Fuzzy incidence graphs

John N. Mordeson; Sunil Mathew; Davender S. Malik

doi:10.1007/978-3-319-76454-2_3

Fuzzy incidence graphs

John N. Mordeson, Sunil Mathew, Davender S. Malik

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Chapter

2 Scopus citations

Abstract

We introduce the notion of the degree of incidence of a vertex and an edge in a fuzzy graph in fuzzy graph theory. We concentrate on incidence, where the edge is adjacent to the vertex. We determine results concerning bridges, cutvertices, cutpairs, fuzzy incidence paths, fuzzy incidence tree for fuzzy incidence graphs. In (Dinesh, Ph.D. thesis, Kannur University, Kerala, India, [4]; Dinesh, Adv Fuzzy Sets Syst, 21:33–48, 2016, [5]), Dinesh introduced the notion of the degree of incidence of a vertex and an edge in fuzzy graph theory. This notion seem to have potential use in a variety of areas involving networks, Mordeson (Adv Fuzzy Sets Syst, 22:121–133, 2016, [12]).

Original language	English (US)
Title of host publication	Studies in Fuzziness and Soft Computing
Publisher	Springer Verlag
Pages	87-137
Number of pages	51
DOIs	https://doi.org/10.1007/978-3-319-76454-2_3
Publication status	Published - Jan 1 2018

Publication series

Name	Studies in Fuzziness and Soft Computing
Volume	365
ISSN (Print)	1434-9922

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All Science Journal Classification (ASJC) codes

Computer Science (miscellaneous)
Computational Mathematics

Cite this

Mordeson, J. N., Mathew, S., & Malik, D. S. (2018). Fuzzy incidence graphs. In Studies in Fuzziness and Soft Computing (pp. 87-137). (Studies in Fuzziness and Soft Computing; Vol. 365). Springer Verlag. https://doi.org/10.1007/978-3-319-76454-2_3

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Access to Document

10.1007/978-3-319-76454-2_3