Fuzzy incidence graphs

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

Research output: Chapter in Book/Report/Conference proceedingChapter

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 languageEnglish (US)
Title of host publicationStudies in Fuzziness and Soft Computing
PublisherSpringer Verlag
Pages87-137
Number of pages51
DOIs
StatePublished - Jan 1 2018

Publication series

NameStudies in Fuzziness and Soft Computing
Volume365
ISSN (Print)1434-9922

All Science Journal Classification (ASJC) codes

  • Computer Science (miscellaneous)
  • Computational Mathematics

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    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