Single-Valued Neutrosophic Graph with Heptapartitioend  Structure

Hanaa fathi; M. Myvizhi; Ahmed Abdelhafeez; Mohamed Refaat Abdellah; Mohamed Eassa; Mohamed S.  Sawah; Hussam Elbehiery

Authors

Hanaa fathi College of Information Technology, Amman Arab University, Amman, Jordan
M. Myvizhi Assistant Professor, KPR Institute of Engineering and Technology, Coimbatore, Tamilnadu, India
Ahmed Abdelhafeez Computer Science Department, Faculty of Information System and Computer Science, October 6 University, Giza, 12585, Egypt; Applied Science Research Center. Applied Science Private University, Amman, Jordan
Mohamed Refaat Abdellah The Department of Computer Science, College of Information Technology, Misr University for Science and Technology, Cairo, Egypt
Mohamed Eassa Computer Science Department, Faculty of Information System and Computer Science, October 6 University, Giza, 12585, Egypt; Applied Science Research Center. Applied Science Private University, Amman, Jordan
Mohamed S. Sawah Department of Computer Science, Faculty of Information Technology, Ajloun National University P.O.43, Ajloun 26810, JORDAN
Hussam Elbehiery Computer Science Department, Faculty of Information System and Computer Science, October 6 University, Giza, 12585, Egypt

Keywords:

Neutrosophic Sets, Heptapartitioend Neutrosophic Set, Neutrosophic Graph, SVHN Graph.

Abstract

This study applies single-valued neutrosophic sets, which extend the frameworks of fuzzy and
intuitionistic fuzzy sets, to graph theory. We introduce a new category of graphs called Single-Valued
Heptapartitioned Neutrosophic Graphs (SVHNG) and investigate their characteristics through
comprehensive proofs and illustrative examples.

DOI: 10.5281/zenodo.14825936