The parapluie (French for 'umbrella') graph is the graph on 7 vertices illustrated above.
It is implemented in the Wolfram Language as GraphData["ParapluieGraph"].
Parapluie Graph
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References
Brandstädt, A.; Le, V. B.; and Spinrad, J. P. Graph Classes: A Survey. Philadelphia, PA: SIAM, p. 19, 1987.ISGCI: Information System on Graph Class Inclusions v2.0. "List of Small Graphs." http://www.graphclasses.org/smallgraphs.html.Cite this as:
Weisstein, Eric W. "Parapluie Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/ParapluieGraph.html