Recreating Peterson graph with tkz graph?
up vote
5
down vote
favorite
I was trying to recreate
Here is my MWE
documentclass{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 6pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
begin{document}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
end{minipage}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4]%
grPetersen[form=2,prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{minipage}
end{document}
tikz-pgf graphs tkz-graph
add a comment |
up vote
5
down vote
favorite
I was trying to recreate
Here is my MWE
documentclass{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 6pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
begin{document}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
end{minipage}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4]%
grPetersen[form=2,prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{minipage}
end{document}
tikz-pgf graphs tkz-graph
add a comment |
up vote
5
down vote
favorite
up vote
5
down vote
favorite
I was trying to recreate
Here is my MWE
documentclass{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 6pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
begin{document}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
end{minipage}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4]%
grPetersen[form=2,prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{minipage}
end{document}
tikz-pgf graphs tkz-graph
I was trying to recreate
Here is my MWE
documentclass{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 6pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
begin{document}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
end{minipage}
begin{minipage}{0.6textwidth}
begin{tikzpicture}[scale=0.4]%
grPetersen[form=2,prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{minipage}
end{document}
tikz-pgf graphs tkz-graph
tikz-pgf graphs tkz-graph
asked Nov 25 at 6:58
marya
1,15711022
1,15711022
add a comment |
add a comment |
2 Answers
2
active
oldest
votes
up vote
4
down vote
accepted
Just with the right node labels and font …
documentclass[border=5pt,tikz]{standalone}
usetikzlibrary{backgrounds}
usepackage{mathpazo}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzset{
every node/.style={
fill=iceberg!40,draw,circle,minimum width=.5cm,font=Large
}
}
begin{document}
begin{tikzpicture}
foreach x in {0,72,...,288}
{
pgfmathsetmacroindex{x/72+6}
begin{pgfonlayer}{background}
draw (x+18:2) -- (x+2*72+18:2);
draw (x+18:5) -- (x+72+18:5);
draw (x+18:2) -- (x+18:5);
end{pgfonlayer}
node at (x+3*72+18:2) {$u_{pgfmathprintnumberindex}$};
pgfmathsetmacronindex{5-x/72}
node at (x+3*72+18:5) {$u_{pgfmathprintnumbernindex}$};
}
begin{scope}[xshift=12cm]
foreach x in {0,60,...,300}
{
pgfmathsetmacroindex{6-x/60}
begin{pgfonlayer}{background}
draw[rotate=30] (x:5) -- (x+60:5);
foreach x in {-30,90,210}
{
draw (x:5) -- (0,0);
}
end{pgfonlayer}
node at (x+30+3*60:5) {$v_{pgfmathprintnumberindex}$};
}
foreach x in {0,120,240}
{
pgfmathsetmacroindex{9-x/120}
node at (x-30:2.5) {$v_{pgfmathprintnumberindex}$};
begin{pgfonlayer}{background}
draw (x-30:2.5) to[bend left=30] (x-30+180:5);
end{pgfonlayer}
node at (0,0) {$v_{10}$};
}
end{scope}
end{tikzpicture}
end{document}
Output:
$v_{10}$ missing.
– marya
Nov 25 at 13:47
1
@marya, missing$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future
– Zarko
Nov 25 at 13:49
node at (0,0) {$v_{10}$};
works fine.
– marya
Nov 25 at 16:30
add a comment |
up vote
5
down vote
Is this okay?
