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- W2966179270 abstract "The generalized coloring numbers col_r(G) (also denoted by scol_r(G)) and wcol_r(G) of a graph G were introduced by Kierstead and Yang as a generalization of the usual coloring number, and have found important theoretical and algorithmic applications. For each distance r, these numbers are determined by an optimal ordering of the vertices of G. We study the question of whether it is possible to find a single uniform ordering that is good for all distances r. We show that the answer to this question is essentially yes. Our results give new characterizations of graph classes with bounded expansion and nowhere dense graph classes." @default.
- W2966179270 created "2019-08-13" @default.
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- W2966179270 date "2019-07-28" @default.
- W2966179270 modified "2023-09-27" @default.
- W2966179270 title "Uniform Orderings for Generalized Coloring Numbers" @default.
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- W2966179270 doi "https://doi.org/10.48550/arxiv.1907.12149" @default.
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