Generalized Domination and Cardinality in Hop Fuzzy Graphs

Authors

  • R. Divya Mary Department of Mathematics St. Joseph’s College of Arts & Science (Autonomous) Affiliated to Annamalai University Cuddalore, Tamil Nadu, India
  • J. Jon Arockiaraj Department of Mathematics St. Joseph’s College of Arts & Science (Autonomous) Affiliated to Annamalai University Cuddalore, Tamil Nadu, India
  • A. Venkatesan Department of Mathematics St. Joseph’s College of Arts & Science (Autonomous) Affiliated to Annamalai University Cuddalore, Tamil Nadu, India

DOI:

https://doi.org/10.70917/ijcisim-2026-3714

Keywords:

Hop Fuzzy1Graph, Graph Cardinality, Hop Domination Number, Moser Spindle Graph, Intuitionistic Fuzzy Graph

Abstract

 This paper outlines the Hop Fuzzy Graph (HFG) as an extension of fuzzy graph models. Each vertex and edge is characterized by mem-bership, non-membership, hop membership and hop non-membership functions. The concepts of cardinality and domination are redefined in this framework. Applications to graphs such as the Moser spin-dle, cricket and Diamond graph demonstrate that hop-based analysis reduces domination size and provides a more comprehensive model structure.

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Published

2026-07-24

How to Cite

R. Divya Mary, J. Jon Arockiaraj, & A. Venkatesan. (2026). Generalized Domination and Cardinality in Hop Fuzzy Graphs. International Journal of Computer Information Systems and Industrial Management Applications, 18(10s), 1277–1287. https://doi.org/10.70917/ijcisim-2026-3714

Issue

Vol. 18 No. 10s (2026)

Section

Original Articles