Connectivity in fuzzy graphs

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

doi:10.1007/978-3-319-71407-3_3

Connectivity in fuzzy graphs

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

Department of Mathematics

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

Abstract

In graph theory, edge analysis is not very necessary because all edges have the same weight one. But in fuzzy graphs, the strength of an edge is a real number in [0, 1] and hence the properties of edges and paths may vary significantly from that of graphs. So it is important to identify and study the nature of edges of fuzzy graphs. In Chap. 2, we have discussed the strength of connectedness between two vertices x and y in a fuzzy graph G. In this chapter, a detailed analysis of the structure of fuzzy graphs based on the strength of connectedness will be made.

Original language	English (US)
Title of host publication	Studies in Fuzziness and Soft Computing
Publisher	Springer Verlag
Pages	85-125
Number of pages	41
Volume	363
DOIs	https://doi.org/10.1007/978-3-319-71407-3_3
Publication status	Published - Jan 1 2018

Publication series

Name	Studies in Fuzziness and Soft Computing
Volume	363
ISSN (Print)	1434-9922

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All Science Journal Classification (ASJC) codes

Computer Science (miscellaneous)
Computational Mathematics

Cite this

Mathew, S., Mordeson, J. N., & Malik, D. S. (2018). Connectivity in fuzzy graphs. In Studies in Fuzziness and Soft Computing (Vol. 363, pp. 85-125). (Studies in Fuzziness and Soft Computing; Vol. 363). Springer Verlag. https://doi.org/10.1007/978-3-319-71407-3_3

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Access to Document

10.1007/978-3-319-71407-3_3