GraphTheory[SpecialGraphs] - Maple Programming Help

Home : Support : Online Help : Mathematics : Discrete Mathematics : Graph Theory : GraphTheory Package : SpecialGraphs : GraphTheory/SpecialGraphs/SoccerBallGraph

GraphTheory[SpecialGraphs]

 SoccerBallGraph
 construct soccer ball graph

 Calling Sequence SoccerBallGraph() SoccerBallGraph(V)

Parameters

 V - set or list of size 60 (optional)

Description

 • The SoccerBallGraph command creates the so called soccer ball graph on 60 vertices. The soccer ball graph is a planar 3-regular graph with no triangles. As an option, you may input the labels of the vertices as a set or list of size 60.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $\mathrm{SB}≔\mathrm{SoccerBallGraph}\left(\right)$
 ${\mathrm{SB}}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 60 vertices and 90 edge\left(s\right)}}$ (1)
 > $\mathrm{IsPlanar}\left(\mathrm{SB},'F'\right)$
 ${\mathrm{true}}$ (2)
 > $\mathrm{nops}\left(F\right)$
 ${32}$ (3)
 > $\mathrm{DrawGraph}\left(\mathrm{SB},\mathrm{style}=\mathrm{spring}\right)$
 > $\mathrm{DrawGraph}\left(\mathrm{SB},\mathrm{style}=\mathrm{spring},\mathrm{dimension}=3\right)$