Title
Recognition of Unipolar and Generalised Split Graphs.
Abstract
A graph is unipolar if it can be partitioned into a clique and a disjoint union of cliques, and a graph is a generalised split graph if it or its complement is unipolar. A unipolar partition of a graph can be used to find efficiently the clique number, the stability number, the chromatic number, and to solve other problems that are hard for general graphs. We present an O(n(2))-time algorithm for recognition of n-vertex generalised split graphs, improving on previous O(n(3))-time algorithms.
Year
DOI
Venue
2015
10.3390/a8010046
ALGORITHMS
Keywords
Field
DocType
generalised split graphs,perfect graphs,recognition algorithms,representations,unipolar graphs
Block graph,Discrete mathematics,Combinatorics,Line graph,Clique-sum,Chordal graph,Cograph,Treewidth,Pathwidth,Mathematics,Split graph
Journal
Volume
Issue
ISSN
8
1
1999-4893
Citations 
PageRank 
References 
5
0.65
7
Authors
2
Name
Order
Citations
PageRank
Colin McDiarmid11071167.05
Nikola Yolov272.05