Next Article in Journal
The Parameterized Complexity of the Rainbow Subgraph Problem
Previous Article in Journal
An Efficient SAR Image Segmentation Framework Using Transformed Nonlocal Mean and Multi-Objective Clustering in Kernel Space
Article Menu

Export Article

Open AccessArticle
Algorithms 2015, 8(1), 46-59; doi:10.3390/a8010046

Recognition of Unipolar and Generalised Split Graphs

1
Department of Statistics, University of Oxford, 1 South Parks Road, Oxford OX1 3TG, United Kingdom
2
Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, Oxford OX 13QD, United Kingdom
*
Author to whom correspondence should be addressed.
Academic Editor: Abu-Khzam Faisal
Received: 4 July 2014 / Accepted: 26 January 2015 / Published: 13 February 2015
View Full-Text   |   Download PDF [263 KB, uploaded 13 February 2015]   |  

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(n2)-time algorithm for recognition of n-vertex generalised split graphs, improving on previous O(n3)-time algorithms. View Full-Text
Keywords: unipolar graphs, generalised split graphs, perfect graphs, recognition algorithms, representations unipolar graphs, generalised split graphs, perfect graphs, recognition algorithms, representations
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

Scifeed alert for new publications

Never miss any articles matching your research from any publisher
  • Get alerts for new papers matching your research
  • Find out the new papers from selected authors
  • Updated daily for 49'000+ journals and 6000+ publishers
  • Define your Scifeed now

SciFeed Share & Cite This Article

MDPI and ACS Style

McDiarmid, C.; Yolov, N. Recognition of Unipolar and Generalised Split Graphs. Algorithms 2015, 8, 46-59.

Show more citation formats Show less citations formats

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Algorithms EISSN 1999-4893 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top