The complete bipartite graph is a tree known as the "claw."
It is isomorphic to the star graph , and is sometimes known as the Y
graph (Horton and Bouwer 1991; Biggs 1993, p. 147).
More generally, the star graph is sometimes also known as a "claw" (Hoffmann
1960; Harary 1994, p. 17).
Biggs, N. L. Algebraic Graph Theory, 2nd ed. Cambridge, England: Cambridge University Press, p. 147,
1993.Brandstädt, A.; Le, V. B.; and Spinrad, J. P. Graph
Classes: A Survey. Philadelphia, PA: SIAM, p. 18, 1987.Harary,
F. Graph
Theory. Reading, MA: Addison-Wesley, 1994.Hoffman, A. J.
"On the Uniqueness of the Triangular Association Scheme." Ann. Math.
Stat.31, 492-497, 1960.Horton, J. D. and Bouwer, I. Z.
"Symmetric Y-Graphs and H-Graphs." J. Combin. Th. Ser. B53,
114-129, 1991.West, D. B. Introduction
to Graph Theory, 2nd ed. Englewood Cliffs, NJ: Prentice-Hall, p. 12,
2000.