Rainbow triangles in edge-colored Kneser graphs

摘要

An edge-colored graph is called rainbow if all the edges have the different colors. The anti-Ramsey number AR(G, H) of a graph H in the graph G is defined to be the maximum number of colors in an edge-coloring of G which does not contain any rainbow H. In this paper, the existence of rainbow triangles in edge-colored Kneser graphs is studied. We give bounds for the anti-Ramsey number of triangles in Kneser graphs. Also, the anti-Ramsey number of triangles with an pendant edge is studied and the bounds are equal to bounds for triangles.