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.


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ISRP Style

Khalid Abdulkalek Abdu, Adem Kilicman, Bitopological spaces on undirected graphs, Journal of Mathematics and Computer Science, 18 (2018), no. 2, 232--241

AMA Style

Abdu Khalid Abdulkalek, Kilicman Adem, Bitopological spaces on undirected graphs. J Math Comput SCI-JM. (2018); 18(2):232--241

Chicago/Turabian Style

Abdu, Khalid Abdulkalek, Kilicman, Adem. "Bitopological spaces on undirected graphs." Journal of Mathematics and Computer Science, 18, no. 2 (2018): 232--241


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