Rainbow Ramsey Numbers of Stars and Matchings
نویسنده
چکیده
Expanding on a recent definition by Bialostocki and Voxman, we define the rainbow ramsey number RR(G1, G2) of two graphs G1 and G2 to be the minimum integer N such that any edge-coloring of the complete graph KN with any number of colors must contain either a copy of G1 with every edge the same color or a copy of G2 with every edge a different color. This number is well-defined if G1 is a star or if G2 is acyclic. In this paper, we consider formulas and bounds for this number when one of the two graphs G1 and G2 is a star and the other is 1-regular.
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