Accessible single-valued neutrosophic graphs

This paper derived single-valued neutrosophic graphs from single-valued neutrosophic hypergraphs via strong equivalence relation. We show that any weak single-valued neutrosophic graph is a derived single-valued neutrosophic graph and any linear weak single-valued neutrosophic tree is an extendable linear single-valued neutrosophic tree.

[1]  Arsham Borumand Saeid,et al.  On derivable trees , 2019 .

[2]  W. B. Vasantha Kandasamy,et al.  Neutrosophic Graphs: A New Dimension to Graph Theory , 2015 .

[3]  Florentin Smarandache,et al.  Refined Literal Indeterminacy and the Multiplication Law of Sub-Indeterminacies , 2015 .

[4]  Shawkat Alkhazaleh,et al.  Soft Expert Sets , 2011, Adv. Decis. Sci..

[5]  Rajshekhar Sunderraman,et al.  Single Valued Neutrosophic Sets , 2010 .

[6]  Florentin Smarandache,et al.  (T, I, F)-Neutrosophic Structures , 2015 .

[7]  Florentin Smarandache,et al.  Neutrosophic set - a generalization of the intuitionistic fuzzy set , 2004, 2006 IEEE International Conference on Granular Computing.

[8]  Wieslaw A. Dudek,et al.  Intuitionistic fuzzy hypergraphs with applications , 2013, Inf. Sci..

[9]  Muhammad Akram,et al.  Single-Valued Neutrosophic Hypergraphs , 2018 .

[10]  Pabitra Kumar Maji,et al.  Neutrosophic Soft Set , 2013 .

[11]  A. Gani,et al.  On Irregular Fuzzy Graphs , 2012 .

[12]  A. Rajkumar,et al.  A Study on Miracles through Holy Bible using Neutrosophic Cognitive Maps (NCMS) , 2013 .

[13]  S. Begum.  Degree, Order and Size in Intuitionistic Fuzzy Graphs , 2010 .

[14]  F. Smarandache,et al.  SINGLE VALUED NEUTROSOPHIC GRAPHS , 2016 .

[15]  B. Davvaz,et al.  Strong Intuitionistic Fuzzy Graphs , 2012 .

[16]  Claude Berge,et al.  Graphs and Hypergraphs , 2021, Clustering.

[17]  L. A. Zadeh,et al.  A Review of: “PREFACE TO “INTRODUCTION [Agrave] LA THÉORIE DES SOUS-ENSEMBLES FLOUS” (INTRODUCTION TO THE THEORY OF FUZZY SETS) by A. Kaufmann† , 1975 .