CFP last date
20 May 2024
Reseach Article

Injective Domination in Fuzzy Graphs

by Abdullah Q. AL-Mekhlafi, Mahiuob M.Q. Shubatah
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 183 - Number 35
Year of Publication: 2021
Authors: Abdullah Q. AL-Mekhlafi, Mahiuob M.Q. Shubatah
10.5120/ijca2021921730

Abdullah Q. AL-Mekhlafi, Mahiuob M.Q. Shubatah . Injective Domination in Fuzzy Graphs. International Journal of Computer Applications. 183, 35 ( Nov 2021), 1-5. DOI=10.5120/ijca2021921730

@article{ 10.5120/ijca2021921730,
author = { Abdullah Q. AL-Mekhlafi, Mahiuob M.Q. Shubatah },
title = { Injective Domination in Fuzzy Graphs },
journal = { International Journal of Computer Applications },
issue_date = { Nov 2021 },
volume = { 183 },
number = { 35 },
month = { Nov },
year = { 2021 },
issn = { 0975-8887 },
pages = { 1-5 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume183/number35/32152-2021921730/ },
doi = { 10.5120/ijca2021921730 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-07T01:18:42.377495+05:30
%A Abdullah Q. AL-Mekhlafi
%A Mahiuob M.Q. Shubatah
%T Injective Domination in Fuzzy Graphs
%J International Journal of Computer Applications
%@ 0975-8887
%V 183
%N 35
%P 1-5
%D 2021
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In this paper, the concepts of injective neighbourhood and injective domination number in fuzzy graph G was introduced and investigated and are denoted by Nin and ?in, respectively. we investigated and studied the relationship of ?in and Nin with the others parameters in fuzzy graph. Finally, we collocated Nin and ?in for some standard fuzzy graphs.

References
  1. Abdullah Q. AL-Mekhlafi, Saqr H. AL-Emrany and Mahiuob M.Q. Shubatah, Common neighbourhood and common neighbourhood domination in fuzzy graphs, Asian journal of Advanced Research and Reports, 15(1), 2020, 1-9.
  2. Alwardi A; N.D. Soner and KaramM Ebadi, On the common neighbourhood domination number; J. Comp. Math. Sci. 2(3), (2011), 547-556.
  3. Alwardi A; N.D. Soner, CN-edge domination in graphs, Vladikavkaz. Mat. Zh., 15(2), (2013), 11?17.
  4. Alwardi A; R. Rangarajan and Akram Alqesmah, On the injective domination of fuzzy graphs, Palestine Journal of Mathematics; 7(1), (2018), 202-210.
  5. Alqesmalh1 A; A. Alwardi2 and R. Rangaran3, Edge injective domination of graph, Gulf Journal of Mathematics; 5(2), (2017), 46-55.
  6. Hameh A; Ali Irnmanesh and (et al), On common neighborhood graphs, Iranian J. Math. Chem. 9 (1), (2018), 37-46.
  7. Dundar P; A. Aytac and E. Kilic; Common-neighbourhood of a graph; Bol. Soc. Paran. Mat. 35(1), (2017), 23?32.
  8. Haray F. Graph theory, Addison Wesley, Third printing, October, (1972).
  9. Kaufman A. Introduction a La Theorie des Sous- emsembles Flous, Paris, Masson etcie Editeurs, (1973).
  10. Kulli V.R. and L.S.C. Sigarkanti, Inverse domination in graphs, Nat. Acad. Sci. Ltt. 14, (1991), 473-475.
  11. Rosenfeld A. Fuzzy graphs, In. L.A. Zadeh, K.S.Fu and M. Shimura, (Eds). Fuzzy sets and their applications, Academic Press, (1975), 77-95.
  12. Somasundaram A. and S. Somasundaram, Domination in fuzzy graphs-I, Pattern Recognition Letters, 19, (1998), 787- 791.
  13. Somasundaram A. Domination in fuzzy graphs-II, Journal of Fuzzy Mathematics, 20, (2000), 281-289.
  14. Zadeh. L.A., Fuzzy Sets, Information and control, 8, 1965, 338-353.
Index Terms

Computer Science
Information Sciences

Keywords

Fuzzy graph Injective neighbourhood Injective domination number