FriendshipGraph - Maple Help

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GraphTheory[SpecialGraphs]

 FriendshipGraph
 construct friendship graph

 Calling Sequence FriendshipGraph(m)

Parameters

 m - nonnegative integer

Description

 • The FriendshipGraph(m) function creates the friendship graph on 2m+1 vertices.
 • It is formed by joining m copies of the cycle graph on 3 elements together at a single common vertex.

Examples

 > $\mathrm{with}\left(\mathrm{GraphTheory}\right):$
 > $\mathrm{with}\left(\mathrm{SpecialGraphs}\right):$
 > $F≔\mathrm{FriendshipGraph}\left(3\right)$
 ${F}{≔}{\mathrm{Graph 1: an undirected unweighted graph with 7 vertices and 9 edge\left(s\right)}}$ (1)
 > $\mathrm{Girth}\left(F\right)$
 ${3}$ (2)
 > $\mathrm{ChromaticIndex}\left(F\right)$
 ${6}$ (3)
 > $\mathrm{DrawGraph}\left(F\right)$

References

 "Friendship graph", Wikipedia. http://en.wikipedia.org/wiki/Friendship_graph
 Erdős, Paul; Rényi, Alfréd; Sós, Vera T. (1966), "On a problem of graph theory", Studia Sci. Math. Hungar., 1: 215–235.

Compatibility

 • The GraphTheory[SpecialGraphs][FriendshipGraph] command was introduced in Maple 2019.
 • For more information on Maple 2019 changes, see Updates in Maple 2019.

 See Also