The Domination Number of Pm X Pn

Journal Title: Journal of Advances in Mathematics and Computer Science - Year 2017, Vol 20, Issue 3

Abstract

A mixed graph GM(V, E, A) is a graph containing unoriented edges (set E) as well as oriented edges (set A), referred to as arcs. In this paper we calculate the domination number of the Cartesian product of a path Pm with directed path (mixed-grid graph ( ) for 8 ≤ m ≤ 10 and arbitrary n.

Authors and Affiliations

Ramy Shaheen, Mohammad Assaad

Keywords

Related Articles

MHD Forced Convective Flow of Micropolar Fluids Past a Moving Boundary Surface with Prescribed Heat Flux and Radiation

The forced convective boundary layer flow of electrically conducting micropolar fluids has been investigated in the presence of magnetic field applied in the normal direction of a sheet that shrinks or stretches horizont...

Common Fixed Point Theorems for Compatible and Weakly Compatible Maps Satisfying E. A. and CLRT Property in Non-Newtonian Metric Space

In this paper, we prove some results for compatible and weakly compatible maps in non-Newtonian metric spaces. We also introduce E.A. and CLRT property in the context of non-Newtonian metric space and prove the correspon...

Semilocal Convergence Newton Method Applied to Kepler Equation: New Results

The aim of this paper is to consider as a starting point the value E0 = π in the theorems of semilocal convergence of Kantorovich, Gutierrez, α−theory of Smale and the α−theory of Wang-Zhao, to compare the convergence co...

Using T2 Chart to Monitor the Quality of Ash Content in Flour Production

The quality of goods and services can be improved if data sets are collected to determine the causes of variation. In this consideration, the data sets will enable the analyst to evaluate the stability of the manufacturi...

Activity Planner Using SAP OpenUI5 Application Framework

Aims/Objectives: To design a calendar component for scheduling activities which reduces the space required for representation. Design a Gantt chart with hierarchical activities which gives better visualization and unders...

Download PDF file
  • EP ID EP322248
  • DOI 10.9734/BJMCS/2017/31051
  • Views 87
  • Downloads 0

How To Cite

Ramy Shaheen, Mohammad Assaad (2017). The Domination Number of Pm X Pn. Journal of Advances in Mathematics and Computer Science, 20(3), 1-11. https://europub.co.uk/articles/-A-322248