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)

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.