documentclass[border=3mm]{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 8pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
makeatletter
newcommand*{grPetersenm}[1]{%
begingroup%
setkeys[GR]{cl}{#1}%
grCycle[#1]{6}
begin{scope}[rotate=120]
edeftkzb@rtemp{cmdGR@cl@RB}
edeftkzb@ptemp{cmdGR@cl@prefixx}
grStar[#1,RA=tkzb@rtemp,prefix=tkzb@ptemp]{4}
end{scope}
setcounter{tkz@gr@a}{2}
foreach V@x in {0,...,5}{%
ifthenelse{equal{thetkz@gr@a}{-1}}{%
setcounter{tkz@gr@a}{2}}{%
}%
ifoddV@x
tikzset{EdgeStyle/.append style = {bend right}}fi
Edge(cmdGR@cl@prefixV@x)(cmdGR@cl@prefixxthetkz@gr@a)
addtocounter{tkz@gr@a}{-1}%
}%
endgroup%
}
makeatother
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=90]%
grPetersenm[prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{document}
EDIT
Changing the labels involve redefining few more macros. I think tikz-only solution would be easier. You can try something like this:
documentclass[border=3mm]{standalone}
usepackage{tikz}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,minimum size = 8mm,draw]
tikzstyle{EdgeStyle} = [line width=1pt]
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
draw[EdgeStyle] (287:4cm) node[VertexStyle](u10){$u_{10}$} -- ++(287:4cm) node[VertexStyle](u1){$u_1$};
draw[EdgeStyle] (0:4cm) node[VertexStyle](u9){$u_9$} -- ++(0:4cm) node[VertexStyle](u2){$u_2$};
draw[EdgeStyle] (72:4cm) node[VertexStyle](u8){$u_8$} -- ++(72:4cm) node[VertexStyle](u3){$u_3$};
draw[EdgeStyle] (144:4cm) node[VertexStyle](u7){$u_7$} -- ++(144:4cm) node[VertexStyle](u4){$u_4$};
draw[EdgeStyle] (215:4cm) node[VertexStyle](u6){$u_6$} -- ++(215:4cm) node[VertexStyle](u5){$u_5$};
draw[EdgeStyle] (u1) -- (u2) -- (u3) -- (u4) -- (u5)--(u1);
draw[EdgeStyle] (u6) -- (u8) -- (u10) -- (u7) -- (u9)--(u6);
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=0]
draw[EdgeStyle] (300:8cm) node[VertexStyle](v1){$v_{1}$} -- (0:8cm) node[VertexStyle](v2){$v_{2}$} -- (60:8cm) node[VertexStyle](v3){$v_{3}$} -- (120:8cm) node[VertexStyle](v4){$v_{4}$} -- (180:8cm) node[VertexStyle](v5){$v_{5}$} -- (240:8cm) node[VertexStyle](v6){$v_{6}$} --cycle;
draw[EdgeStyle] (0:0cm) node[VertexStyle](v10){$v_{10}$} -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (120:4cm) node[VertexStyle](v9){$v_{9}$} -- (v4);
draw[EdgeStyle] (v10) -- (240:4cm) node[VertexStyle](v7){$v_{7}$} -- (v6);
draw[EdgeStyle] (v5) edge[bend right] (v8);
draw[EdgeStyle] (v3) edge[bend right] (v7);
draw[EdgeStyle] (v1) edge[bend right] (v9);
end{tikzpicture}
end{document}
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
@marya In that case, it would be better to draw it withoutgrPetersen
. just using tikz
– nidhin
Nov 25 at 12:23
add a comment |
2 Answers
2
active
oldest
votes
2 Answers
2
active
oldest
votes
active
oldest
votes
active
oldest
votes
up vote
4
down vote
accepted
Just with the right node labels and font …
documentclass[border=5pt,tikz]{standalone}
usetikzlibrary{backgrounds}
usepackage{mathpazo}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzset{
every node/.style={
fill=iceberg!40,draw,circle,minimum width=.5cm,font=Large
}
}
begin{document}
begin{tikzpicture}
foreach x in {0,72,...,288}
{
pgfmathsetmacroindex{x/72+6}
begin{pgfonlayer}{background}
draw (x+18:2) -- (x+2*72+18:2);
draw (x+18:5) -- (x+72+18:5);
draw (x+18:2) -- (x+18:5);
end{pgfonlayer}
node at (x+3*72+18:2) {$u_{pgfmathprintnumberindex}$};
pgfmathsetmacronindex{5-x/72}
node at (x+3*72+18:5) {$u_{pgfmathprintnumbernindex}$};
}
begin{scope}[xshift=12cm]
foreach x in {0,60,...,300}
{
pgfmathsetmacroindex{6-x/60}
begin{pgfonlayer}{background}
draw[rotate=30] (x:5) -- (x+60:5);
foreach x in {-30,90,210}
{
draw (x:5) -- (0,0);
}
end{pgfonlayer}
node at (x+30+3*60:5) {$v_{pgfmathprintnumberindex}$};
}
foreach x in {0,120,240}
{
pgfmathsetmacroindex{9-x/120}
node at (x-30:2.5) {$v_{pgfmathprintnumberindex}$};
begin{pgfonlayer}{background}
draw (x-30:2.5) to[bend left=30] (x-30+180:5);
end{pgfonlayer}
node at (0,0) {$v_{10}$};
}
end{scope}
end{tikzpicture}
end{document}
Output:
$v_{10}$ missing.
