Incidence cuts and connectivity in fuzzy incidence graphs

Publish Year: 1398
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:

JR_IJFS-16-2_004

تاریخ نمایه سازی: 17 آبان 1400

Abstract:

Fuzzy incidence graphs can be used as models for nondeterministic interconnection networks having extra node-edgerelationships. For example, ramps in a highway system may be modeled as a fuzzy incidence graph so that unexpectedflow 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 withfuzzy connectivity parameters are discussed and results similar to Whitney’s theorems are obtained. Also, the incidenceis used to model flows in human trafficking networks.

Authors

Sunil Mathew

Assistant Professor, Department of Mathematics, NIT Calicut

John Mordeson

Creighton University

Hai-Long Yang

Shaanxi Normal University China

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