Evaluating a weighted graph polynomial for graphs of bounded tree-width.
Noble, S.D. (2009)
The Electronic Journal of Combinatorics [electronic only]
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Displaying similar documents to “Coverings, Laplacians, and heat kernels of directed graphs.”
Evaluating a weighted graph polynomial for graphs of bounded tree-width.
Star Coloring of Subcubic Graphs
T. Karthick, C.R. Subramanian (2013)
Discussiones Mathematicae Graph Theory
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A star coloring of an undirected graph G is a coloring of the vertices of G such that (i) no two adjacent vertices receive the same color, and (ii) no path on 4 vertices is bi-colored. The star chromatic number of G, χs(G), is the minimum number of colors needed to star color G. In this paper, we show that if a graph G is either non-regular subcubic or cubic with girth at least 6, then χs(G) ≤ 6, and the bound can be realized in linear time.
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