Changing and Unchanging of Minus Domination in Graphs

  IJMTT-book-cover
 
International Journal of Mathematics Trends and Technology (IJMTT)
 
© 2018 by IJMTT Journal
Volume-55 Number-3
Year of Publication : 2018
Authors : Poorvi A. G, V.Sangeetha
  10.14445/22315373/IJMTT-V55P526

MLA

Poorvi A. G, V.Sangeetha "Changing and Unchanging of Minus Domination in Graphs", International Journal of Mathematics Trends and Technology (IJMTT). V55(3):200-211 March 2018. ISSN:2231-5373. www.ijmttjournal.org. Published by Seventh Sense Research Group.

Abstract
A function f : V (G ) -> { -1, 0,1} defined on the vertex set of a graph G = (V , E ) is said to be a minus dominating function if the sum of its function values over every closed neighbourhood is at least one.

Reference
[1] J. Dunbar, S. Hedetniemi, M. A. Henning, A. McRae, “Minus domination in graphs”, Discrete Mathematics, vol. 199, pp. 35-47, 1999.
[2] D. A. Mojdeh, A. N. Ghameshlou, “Domination in Jahangir Graph 2 ,m J ”, Int. J. Contemp. Math. Sciences, vol. 2, no. 24, pp. 1193- 1199,2007.
[3] H. M. Xing, Tianjin, H. L. Liu, “Minus total domination in graphs”, Czechoslovak Mathematical Journal, vol. 59, pp. 861-870, 2009.
[4] C. E. Go, S. R. Canoy, “Domination in corona and join of graphs”, International Mathematical Forum, vol. 6, no. 16, pp. 763-771, 2011.
[5] L. Kang, H. K. Kim, M. Y. Sohn, “Minus total domination in k-partite graphs”, Discrete Mathematics, vol. 227, pp. 295-300, 2004.

Keywords
Jahangir graph, sunlet graph, line graph, corona graph.