Incidence cuts and connectivity in fuzzy incidence graphs

Abstract

<span class="fontstyle0">Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edge<br />relationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpected<br />flow between cities and highways can be effectively studied and controlled. Like node and edge connectivity in graphs,<br />node connectivity and arc connectivity in fuzzy incidence graphs are introduced in this article. Their relationships with<br />fuzzy connectivity parameters are discussed and results similar to Whitney's theorems are obtained. Also, the incidence<br />is used to model flows in human trafficking networks.</span> <br /><br />