Topologized Bipartite Graph

Journal Title: Asian Research Journal of Mathematics - Year 2017, Vol 4, Issue 1

Abstract

Let G be bipartite graph with V vertices and E edges. A topological space X is a topologized graph if it satisfies the following conditions: Every singleton is open or closed. ∀x∈X, ∣∂(x)∣≤2, where ∂(x) is a boundary of x. Here the topology is defined on the graph, since the space X is the union of vertices and edges. This work is extended from topologized graph to star graph (0<n≤2), Bistar, Bipartite graph, Tree, complete bipartite graph.

Authors and Affiliations

S. Vimala

Keywords

Related Articles

The Population Question in Nigeria: Models and Reliable Projections

The question of Nigeria’s actual population has remained a very sensitive one within the country because there are very obvious constitutional advantages of large populations conferred on constituent parts of the Nation....

Effect of Vertical Magnetic Field on the Onset of Double Diffusive Convection in a Horizontal Porous Layer with Concentration Based Internal Heat Source

This study considers the effects of concentration based internal heat and vertical magnetic field on the onset of double diffusive convection in a horizontal porous layer using normal mode analysis. The normal mode analy...

Simulation of Project Completion Time with Burr XII Activity Distribution

Project Evaluation and Review Technique (PERT) in conjunction with Monte Carlo simulation is no doubt a useful and an acceptable tool for the analysis of project networks. However, a common challenge in practice is the...

Modelling Sector-wise Electricity Demand in Sri Lanka: An Application of Vector Autoregressive Model

The knowledge about the current and future electricity demands is necessary and much useful in planning and decision making for giving proper electricity supply. This study aimed to identify the pattern and to model the...

The Method of Multiple Time Scales and Finite Differences Method for the van der Pol Oscillator with Small Fractional Damping

In this paper, we consider the van der Pol oscillator with small fractional damping. To construct the approximate and numerical solutions of the equation, the method of multiple time scales and finite differences method...

Download PDF file
  • EP ID EP338381
  • DOI 10.9734/ARJOM/2017/33107
  • Views 79
  • Downloads 0

How To Cite

S. Vimala (2017). Topologized Bipartite Graph. Asian Research Journal of Mathematics, 4(1), 1-10. https://europub.co.uk/articles/-A-338381