– marya
Nov 25 at 13:47
1
@marya, missing$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future
– Zarko
Nov 25 at 13:49
node at (0,0) {$v_{10}$};
works fine.
– marya
Nov 25 at 16:30
add a comment |
up vote
4
down vote
accepted
Just with the right node labels and font …
documentclass[border=5pt,tikz]{standalone}
usetikzlibrary{backgrounds}
usepackage{mathpazo}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzset{
every node/.style={
fill=iceberg!40,draw,circle,minimum width=.5cm,font=Large
}
}
begin{document}
begin{tikzpicture}
foreach x in {0,72,...,288}
{
pgfmathsetmacroindex{x/72+6}
begin{pgfonlayer}{background}
draw (x+18:2) -- (x+2*72+18:2);
draw (x+18:5) -- (x+72+18:5);
draw (x+18:2) -- (x+18:5);
end{pgfonlayer}
node at (x+3*72+18:2) {$u_{pgfmathprintnumberindex}$};
pgfmathsetmacronindex{5-x/72}
node at (x+3*72+18:5) {$u_{pgfmathprintnumbernindex}$};
}
begin{scope}[xshift=12cm]
foreach x in {0,60,...,300}
{
pgfmathsetmacroindex{6-x/60}
begin{pgfonlayer}{background}
draw[rotate=30] (x:5) -- (x+60:5);
foreach x in {-30,90,210}
{
draw (x:5) -- (0,0);
}
end{pgfonlayer}
node at (x+30+3*60:5) {$v_{pgfmathprintnumberindex}$};
}
foreach x in {0,120,240}
{
pgfmathsetmacroindex{9-x/120}
node at (x-30:2.5) {$v_{pgfmathprintnumberindex}$};
begin{pgfonlayer}{background}
draw (x-30:2.5) to[bend left=30] (x-30+180:5);
end{pgfonlayer}
node at (0,0) {$v_{10}$};
}
end{scope}
end{tikzpicture}
end{document}
Output:
$v_{10}$ missing.
– marya
Nov 25 at 13:47
1
@marya, missing$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future
– Zarko
Nov 25 at 13:49
node at (0,0) {$v_{10}$};
works fine.
