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 | |
| State | Published - Jan 1 2018 |
Publication series
| Name | Studies in Fuzziness and Soft Computing |
|---|---|
| Volume | 363 |
| ISSN (Print) | 1434-9922 |
All Science Journal Classification (ASJC) codes
- Computer Science (miscellaneous)
- Computational Mathematics
Fingerprint Dive into the research topics of 'Connectivity in fuzzy graphs'. Together they form a unique fingerprint.
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