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# Y Graph

"The" Y-graph is another term used to refer to a claw graph.

The term "Y-graph" is also used to refer to a graph expansion with the Y graph as its base (e.g., Horton and Bouwer 1991). There are exactly four graph expansions with Y-graph base that are symmetric (Biggs 1993, p. 147).

 graph expansion 28 Coxeter graph (7; 1, 2, 4) 56 cubic symmetric graph (14; 1, 3, 5) 112 cubic symmetric graph (28; 1, 3, 9) 224 cubic symmetric graph (56; 1, 9, 25)

## See also

Claw Graph, Graph Expansion, H Graph, I Graph

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## References

Biggs, N. L. Algebraic Graph Theory, 2nd ed. Cambridge, England: Cambridge University Press, p. 147, 1993.Bouwer, I. Z.; Chernoff, W. W.; Monson, B.; and Star, Z. The Foster Census. Charles Babbage Research Centre, 1988.Horton, J. D. and Bouwer, I. Z. "Symmetric Y-Graphs and H-Graphs." J. Combin. Th. Ser. B 53, 114-129, 1991.

Y Graph

## Cite this as:

Weisstein, Eric W. "Y Graph." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/YGraph.html