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