Title
On the hardness of computing maximum self-reduction sequences
Abstract
Various combinatorial problems on graphs can be approached by reducing the size of the graph according to certain rules. Given an instance of a graph problem, it is desirable to apply a sequence of self-reductions that is as long as possible so that the remaining graph is as small as possible. We show that computing maximum reduction sequences for two self-reduction operations — two-pair reduction and quasi-modular clique reduction — are NP-hard problems, and extend this result to larger sets of self-reductions.
Year
DOI
Venue
2001
10.1016/S0012-365X(00)00132-1
Discrete Mathematics
Keywords
Field
DocType
maximum self-reduction sequence,self-reduction,complexity,graph colouring,np hard problem
Perfect graph,Block graph,Discrete mathematics,Combinatorics,Line graph,Clique graph,Graph property,Cograph,Butterfly graph,Mathematics,Split graph
Journal
Volume
Issue
ISSN
226
1-3
Discrete Mathematics
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Jeffrey H. Kingston133638.79
Nicholas Paul Sheppard228525.84