Minimum inclusive degree sum dominating set

Downloads

DOI:

https://doi.org/10.26637/MJM0804/0091

Abstract

In this paper we introduce the inclusive degree of a vertex and minimum inclusive degree sum dominating set of a graph. Moreover, we determine minimum inclusive degree sum dominating set of some special types of graphs and some operations on graphs.

Keywords:

Inclusive degree of a vertex, Minimum inclusive degree sum dominating set, Minimum inclusive degree sum of dominating set.

Mathematics Subject Classification:

Mathematics
  • K. Saleel Mohammed Department of Mathematics, University of Calicut, Malappuram-673635, Kerala, India.
  • Raji Pilakkat Department of Mathematics, University of Calicut, Malappuram-673635, Kerala, India.
  • Pages: 1885-1889
  • Date Published: 01-10-2020
  • Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

F. Harary, Graph Theory, Adison-Wesley, 2010.

S. Alikhani, Dominating Sets and Domination Polynomials of Graphs, Ph.D. Thesis, 2009

  • NA

Metrics

Metrics Loading ...

Published

01-10-2020

How to Cite

K. Saleel Mohammed, and Raji Pilakkat. “Minimum Inclusive Degree Sum Dominating Set”. Malaya Journal of Matematik, vol. 8, no. 04, Oct. 2020, pp. 1885-9, doi:10.26637/MJM0804/0091.