More on blocks in fuzzy graphs

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

doi:10.1007/978-3-319-71407-3_4

More on blocks in fuzzy graphs

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

Department of Mathematics

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

1 Scopus citations

Abstract

As defined in Chap. 2, a fuzzy graph without fuzzy cutvertices is called a block (nonseparable). Rosenfeld introduced this concept in 1975. In contrast to the classical concept of blocks in graphs, the study of blocks in fuzzy graphs is challenging due to the complexity of cutvertices. Note that cutvertices of a fuzzy graph are those vertices which reduce the strength of connectedness between some pair of vertices on its removal from the fuzzy graph rather than the total disconnection of the fuzzy graph. In this chapter, we concentrate on blocks of fuzzy graphs. This work is from Anjali and Mathew, J Fuzzy Math, 23(4), 907–916 (2015), [28], Anjali and Mathew, J Intell Fuzzy Syst 28, 1659–1665 (2015), [29], Anjali and Mathew, Transitive blocks in fuzzy graphs (2017), [30].

Original language	English (US)
Title of host publication	Studies in Fuzziness and Soft Computing
Publisher	Springer Verlag
Pages	127-153
Number of pages	27
Volume	363
DOIs	https://doi.org/10.1007/978-3-319-71407-3_4
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). More on blocks in fuzzy graphs. In Studies in Fuzziness and Soft Computing (Vol. 363, pp. 127-153). (Studies in Fuzziness and Soft Computing; Vol. 363). Springer Verlag. https://doi.org/10.1007/978-3-319-71407-3_4

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10.1007/978-3-319-71407-3_4