Incidence cuts and connectivity in fuzzy incidence graphs

Document Type : Original Manuscript

Authors

1 Assistant Professor, Department of Mathematics, NIT Calicut

2 Creighton University

3 Shaanxi Normal University China

Abstract

Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edge
relationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpected
flow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,
node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships with
fuzzy connectivity parameters are discussed and results similar to Whitney’s theorems are obtained. Also, the incidence
is used to model flows in human trafficking networks.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 16, Issue 2
March and April 2019
Pages 31-43

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