Title
Online Chromatic Number is PSPACE-Complete.
Abstract
In the online graph coloring problem, vertices from a graph , known in advance, arrive in an online fashion and an algorithm must immediately assign a color to each incoming vertex so that the revealed graph is properly colored. The exact location of in the graph is not known to the algorithm, since it sees only previously colored neighbors of . The of is the smallest number of colors such that some online algorithm is able to properly color for any incoming order. We prove that computing the online chromatic number of a graph is PSPACE-complete.
Year
DOI
Venue
2016
10.1007/s00224-017-9797-2
international workshop on combinatorial algorithms
Keywords
DocType
Volume
PSPACE-completeness,Online coloring,Online chromatic number
Conference
62
Issue
ISSN
Citations 
6
1432-4350
2
PageRank 
References 
Authors
0.47
7
2
Name
Order
Citations
PageRank
Martin Böhm1296.65
Pavel Veselý2309.05