Article ID Journal Published Year Pages File Type
428506 Information Processing Letters 2015 6 Pages PDF
Abstract

•We consider vertex colorings of edge-weighted graphs.•We give tight upper and lower bounds on the chromatic number in terms of degree parameters.•The results have implications for wireless scheduling in physical models of interference.

A coloring of a digraph with non-negative edge weights is a partition of the vertex set into independent sets, where a set is independent if the weighted in-degree of each node within the set is less than 1. We give constructive optimal bounds on the chromatic number in terms of maximum in-degree and inductiveness of the graph.

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
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