The highly \(D_2\) – distance of irregular labeling fuzzy graphs on some special graphs

Downloads

DOI:

https://doi.org/10.26637/MJM0804/0177

Abstract

This paper states a new concept of highly \(D_2\)-distance of irregular labeling fuzzy graphs and highly totally \(D_2\) -distance of irregular labeling fuzzy graphs with a path on four vertices, Barbell graph and a cycle of length \(\geqslant 4\). Some properties related to neighbourly totally \(D_2\)-distance of irregular labeling fuzzy graphs, highly totally \(D_2\) -distance of irregular labeling fuzzy graphs and product fuzzy graphs are discussed with some special graphs. In addition, some more properties and examples of these graphs are studied. The highly \(D_2\)-distance of irregular labeling fuzzy graphs and neighbourly \(D_2\)-distance of irregular labeling fuzzy graphs are observed and viewed for highly totally \(D_2\)-distance of irregular labeling fuzzy graphs and neighbourly totally \(D_2\)-distance of irregular labeling fuzzy graphs.

Keywords:

Barbell graph and a cycle of length ⩾ 4, Highly \(D_2\) –distance of irregular labeling fuzzy graphs, highly totally \(D_2\) –distance of irregular labeling fuzzy graph, neighbourly totally \(D_2\) –distance of irregular labeling fuzzy graphs , neighbourly \(D_2\) –distance of irregular labeling fuzzy graphs

Mathematics Subject Classification:

Mathematics
  • R. Suja Kumari Department of Mathematics, Scott Christian College, Nagercoil-629003, Kanyakumari District, Tamil Nadu, India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti-Tirunelveli-627012.
  • K. Chithamparathanu Pillai Department of Mathematics, Lekshmipuram College, Neyyoor, Kanyakumari District, Tamil Nadu, India. Affiliated to Manonmaniam Sundaranar University, Abishekapatti-Tirunelveli-627012.
  • Pages: 2333-2336
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

Anuj Kumar, Pradhan . P , : Some properties of fuzzy distance two labeling graph, International Journal of computer sciences and Engineering, Vol -7, Issue - 5, May $-2019$. DOI: https://doi.org/10.26438/ijcse/v7i5.769775

Azriel Rosenfeld . A, FuzZy Graphs , in : ZADEH . L .A, Fu . K . S, Shimura .M (EDs) ,: Fuzzy sets and their Applications, Academic press, New York,(1975 ), pp .77 $-95$. DOI: https://doi.org/10.1016/B978-0-12-775260-0.50008-6

NagoorGani . A, Latha . S . R ,: On Irregular Fuzzy Graphs, Applied Mathematics Sciences, Vol .6, 2012, no. $11,517-523$.

NAGOOR GANI . A, RADHA . K, : On regular Fuzzy Graphs, Journal of Physical Sciences, Vol . 12, 2008, 33 - 40.

Ravi Narayanan .S, SanthiMaheswari . N . R, : Highly Totally Irregular Fuzzy Graphs, J .Comp and Math. Sci. $mathrm{Vol}-4(5), 445-449$ (2013).

Sekar. C, SanthiMaheswari . N . R, : On $(2, K)-$ Regular and totally $(2, K)$ - Regular Fuzzy Graphs, International Journal of Mathematics and Soft Computing, Vol.4, No.2 (2014), 59 - 69. DOI: https://doi.org/10.26708/IJMSC.2014.2.4.07

SuJaKumARI .R, Chithamparathanupillai . K, : The highly $mathrm{D}_2$-distance of irregular labelling fuzzy graphs, communicated.

  • NA

Metrics

Metrics Loading ...

Published

01-10-2020

How to Cite

R. Suja Kumari, and K. Chithamparathanu Pillai. “The Highly \(D_2\) – Distance of Irregular Labeling Fuzzy Graphs on Some Special Graphs”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 2333-6, doi:10.26637/MJM0804/0177.

Issue

Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

Section

Articles

License

Copyright (c) 2020 MJM

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Crossref
Scopus
Google Scholar
Europe PMC