A Review on Lower Bounds for the Domination
Number

G.Geetha; A.Praveenkumari

doi:https://doi.org/10.14445/22315373/IJMTT-V44P518

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 44 | Number 2 | Year 2017 | Article Id. IJMTT-V44P518 | DOI : https://doi.org/10.14445/22315373/IJMTT-V44P518

A Review on Lower Bounds for the Domination Number

G.Geetha, A.Praveenkumari

Citation :

G.Geetha, A.Praveenkumari, "A Review on Lower Bounds for the Domination Number," International Journal of Mathematics Trends and Technology (IJMTT), vol. 44, no. 2, pp. 89-93, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V44P518

Abstract

We prove several Lower bounds on the domination number of simple connected graph. In this paper we prove that (2k+1) γk(T)≥|v|+2k-kn1 for each tree. T=(V,E) with n1 leafs, and we characterize the class of tree that satisfy the equality (2k+1) γk(T)≥|v|+2k-kn1.

Keywords

Domination, Distance domination number, Tree.

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