Clique-coloring of Ks3, 3-minor free graphs
نویسندگان
چکیده
A clique-coloring of a given graph G is a coloring of the vertices of G such that no maximal clique of size at least two is monocolored. The clique-chromatic number of G is the least number of colors for which G admits a clique-coloring. It has been proved that every planar graph is 3-clique colorable and every claw-free planar graph, different from an odd cycle, is 2-clique colorable. In this paper, we generalize these results to K3,3-minor free (K3,3-subdivision free) graphs.
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ورودعنوان ژورنال:
- CoRR
دوره abs/1801.02186 شماره
صفحات -
تاریخ انتشار 2018