The cricket graph (ISGCI), also known as the campstool graph (Barrett et al. 2025) or folding stool graph, is the 5-vertex graph illustrated above in a number of embeddings.
It corresponds to the -pineapple graph.
It is implemented in the Wolfram Language
as GraphData["CricketGraph"].
See also
Butterfly Graph,
Moth
Graph,
Pineapple Graph
Explore with Wolfram|Alpha
References
Barrett, W.; Hunnell, M.; Hutchens, J.; and Sinkovic, J. "The Classification of Graphs on 8 vertices with Coinciding Zero Forcing number
and Maximum Nullity." 12 Jun 2025. https://arxiv.org/abs/2506.10726.ISGCI:
Information System on Graph Class Inclusions v2.0. "List of Small Graphs."
http://www.graphclasses.org/smallgraphs.html.Referenced
on Wolfram|Alpha
Cricket Graph
Cite this as:
Weisstein, Eric W. "Cricket Graph." From
MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/CricketGraph.html
Subject classifications