– marya
Nov 25 at 16:30
add a comment |
up vote
4
down vote
accepted
up vote
4
down vote
accepted
Just with the right node labels and font …
documentclass[border=5pt,tikz]{standalone}
usetikzlibrary{backgrounds}
usepackage{mathpazo}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzset{
every node/.style={
fill=iceberg!40,draw,circle,minimum width=.5cm,font=Large
}
}
begin{document}
begin{tikzpicture}
foreach x in {0,72,...,288}
{
pgfmathsetmacroindex{x/72+6}
begin{pgfonlayer}{background}
draw (x+18:2) -- (x+2*72+18:2);
draw (x+18:5) -- (x+72+18:5);
draw (x+18:2) -- (x+18:5);
end{pgfonlayer}
node at (x+3*72+18:2) {$u_{pgfmathprintnumberindex}$};
pgfmathsetmacronindex{5-x/72}
node at (x+3*72+18:5) {$u_{pgfmathprintnumbernindex}$};
}
begin{scope}[xshift=12cm]
foreach x in {0,60,...,300}
{
pgfmathsetmacroindex{6-x/60}
begin{pgfonlayer}{background}
draw[rotate=30] (x:5) -- (x+60:5);
foreach x in {-30,90,210}
{
draw (x:5) -- (0,0);
}
end{pgfonlayer}
node at (x+30+3*60:5) {$v_{pgfmathprintnumberindex}$};
}
foreach x in {0,120,240}
{
pgfmathsetmacroindex{9-x/120}
node at (x-30:2.5) {$v_{pgfmathprintnumberindex}$};
begin{pgfonlayer}{background}
draw (x-30:2.5) to[bend left=30] (x-30+180:5);
end{pgfonlayer}
node at (0,0) {$v_{10}$};
}
end{scope}
end{tikzpicture}
end{document}
Output:
Just with the right node labels and font …
documentclass[border=5pt,tikz]{standalone}
usetikzlibrary{backgrounds}
usepackage{mathpazo}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzset{
every node/.style={
fill=iceberg!40,draw,circle,minimum width=.5cm,font=Large
}
}
begin{document}
begin{tikzpicture}
foreach x in {0,72,...,288}
{
pgfmathsetmacroindex{x/72+6}
begin{pgfonlayer}{background}
draw (x+18:2) -- (x+2*72+18:2);
draw (x+18:5) -- (x+72+18:5);
draw (x+18:2) -- (x+18:5);
end{pgfonlayer}
node at (x+3*72+18:2) {$u_{pgfmathprintnumberindex}$};
pgfmathsetmacronindex{5-x/72}
node at (x+3*72+18:5) {$u_{pgfmathprintnumbernindex}$};
}
begin{scope}[xshift=12cm]
foreach x in {0,60,...,300}
{
pgfmathsetmacroindex{6-x/60}
begin{pgfonlayer}{background}
draw[rotate=30] (x:5) -- (x+60:5);
foreach x in {-30,90,210}
{
draw (x:5) -- (0,0);
}
end{pgfonlayer}
node at (x+30+3*60:5) {$v_{pgfmathprintnumberindex}$};
}
foreach x in {0,120,240}
{
pgfmathsetmacroindex{9-x/120}
node at (x-30:2.5) {$v_{pgfmathprintnumberindex}$};
begin{pgfonlayer}{background}
draw (x-30:2.5) to[bend left=30] (x-30+180:5);
end{pgfonlayer}
node at (0,0) {$v_{10}$};
}
end{scope}
end{tikzpicture}
end{document}
Output:
edited Nov 25 at 16:10
answered Nov 25 at 13:08
current_user
3,0561434
3,0561434
$v_{10}$ missing.
– marya
Nov 25 at 13:47
1
@marya, missing$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future
– Zarko
Nov 25 at 13:49
node at (0,0) {$v_{10}$};
works fine.
– marya
Nov 25 at 16:30
add a comment |
$v_{10}$ missing.
– marya
Nov 25 at 13:47
1
@marya, missing$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future
– Zarko
Nov 25 at 13:49
node at (0,0) {$v_{10}$};
works fine.
– marya
Nov 25 at 16:30
$v_{10}$ missing.
– marya
Nov 25 at 13:47
$v_{10}$ missing.
