Fair Restrained Dominating Set in the Corona of Graphs

  • Debie Honey P. Galleros
  • Enrico L. Enriquez
Keywords: Fair Dominating Set, Restrained Dominating Set, Fair Restrained Dominating Set, Corona, Cartesian Product

Abstract

In this paper, we give the characterization of a fair restrained dominating set in the corona of two nontrivial connected graphs and give some important results.

Downloads

Download data is not yet available.

References

G. Chartrand & P. Zhang. (2012). A first course in graph theory. New York: Dover Publication, Inc.

O. Ore. (1962). Theory of graphs. American Mathematical Society Colloquium Publications, 38. (American Mathematical Society, Providence, RI).

E.L. Enriquez & S.R. Canoy, Jr. (2015). Secure convex domination in a graph. International Journal of Mathematical Analysis, 9(7), 317-325.

E.L. Enriquez & S.R. Canoy, Jr. (2015). Secure convex dominating sets in products of graphs. Applied Mathematical Sciences, 9(56), 2769-2777.

D.P. Salve & E.L. Enriquez. (2016). Inverse perfect domination in the composition and cartesian product of graphs. Global Journal of Pure and Applied Mathematics, 2(1), 1-10.

M.P. Baldado, Jr. & E.L. Enriquez. (2017). Super secure domination in graphs. International Journal of Mathematical Archive, 8(12), 145-149.

C. M. Loquias, E. L. Enriquez, & J. Dayap. (2017). Inverse clique domination in graphs. Recoletos Multidisciplinary Research Journal, 4(2), 23-34.

E.L. Enriquez & E.M. Kiunisala. (2016). Inverse secure domination in graphs. Global Journal of Pure and Applied Mathematics, 12(1), 147-155.

E.L. Enriquez & S.R. Canoy, Jr. (2015). On a variant of convex domination in a graph. International Journal of Mathematical Analysis, 9(32), 1585-1592.

E.M. Kiunisala & E.L. Enriquez. (2016). Clique secure domination in graphs. Global Journal of Pure and Applied Mathematics, 12(3), 2075-2084.

E.L. Enriquez. (2015). Secure convex dominating sets in corona of graphs. Applied Mathematical Sciences, 9(120), 5961-5967.

J.A. Dayap & Enriquez. (2020). Outer-convex domination in graphs. Discrete Mathematics, Algorithms and Applications, 12(01), 2050008. Available at: https://doi.org/10.1142/S1793830920500081

Caro, Y., Hansberg, A., & Henning, M. (2011). Fair domination in graphs. University of Haifa, pp. 1-7.

E.L. Enriquez. (2020). Fair restrained domination in graphs. International Journal of Mathematics Trends and Technology, 66(1), 229-235.

E.L. Enriquez. (2020). Fair secure domination in graphs. International Journal of Mathematics Trends and Technology, 66(2), 49-57.

E.L. Enriquez. (2019). Super fair dominating set in graphs. Journal of Global Research in Mathematical Archives, 6(2), 8-14.

E.L. Enriquez & G.T. Gemina. (2020). Super fair domination in the corona and lexicographic product of graphs. International Journal of Mathematics Trends and Technology, 66(4), 203-210.

G.T. Gemina & E.L. Enriquez. (2020). Super fair dominating set in the cartesian product of graphs. International Journal of Engineering and Management Research, 10(3), 7-11.

J.A. Telle & A. Proskurowski. (1997). Algorithms for vertex partitioning problems on partial-k trees. SIAM J. Discrete Mathematics, 10, 529-550.

C.M. Loquias & E.L. Enriquez. (2016). On secure convex and restrained convex domination in graphs. International Journal of Applied Engineering Research, 11(7), 4707-4710.

E.L. Enriquez & S.R. Canoy, Jr. (2015). Restrained convex dominating sets in the corona and the products of graphs. Applied Mathematical Sciences, 9(78), 3867-3873.

E.L. Enriquez. (2017). Secure restrained convex domination in graphs. International Journal of Mathematical Archive, 8(7), 1-5.

E.L. Enriquez. (2017). On restrained clique domination in graphs. Journal of Global Research in Mathematical Archives, 4(12), 73-77.

E.L. Enriquez. (2018). Super restrained domination in the corona of graphs. International Journal of Latest Engineering Research and Applications, 3(5), 1-6.

E.M. Kiunisala & E.L. Enriquez. (2016). Inverse secure restrained domination in the join and corona of graphs. International Journal of Applied Engineering Research, 11(9), 6676-6679.

T.J. Punzalan & E.L. Enriquez. (2016). Inverse restrained domination in graphs. Global Journal of Pure and Applied Mathematics, 3, 1-6.

R.C. Alota & E.L. Enriquez. (2016). On disjoint restrained domination in graphs. Global Journal of Pure and Applied Mathematics, 12(3), 2385-2394.

Published
2020-06-30
How to Cite
Debie Honey P. Galleros, & Enrico L. Enriquez. (2020). Fair Restrained Dominating Set in the Corona of Graphs. International Journal of Engineering and Management Research, 10(3), 110-114. https://doi.org/10.31033/ijemr.10.3.17
Section
Articles