Vertex colorings of graphs without short odd cycles
نویسندگان
چکیده
Motivated by the work of Nešetřil and Rödl on “Partitions of vertices”, we are interested in obtaining some quantitative extensions of their result. In particular, given a natural number r and a graph G of order m with odd girth g, we show the existence of a graph H with odd girth at least g and order that is polynomial in m such that every r-coloring of the vertices of H yields a monochromatic and induced copy of G.
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عنوان ژورنال:
- Journal of Graph Theory
دوره 68 شماره
صفحات -
تاریخ انتشار 2011