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Connectivity Analysis of Cyclically Balanced Fuzzy Graphs

Connectivity Analysis of Cyclically Balanced Fuzzy Graphs Fuzzy Information and Engineering 7 (2015) 245–255 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2015.05.008 http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Fuzzy Information and Engineering Taylor & Francis

Connectivity Analysis of Cyclically Balanced Fuzzy Graphs

Fuzzy Information and Engineering , Volume 7 (2): 11 – Jun 1, 2015

Connectivity Analysis of Cyclically Balanced Fuzzy Graphs

Abstract

AbstractThe concepts of connectivity and cycle connectivity play an important role in fuzzy graph theory. In this article, cyclic cutvertices, cyclic bridges and cyclically balanced fuzzy graphs are discussed. It is proved that a vertex in a fuzzy graph is a cyclic cutvertex if and only if it is a common vertex of all strong cycles with maximum strength. Also a cyclic cutvertex cannot be a fuzzy endvertex in a fuzzy graph. A characterization of cyclically balanced fuzzy graphs is obtained....
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Publisher
Taylor & Francis
Copyright
© 2015 Fuzzy Information and Engineering Branch of the Operations Research Society of China. Production and hosting by Elsevier B.V. All rights reserved.
ISSN
1616-8666
eISSN
1616-8658
DOI
10.1016/j.fiae.2015.05.008
Publisher site
See Article on Publisher Site

Abstract

Fuzzy Information and Engineering 7 (2015) 245–255 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). http://dx.doi.org/10.1016/j.fiae.2015.05.008

Journal

Fuzzy Information and EngineeringTaylor & Francis

Published: Jun 1, 2015

Keywords: Fuzzy graph; Cyclic cutvertex; Cyclic bridge; Cyclically balanced fuzzy graph

References