– marya
Nov 25 at 13:47
1
1
@marya, missing
$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future– Zarko
Nov 25 at 13:49
@marya, missing
$v_{10}$
you can add it yourself .... on this way you will learn how to draw similar diagrams in a future– Zarko
Nov 25 at 13:49
node at (0,0) {$v_{10}$};
works fine.– marya
Nov 25 at 16:30
node at (0,0) {$v_{10}$};
works fine.– marya
Nov 25 at 16:30
add a comment |
up vote
5
down vote
Is this okay?
documentclass[border=3mm]{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 8pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
makeatletter
newcommand*{grPetersenm}[1]{%
begingroup%
setkeys[GR]{cl}{#1}%
grCycle[#1]{6}
begin{scope}[rotate=120]
edeftkzb@rtemp{cmdGR@cl@RB}
edeftkzb@ptemp{cmdGR@cl@prefixx}
grStar[#1,RA=tkzb@rtemp,prefix=tkzb@ptemp]{4}
end{scope}
setcounter{tkz@gr@a}{2}
foreach V@x in {0,...,5}{%
ifthenelse{equal{thetkz@gr@a}{-1}}{%
setcounter{tkz@gr@a}{2}}{%
}%
ifoddV@x
tikzset{EdgeStyle/.append style = {bend right}}fi
Edge(cmdGR@cl@prefixV@x)(cmdGR@cl@prefixxthetkz@gr@a)
addtocounter{tkz@gr@a}{-1}%
}%
endgroup%
}
makeatother
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=90]%
grPetersenm[prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{document}
EDIT
Changing the labels involve redefining few more macros. I think tikz-only solution would be easier. You can try something like this:
documentclass[border=3mm]{standalone}
usepackage{tikz}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,minimum size = 8mm,draw]
tikzstyle{EdgeStyle} = [line width=1pt]
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
draw[EdgeStyle] (287:4cm) node[VertexStyle](u10){$u_{10}$} -- ++(287:4cm) node[VertexStyle](u1){$u_1$};
draw[EdgeStyle] (0:4cm) node[VertexStyle](u9){$u_9$} -- ++(0:4cm) node[VertexStyle](u2){$u_2$};
draw[EdgeStyle] (72:4cm) node[VertexStyle](u8){$u_8$} -- ++(72:4cm) node[VertexStyle](u3){$u_3$};
draw[EdgeStyle] (144:4cm) node[VertexStyle](u7){$u_7$} -- ++(144:4cm) node[VertexStyle](u4){$u_4$};
draw[EdgeStyle] (215:4cm) node[VertexStyle](u6){$u_6$} -- ++(215:4cm) node[VertexStyle](u5){$u_5$};
draw[EdgeStyle] (u1) -- (u2) -- (u3) -- (u4) -- (u5)--(u1);
draw[EdgeStyle] (u6) -- (u8) -- (u10) -- (u7) -- (u9)--(u6);
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=0]
draw[EdgeStyle] (300:8cm) node[VertexStyle](v1){$v_{1}$} -- (0:8cm) node[VertexStyle](v2){$v_{2}$} -- (60:8cm) node[VertexStyle](v3){$v_{3}$} -- (120:8cm) node[VertexStyle](v4){$v_{4}$} -- (180:8cm) node[VertexStyle](v5){$v_{5}$} -- (240:8cm) node[VertexStyle](v6){$v_{6}$} --cycle;
draw[EdgeStyle] (0:0cm) node[VertexStyle](v10){$v_{10}$} -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (120:4cm) node[VertexStyle](v9){$v_{9}$} -- (v4);
draw[EdgeStyle] (v10) -- (240:4cm) node[VertexStyle](v7){$v_{7}$} -- (v6);
draw[EdgeStyle] (v5) edge[bend right] (v8);
draw[EdgeStyle] (v3) edge[bend right] (v7);
draw[EdgeStyle] (v1) edge[bend right] (v9);
end{tikzpicture}
end{document}
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
@marya In that case, it would be better to draw it withoutgrPetersen
. just using tikz
– nidhin
Nov 25 at 12:23
add a comment |
up vote
5
down vote
Is this okay?
