Cookies

We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.


Durham Research Online
You are in:

4-Coloring H-free graphs when H is small.

Golovach, P.A. and Paulusma, Daniel and Song, J. (2012) '4-Coloring H-free graphs when H is small.', in Theory and practice of computer science : 38th Conference on Current trends in theory and practice of computer science, SOFSEM 2012, Špindlerův Mlýn, Czech Republic, 21-27 January 2012 ; proceedings. Berlin ; Heidelberg: Springer, pp. 289-300. Lecture notes in computer science. (7147).

Abstract

The k-Coloring problem is to test whether a graph can be colored with at most k colors such that no two adjacent vertices receive the same color. If a graph G does not contain a graph H as an induced subgraph, then G is called H-free. For any fixed graph H on at most 6 vertices, it is known that 3-Coloring is polynomial-time solvable on H-free graphs whenever H is a linear forest and NP-complete otherwise. By solving the missing case P2 + P3, we prove the same result for 4-Coloring provided that H is a fixed graph on at most 5 vertices.

Item Type:Book chapter
Full text:Full text not available from this repository.
Publisher Web site:http://dx.doi.org/10.1007/978-3-642-27660-6_24
Date accepted:No date available
Date deposited:No date available
Date of first online publication:2012
Date first made open access:No date available

Save or Share this output

Export:
Export
Look up in GoogleScholar