Submit Your Paper
  1. Home
  2. Journals
  3. International Journal of Neutrosophic Science

International Journal of Neutrosophic Science

Journal DOI

https://doi.org/10.54216/IJNS

Submit Your Paper

2690-6805ISSN (Online) 2692-6148ISSN (Print)
Submit Your Paper

Journal Menu

Homepage Journal Overview Editorial Board Submitting Articles Indexing & Abstracting

Journal Volumes

International Journal of Neutrosophic Science

Volume 16 , Issue 1 , PP: 16-27, 2021 | Cite this article as | XML | Html | PDF | Full Length Article

More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs

Aparna V 1 * , Mohanapriya N 2 , Broumi Said 3

  • 1 PG and Research Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641 029, Tamil Nadu, India - (aparnav18794@gmail.com)
  • 2 PG and Research Department of Mathematics, Kongunadu Arts and Science College, Coimbatore-641 029, Tamil Nadu, India - (phdmohana@gmail.com)
  • 3 Laboratory of Information Processing, Faculty of Science Ben M’Sik, University Hassan II, Casablanca, Morocco - (broumisaid78@gmail.com)

    • Doi: https://doi.org/10.54216/IJNS.160102

    Received: June 07, 2021 Accepted: October 19, 2021
    Abstract

    The notion of neutrosophic sets facilitates the analysis of values that are unclear or indeterminate. In thispaper, we discuss the single valued neutrosophic R-dynamic vertex coloring of Cartesian product of SVNG’sand join of SVNG’s. Further we have described the concept of single valued neutrosophic R-dynamic edgecoloring and provided some examples and theorems.

    Keywords :

    Single Valued Neutrosophic Graph , Single Valued Neutrosophic Vertex Coloring , Single Valued  , Neutrosophic R-dynamic Vertex Coloring , Single Valued Neutrosophic Edge Coloring , Single Valued Neutrosophic  , R-dynamic Edge Coloring

    References

    [1] M. Akram, S. Siddique and B. Davvaz, ”New concepts in neutrosophic graphs with application”, Journal of Applied Mathematics and Computing, 57, pp.279-302, 2018.

    [2] M. Akram and S. Shahzadi, ”Neutrosophic soft graphs with application”, Journal of Intelligent and FuzzySystems, 32(1), pp.841-858, 2017.

    [3] M. Akram and S. Shahzadi, ”Operations on single-valued neutrosophic graphs”, Journal of UncertainSystems, 11, pp.1-26, 2016.

    [4] Anjaly Kishore and M. S. Sunitha, ”Strong chromatic number of fuzzy graphs, Annals of Pure and Applied Mathematics, 7(2), pp.52-60, 2014.

    [5] V. Aparna, N. Mohanapriya and Said Broumi, ”Single Valued Neutrosophic R-dynamic Vertex Coloring of graphs”(Accepted).

    [6] Arindam Dey and Anita Pal, ”Vertex Coloring of a Fuzzy Graph using Alpa Cut”, International Journal of Management, IT and Engineering, 2(8), pp.340-352, 2012.

    [7] K. T. Atanassov, ”Intuitionistic fuzzy sets”, Fuzzy sets and systems, 20, pp.87-96, 1986.

    [8] S. Broumi, M. Talea, M. Bakali and F. Smarandache, ”Single-valued neutrosophic graphs”, Journal of New Theory, 10, pp.86-101, 2016.

    [9] S. Broumi, M. Talea, F. Smarandache and M. Bakali, ”Single valued neutrosophic graphs: Degree, Orderand Size”, IEEE International Conference on Fuzzy Systems (FUZZ), pp.2444-2451, 2016.

    [10] Changiz Eslahchi and B. N. Onagh, ”Vertex strength of fuzzy graphs”, International Journal of Mathematics and Mathematical Sciences, pp.1-9, 2005.

