Orderings on graphs and game coloring number

Henry Kierstead; Daqing Yang

doi:10.1023/B:ORDE.0000026489.93166.cb

Orderings on graphs and game coloring number

Henry Kierstead, Daqing Yang

CLAS-NS: Mathematical and Statistical Sciences, School of (SMSS)

Research output: Contribution to journal › Article › peer-review

58 Scopus citations

Abstract

Many graph theoretic algorithms rely on an initial ordering of the vertices of the graph which has some special properties. We discuss new ways to measure the quality of such orders, give methods for constructing high quality orders, and provide applications for these orders. While our main motivation is the study of game chromatic number, there have been other applications of these ideas and we expect there will be more.

Original language	English (US)
Pages (from-to)	255-264
Number of pages	10
Journal	Order
Volume	20
Issue number	3
DOIs	https://doi.org/10.1023/B:ORDE.0000026489.93166.cb
State	Published - Dec 1 2003

Keywords

K-coloring number
K-game coloring number
Planar graphs

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology
Computational Theory and Mathematics

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10.1023/B:ORDE.0000026489.93166.cb

Cite this

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Orderings on graphs and game coloring number

Abstract

Keywords

ASJC Scopus subject areas

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