Equitable Coloring of Sparse Planar Graphs
نویسندگان
چکیده
A proper vertex coloring of a graph G is equitable if the sizes of color classes differ by at most one. The equitable chromatic threshold χeq(G) of G is the smallest integer m such that G is equitably n-colorable for all n ≥ m. We show that for planar graphs G with minimum degree at least two, χeq(G) ≤ 4 if the girth of G is at least 10, and χeq(G) ≤ 3 if the girth of G is at least 14.
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 24 شماره
صفحات -
تاریخ انتشار 2010