Bitopological spaces on undirected graphs

Authors

Khalid Abdulkalek Abdu - Department of Mathematics, University Putra Malaysia (UPM), 4300 Serdang, Selangor, Malaysia and Department of Accounting, Al-Iraqia University, Adhmia, Baghdad, Iraq
Adem Kilicman - Department of Mathematics, University Putra Malaysia (UPM), 4300 Serdang, Selangor, Malaysia

Abstract

The aim of this article is to associate a bitopological space with every locally finite graph G (a graph in which every vertex is adjacent with finite number of edges). Then some properties of this bitopological space were investigated. After that, connectedness and dense subsets were discussed. Giving a fundamental step toward studying some properties of locally finite graphs by their corresponding bitopological spaces is our motivation.

Keywords

Locally finite graph, undirected graphs, bitopological spaces

References

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