| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 426036 | Fuzzy Information and Engineering | 2015 | 11 Pages |
Abstract
The 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. Cyclic vertex connectivity and cyclic edge connectivity of fuzzy graphs are also discussed.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
