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Published in:
Strengthening and Weakening Members of a Network Read chapter Read first chapter

2018 | OriginalPaper | Chapter

3. Fuzzy Incidence Graphs

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

Published in: Fuzzy Graph Theory with Applications to Human Trafficking

Publisher: Springer International Publishing

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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]).

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previous chapter Domination in Fuzzy Graphs
next chapter Networks
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Metadata
Title
Fuzzy Incidence Graphs
Authors
John N. Mordeson
Sunil Mathew
Davender S. Malik
Copyright Year
2018
Book
Fuzzy Graph Theory with Applications to Human Trafficking

Print ISBN: 978-3-319-76453-5

Electronic ISBN: 978-3-319-76454-2

Copyright Year: 2018

DOI
https://doi.org/10.1007/978-3-319-76454-2_3

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