    [11] R. Dhavaseelan, R. Vikramaprasad and V. Krishnaraj, ”Certain types of neutrosophic graphs”, International Journal of Mathematical Sciences and Applications, 5(2), pp.333-339, 2015.

    [12] S. Ismail Mohideen and M. A. Rifayathali, ”Coloring of Intuitionistic fuzzy graph using (α, β)-cuts”,International Research Journal of Mathematical Engineering and IT, 2, pp.14-26, 2015.

    [13] S. Lavanya and R. Sattanathan, ”Fuzzy total coloring of fuzzy graph”, International Journal of InformationTechnology and Knowledge Management, 2, pp.37-39, 2009.

    [14] B. Montgomery, ”Dynamic coloring of graphs”, ProQuest LLC, Ann Arbor, MI, Ph.D Thesis, West Virginia University, 2001.

    [15] M. A. Rifayathali, A. Prasanna and S. Ismail Mohideen, ”Strong intuitionistic fuzzy graph coloring”,International Journal of Latest Engineering Research and Applications, 2, pp.163-169, 2017.

    [16] A. Rohini, M. Venkatachalam, S. Broumi and F. Smarandache, ”Single Valued Neutrosophic Coloring”,Neutrosophic Sets and Systems, 28, pp.13-22, 2019.

    [17] A. Rohini, M. Venkatachalam, Dafik, S. Broumi and F. Smarandache, ”Operations of Single ValuedNeutrosophic Coloring”, Neutrosophic Sets and Systems, 31, pp.172-178, 2020.

    [18] A. Rohini, M. Venkatachalam, Dafik, S. Broumi and F. Smarandache, ”Single Valued NeutrosophicIrregular Vertex Coloring”, Acta Electrotechnica, 61, pp.56-60, 2020.

    [19] A. Rosenfeld, ”Fuzzy graphs”, Fuzzy sets and their applications, Academic Press, New York, 1975.

    [20] F. Smarandache, ”Neutrosophy: Neutrosophic Probability, Set and logic”, Ann Arbor, Michigan, USA, 105, 2002.

    [21] Susana Munoz, M. Teresa Ortuno, Javier Ramirez and Javier Yanez, ”Coloring fuzzy graphs”, Omega,

    33(3), pp.211-221, 2005.

    [22] H. Wang, F. Smarandache, Y. Zhang and R. Sunderraman, ”Single-valued neutrosophic sets”, MultisspaceMultiscriot, 4, pp.410-413, 2010.

    [23] L. A. Zadeh, ”Fuzzy sets”, Information Control, 8, pp.338-353, 1965.

    Cite This Article As :
    V, Aparna. , N, Mohanapriya. , Said, Broumi. More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs. International Journal of Neutrosophic Science, vol. , no. , 2021, pp. 16-27. DOI: https://doi.org/10.54216/IJNS.160102
    V, A. N, M. Said, B. (2021). More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs. International Journal of Neutrosophic Science, (), 16-27. DOI: https://doi.org/10.54216/IJNS.160102
    V, Aparna. N, Mohanapriya. Said, Broumi. More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs. International Journal of Neutrosophic Science , no. (2021): 16-27. DOI: https://doi.org/10.54216/IJNS.160102
    V, A. , N, M. , Said, B. (2021) . More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs. International Journal of Neutrosophic Science , () , 16-27 . DOI: https://doi.org/10.54216/IJNS.160102
    V A. , N M. , Said B. [2021]. More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs. International Journal of Neutrosophic Science. (): 16-27. DOI: https://doi.org/10.54216/IJNS.160102
    V, A. N, M. Said, B. "More on Single Valued Neutrosophic R-dynamic Vertex Coloring and R-dynamic Edge Coloring of graphs," International Journal of Neutrosophic Science, vol. , no. , pp. 16-27, 2021. DOI: https://doi.org/10.54216/IJNS.160102

    Article Statistics

    View
    57527
    Download
    1427

    Download