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Chlebík, Miroslav and Chlebíková, Janka (2006) Hard coloring problems in low degree planar bipartite graphs. Discrete Applied Mathematics, 154 (14). pp. 1960-1965. ISSN 0166-218X
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Official URL: http://dx.doi.org/10.1016/j.dam.2006.03.014
Abstract
In this paper we prove that the PRECOLORING EXTENSION problem on graphs of maximum degree 3 is polynomially solvable, but even its restricted version with 3 colors is NP-complete on planar bipartite graphs of maximum degree 4. The restricted version of LIST COLORING, in which the union of all lists consists of 3 colors, is shown to be NP-complete on planar 3-regular bipartite graphs.
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Depositing User: | Miroslav Chlebik |
Date Deposited: | 06 Feb 2012 19:49 |
Last Modified: | 04 Apr 2012 10:48 |
URI: | http://sro.sussex.ac.uk/id/eprint/22356 |