Strongest Strong Cycles and $\theta$-Fuzzy Graphs

  title={Strongest Strong Cycles and \$\theta\$-Fuzzy Graphs},
  author={Sunil Mathew and M. S. Sunitha},
  journal={IEEE Transactions on Fuzzy Systems},
In this paper, new concepts are introduced to enhance the process of block identification in fuzzy graphs. Since reduction in the strength of the connectedness between two nodes occurs more frequently than total disconnection of a network, block identification in fuzzy graph networks is very important. A special type of cycle, which is called a strongest strong cycle, and a new connectivity parameter, which is called cycle connectivity, are introduced in fuzzy graphs. A subclass of fuzzy graphs… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.


Publications referenced by this paper.
Showing 1-10 of 39 references

Fuzzy graphs

  • A. Rosenfeld
  • Fuzzy Sets and Their Applications to Cognitive…
  • 1975
Highly Influential
10 Excerpts

Regular bipolar fuzzy graphs Interval - valued fuzzy line graphs

  • H. Bustince Barrenechea, B. De Baets, C. Lopez-Molina
  • Neural Comput . Appl .
  • 2012

A characterization of blocks in fuzzy graphs

  • S. Mathew, M. S. Sunitha
  • J. Fuzzy Math., vol. 19, no. 1, pp. 999–1006…
  • 2011
8 Excerpts

Construction of interval-valued fuzzy relations with application to the generation of fuzzy edge images

  • E. Barrenechea, H. Bustince, B. De Baets, C. Lopez-Molina
  • IEEE Trans. Fuzzy Syst., vol. 19, no. 5, pp. 819…
  • 2011
1 Excerpt

Similar Papers

Loading similar papers…