FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES

Volume: 10 Number: 2 March 1, 2020
  • R. Sumathi
  • R. Sujhata
  • R. Sundareswaran
EN

FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES

Abstract

A set D of vertices of a fuzzy graph G is a Perfect Dominating set if every vertex not in D is adjacent to exactly one vertex in D. In this paper, we discuss the concept of equitable excellent fuzzy graph, fuzzy equitable excellent dominating set γ ef . We introduce fuzzy perfect equitable excellent dominating set γp G - set and then Construction of perfect equitable excellent fuzzy tree is discussed.

Keywords

References

  1. Bhutani, K. R. and Rosenfeld, A., (2003), Strong arcs in fuzzy graph, Information sciences, 152, pp.319-322.
  2. Dharmalingam, K. M., Rani, M. (2014), Equitable Domination in Fuzzy Graphs, International Journal of Pure and Applied Mathematics, Volume: 94, No: 5, pp. 661-667.
  3. Fricke, G. H., Haynes, T. W., Hedetniemi, S. S., Laskar, R. C., (2002), Excellent trees, Bulletin of ICA, 34, pp.27-38.
  4. Haynes, T. W., Hedetniemi, S. T., Slater, P. J., (1998), Domination in Graphs: Advanced Topics, Marcel Dekker, New York.
  5. Mynhardt, C. M, (1999), Vertices contained in every minimum domination set of a tree, J. Graph Theory, 31, pp. 163–177.
  6. Mark Caay, Esperanza, B., Arugay, (2017), Perfect Equitable Domination of Some Graphs, Interna- tional Mathematical Forum, 12, (18), pp. 891 - 900.
  7. Sharada, B., (2012), Perfect Domination Excellent Trees, International J. Math. Combin., 2, pp.76-80.
  8. Somasundaram, A., Somasundaram, S., (1998), Domination in Fuzzy graphs-I, Pattern Recognition letters, 19, pp.787-791.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

R. Sumathi This is me

R. Sujhata This is me

R. Sundareswaran This is me

Publication Date

March 1, 2020

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2020 Volume: 10 Number: 2

APA
Sumathi, R., Sujhata, R., & Sundareswaran, R. (2020). FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES. TWMS Journal of Applied and Engineering Mathematics, 10(2), 512-520. https://izlik.org/JA77JE52HM
AMA
1.Sumathi R, Sujhata R, Sundareswaran R. FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES. JAEM. 2020;10(2):512-520. https://izlik.org/JA77JE52HM
Chicago
Sumathi, R., R. Sujhata, and R. Sundareswaran. 2020. “FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES”. TWMS Journal of Applied and Engineering Mathematics 10 (2): 512-20. https://izlik.org/JA77JE52HM.
EndNote
Sumathi R, Sujhata R, Sundareswaran R (March 1, 2020) FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES. TWMS Journal of Applied and Engineering Mathematics 10 2 512–520.
IEEE
[1]R. Sumathi, R. Sujhata, and R. Sundareswaran, “FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES”, JAEM, vol. 10, no. 2, pp. 512–520, Mar. 2020, [Online]. Available: https://izlik.org/JA77JE52HM
ISNAD
Sumathi, R. - Sujhata, R. - Sundareswaran, R. “FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES”. TWMS Journal of Applied and Engineering Mathematics 10/2 (March 1, 2020): 512-520. https://izlik.org/JA77JE52HM.
JAMA
1.Sumathi R, Sujhata R, Sundareswaran R. FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES. JAEM. 2020;10:512–520.
MLA
Sumathi, R., et al. “FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES”. TWMS Journal of Applied and Engineering Mathematics, vol. 10, no. 2, Mar. 2020, pp. 512-20, https://izlik.org/JA77JE52HM.
Vancouver
1.R. Sumathi, R. Sujhata, R. Sundareswaran. FUZZY PERFECT EQUITABLE DOMINATION EXCELLENT TREES. JAEM [Internet]. 2020 Mar. 1;10(2):512-20. Available from: https://izlik.org/JA77JE52HM