documentclass[border=3mm]{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 8pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
makeatletter
newcommand*{grPetersenm}[1]{%
begingroup%
setkeys[GR]{cl}{#1}%
grCycle[#1]{6}
begin{scope}[rotate=120]
edeftkzb@rtemp{cmdGR@cl@RB}
edeftkzb@ptemp{cmdGR@cl@prefixx}
grStar[#1,RA=tkzb@rtemp,prefix=tkzb@ptemp]{4}
end{scope}
setcounter{tkz@gr@a}{2}
foreach V@x in {0,...,5}{%
ifthenelse{equal{thetkz@gr@a}{-1}}{%
setcounter{tkz@gr@a}{2}}{%
}%
ifoddV@x
tikzset{EdgeStyle/.append style = {bend right}}fi
Edge(cmdGR@cl@prefixV@x)(cmdGR@cl@prefixxthetkz@gr@a)
addtocounter{tkz@gr@a}{-1}%
}%
endgroup%
}
makeatother
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=90]%
grPetersenm[prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{document}
EDIT
Changing the labels involve redefining few more macros. I think tikz-only solution would be easier. You can try something like this:
documentclass[border=3mm]{standalone}
usepackage{tikz}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,minimum size = 8mm,draw]
tikzstyle{EdgeStyle} = [line width=1pt]
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
draw[EdgeStyle] (287:4cm) node[VertexStyle](u10){$u_{10}$} -- ++(287:4cm) node[VertexStyle](u1){$u_1$};
draw[EdgeStyle] (0:4cm) node[VertexStyle](u9){$u_9$} -- ++(0:4cm) node[VertexStyle](u2){$u_2$};
draw[EdgeStyle] (72:4cm) node[VertexStyle](u8){$u_8$} -- ++(72:4cm) node[VertexStyle](u3){$u_3$};
draw[EdgeStyle] (144:4cm) node[VertexStyle](u7){$u_7$} -- ++(144:4cm) node[VertexStyle](u4){$u_4$};
draw[EdgeStyle] (215:4cm) node[VertexStyle](u6){$u_6$} -- ++(215:4cm) node[VertexStyle](u5){$u_5$};
draw[EdgeStyle] (u1) -- (u2) -- (u3) -- (u4) -- (u5)--(u1);
draw[EdgeStyle] (u6) -- (u8) -- (u10) -- (u7) -- (u9)--(u6);
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=0]
draw[EdgeStyle] (300:8cm) node[VertexStyle](v1){$v_{1}$} -- (0:8cm) node[VertexStyle](v2){$v_{2}$} -- (60:8cm) node[VertexStyle](v3){$v_{3}$} -- (120:8cm) node[VertexStyle](v4){$v_{4}$} -- (180:8cm) node[VertexStyle](v5){$v_{5}$} -- (240:8cm) node[VertexStyle](v6){$v_{6}$} --cycle;
draw[EdgeStyle] (0:0cm) node[VertexStyle](v10){$v_{10}$} -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (120:4cm) node[VertexStyle](v9){$v_{9}$} -- (v4);
draw[EdgeStyle] (v10) -- (240:4cm) node[VertexStyle](v7){$v_{7}$} -- (v6);
draw[EdgeStyle] (v5) edge[bend right] (v8);
draw[EdgeStyle] (v3) edge[bend right] (v7);
draw[EdgeStyle] (v1) edge[bend right] (v9);
end{tikzpicture}
end{document}
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
@marya In that case, it would be better to draw it withoutgrPetersen
. just using tikz
– nidhin
Nov 25 at 12:23
add a comment |
up vote
5
down vote
up vote
5
down vote
Is this okay?
