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Cricket Graph

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CricketGraph

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 drawings. It corresponds to the (3,2)-pineapple graph.

It is implemented in the Wolfram Language as GraphData["CricketGraph"].

See also

Butterfly Graph, Moth Graph, Pineapple Graph

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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.House of Graphs. "Cricket Graph." https://houseofgraphs.org/graphs/985.ISGCI: Information System on Graph Class Inclusions v2.0. "List of Small Graphs." https://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

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