A matrix characterization of interval and proper interval graphs

Mertzios, G.B.

Abstract

In this work a matrix representation that characterizes the interval and proper interval graphs is presented, which is useful for the efficient formulation and solution of optimization problems, such as the k-cluster problem. For the construction of this matrix representation every such graph is associated with a node versus node zero–one matrix. In contrast to representations used in most of the previous work, the proposed matrix characterization does not make use of the maximal cliques in the graph investigated.

Citation

Mertzios, G. (2008). A matrix characterization of interval and proper interval graphs. Applied Mathematics Letters, 21(4), 332-337. https://doi.org/10.1016/j.aml.2007.04.001

• Journal Article Type: Article
• Publication Date: Apr 1, 2008
• Deposit Date: Dec 8, 2011
• Journal: Applied Mathematics Letters
• Print ISSN: 0893-9659
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 21
• Issue: 4
• Pages: 332-337
• DOI: https://doi.org/10.1016/j.aml.2007.04.001
• Keywords: Interval graph, Proper interval graph, Matrix representation, Matrix characterization.
• Public URL: https://durham-repository.worktribe.com/output/1501743