documentclass[border=3mm]{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 8pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
makeatletter
newcommand*{grPetersenm}[1]{%
begingroup%
setkeys[GR]{cl}{#1}%
grCycle[#1]{6}
begin{scope}[rotate=120]
edeftkzb@rtemp{cmdGR@cl@RB}
edeftkzb@ptemp{cmdGR@cl@prefixx}
grStar[#1,RA=tkzb@rtemp,prefix=tkzb@ptemp]{4}
end{scope}
setcounter{tkz@gr@a}{2}
foreach V@x in {0,...,5}{%
ifthenelse{equal{thetkz@gr@a}{-1}}{%
setcounter{tkz@gr@a}{2}}{%
}%
ifoddV@x
tikzset{EdgeStyle/.append style = {bend right}}fi
Edge(cmdGR@cl@prefixV@x)(cmdGR@cl@prefixxthetkz@gr@a)
addtocounter{tkz@gr@a}{-1}%
}%
endgroup%
}
makeatother
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=90]%
grPetersenm[prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{document}
EDIT
Changing the labels involve redefining few more macros. I think tikz-only solution would be easier. You can try something like this:
documentclass[border=3mm]{standalone}
usepackage{tikz}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,minimum size = 8mm,draw]
tikzstyle{EdgeStyle} = [line width=1pt]
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
draw[EdgeStyle] (287:4cm) node[VertexStyle](u10){$u_{10}$} -- ++(287:4cm) node[VertexStyle](u1){$u_1$};
draw[EdgeStyle] (0:4cm) node[VertexStyle](u9){$u_9$} -- ++(0:4cm) node[VertexStyle](u2){$u_2$};
draw[EdgeStyle] (72:4cm) node[VertexStyle](u8){$u_8$} -- ++(72:4cm) node[VertexStyle](u3){$u_3$};
draw[EdgeStyle] (144:4cm) node[VertexStyle](u7){$u_7$} -- ++(144:4cm) node[VertexStyle](u4){$u_4$};
draw[EdgeStyle] (215:4cm) node[VertexStyle](u6){$u_6$} -- ++(215:4cm) node[VertexStyle](u5){$u_5$};
draw[EdgeStyle] (u1) -- (u2) -- (u3) -- (u4) -- (u5)--(u1);
draw[EdgeStyle] (u6) -- (u8) -- (u10) -- (u7) -- (u9)--(u6);
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=0]
draw[EdgeStyle] (300:8cm) node[VertexStyle](v1){$v_{1}$} -- (0:8cm) node[VertexStyle](v2){$v_{2}$} -- (60:8cm) node[VertexStyle](v3){$v_{3}$} -- (120:8cm) node[VertexStyle](v4){$v_{4}$} -- (180:8cm) node[VertexStyle](v5){$v_{5}$} -- (240:8cm) node[VertexStyle](v6){$v_{6}$} --cycle;
draw[EdgeStyle] (0:0cm) node[VertexStyle](v10){$v_{10}$} -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (120:4cm) node[VertexStyle](v9){$v_{9}$} -- (v4);
draw[EdgeStyle] (v10) -- (240:4cm) node[VertexStyle](v7){$v_{7}$} -- (v6);
draw[EdgeStyle] (v5) edge[bend right] (v8);
draw[EdgeStyle] (v3) edge[bend right] (v7);
draw[EdgeStyle] (v1) edge[bend right] (v9);
end{tikzpicture}
end{document}
Is this okay?
