Atoms and clique separators in graph products-Reference-Cited by-同舟云学术

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Atoms and clique separators in graph products

Published:2012 Issue:1 Volume:6 Page:46-62
ISSN:1452-8630
Container-title:Applicable Analysis and Discrete Mathematics
language:en
Short-container-title:APPL ANAL DISCRETE M

Author:

Anand Bijo¹,Balakrishnan Kannan²,Changat Manoj¹,Peterin Iztok³

Affiliation:

1. Department of Futures Studies, University of Kerala, Trivandrum, India

2. Department of Computer Applications, Cochin University of Science and Technology, Cochin, India

3. Institute of Mathematics and Physics, Faculty of Electrical Engineering and Computer Science, University of Maribor, Maribor, Slovenia

Abstract

We describe in the present work all minimal clique separators of the four standard products-Cartesian, strong, direct, and lexicographic-as well as all maximal atoms of the Cartesian, strong and lexicographic product, while we only partially describe maximal atoms of direct products. Typically, a product has no clique separator and so the product is a maximal atom.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Some results on the Gaussian Markov Random Field construction problem based on the use of invariant subgraphs;TEST;2022-02-24

2. Helly and exchange numbers of geodesic and Steiner convexities in lexicographic product of graphs;Discrete Mathematics, Algorithms and Applications;2015-12

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