7 search results - page 1 / 2 » Excluding induced subgraphs: Critical graphs |
RSA
2011
12 years 11 months ago
2011
Determining the cardinality and describing the structure of H-free graphs is wellinvestigated for many graphs H. In the nineties, Prömel and Steger proved that for a graph H with...
ENDM
2000
13 years 4 months ago
2000
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
FSTTCS
2010
Springer
13 years 2 months ago
2010
Springer
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
FSTTCS
2009
Springer
13 years 11 months ago
2009
Springer
We investigate the parameterized complexity of generalisations and variations of the dominating set problem on classes of graphs that are nowhere dense. In particular, we show that...
BIRTHDAY
2010
Springer
13 years 6 months ago
2010
Springer
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...