documentclass[border=3mm]{standalone}
usepackage{tkz-graph}
usepackage{tkz-berge}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,
minimum size = 8pt,
draw]
renewcommand*{VertexInnerSep}{8pt}
SetVertexLabelSetVertexMath
makeatletter
newcommand*{grPetersenm}[1]{%
begingroup%
setkeys[GR]{cl}{#1}%
grCycle[#1]{6}
begin{scope}[rotate=120]
edeftkzb@rtemp{cmdGR@cl@RB}
edeftkzb@ptemp{cmdGR@cl@prefixx}
grStar[#1,RA=tkzb@rtemp,prefix=tkzb@ptemp]{4}
end{scope}
setcounter{tkz@gr@a}{2}
foreach V@x in {0,...,5}{%
ifthenelse{equal{thetkz@gr@a}{-1}}{%
setcounter{tkz@gr@a}{2}}{%
}%
ifoddV@x
tikzset{EdgeStyle/.append style = {bend right}}fi
Edge(cmdGR@cl@prefixV@x)(cmdGR@cl@prefixxthetkz@gr@a)
addtocounter{tkz@gr@a}{-1}%
}%
endgroup%
}
makeatother
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
grGeneralizedPetersen[Math,prefix=u,RA=7,RB=4]{5}{2}
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=90]%
grPetersenm[prefix=v,RA=7,RB=3]%
end{tikzpicture}
end{document}
EDIT
Changing the labels involve redefining few more macros. I think tikz-only solution would be easier. You can try something like this:
documentclass[border=3mm]{standalone}
usepackage{tikz}
definecolor{iceberg}{rgb}{0.44, 0.65, 0.82}
tikzstyle{VertexStyle} = [shape = circle, fill=iceberg,minimum size = 8mm,draw]
tikzstyle{EdgeStyle} = [line width=1pt]
begin{document}
begin{tikzpicture}[scale=0.7,rotate=90]
draw[EdgeStyle] (287:4cm) node[VertexStyle](u10){$u_{10}$} -- ++(287:4cm) node[VertexStyle](u1){$u_1$};
draw[EdgeStyle] (0:4cm) node[VertexStyle](u9){$u_9$} -- ++(0:4cm) node[VertexStyle](u2){$u_2$};
draw[EdgeStyle] (72:4cm) node[VertexStyle](u8){$u_8$} -- ++(72:4cm) node[VertexStyle](u3){$u_3$};
draw[EdgeStyle] (144:4cm) node[VertexStyle](u7){$u_7$} -- ++(144:4cm) node[VertexStyle](u4){$u_4$};
draw[EdgeStyle] (215:4cm) node[VertexStyle](u6){$u_6$} -- ++(215:4cm) node[VertexStyle](u5){$u_5$};
draw[EdgeStyle] (u1) -- (u2) -- (u3) -- (u4) -- (u5)--(u1);
draw[EdgeStyle] (u6) -- (u8) -- (u10) -- (u7) -- (u9)--(u6);
end{tikzpicture}
begin{tikzpicture}[scale=0.7,rotate=0]
draw[EdgeStyle] (300:8cm) node[VertexStyle](v1){$v_{1}$} -- (0:8cm) node[VertexStyle](v2){$v_{2}$} -- (60:8cm) node[VertexStyle](v3){$v_{3}$} -- (120:8cm) node[VertexStyle](v4){$v_{4}$} -- (180:8cm) node[VertexStyle](v5){$v_{5}$} -- (240:8cm) node[VertexStyle](v6){$v_{6}$} --cycle;
draw[EdgeStyle] (0:0cm) node[VertexStyle](v10){$v_{10}$} -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (0:4cm) node[VertexStyle](v8){$v_{8}$} -- (v2);
draw[EdgeStyle] (v10) -- (120:4cm) node[VertexStyle](v9){$v_{9}$} -- (v4);
draw[EdgeStyle] (v10) -- (240:4cm) node[VertexStyle](v7){$v_{7}$} -- (v6);
draw[EdgeStyle] (v5) edge[bend right] (v8);
draw[EdgeStyle] (v3) edge[bend right] (v7);
draw[EdgeStyle] (v1) edge[bend right] (v9);
end{tikzpicture}
end{document}
edited Nov 25 at 12:35
answered Nov 25 at 9:33
nidhin
2,189923
2,189923
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
@marya In that case, it would be better to draw it withoutgrPetersen
. just using tikz
– nidhin
Nov 25 at 12:23
add a comment |
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
@marya In that case, it would be better to draw it withoutgrPetersen
. just using tikz
– nidhin
Nov 25 at 12:23
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
Yes, except the labels of vertices are $u_1,dots,u_10$ and $v_1,dots,v_10$.
– marya
Nov 25 at 9:38
@marya In that case, it would be better to draw it without
grPetersen
. just using tikz– nidhin
Nov 25 at 12:23
@marya In that case, it would be better to draw it without
grPetersen
. just using tikz– nidhin
Nov 25 at 12:23
add a comment |
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