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Information Journal Paper

Title

AN ALEXANDROFF TOPOLOGY ON GRAPHS

Pages

  647-662

Abstract

 Let G = (V, E) be a LOCALLY FINITE GRAPH, i.e. a graph in which every vertex has finitely many adjacent vertices. In this paper, we associate a topology to G, called graphic topology of G and we show that it is an ALEXANDRO TOPOLOGY, i.e. a topology in which intersection of each family of open sets is open. Then we investigate some properties of this topology. Our motivation is to give an elementary step toward investigation of some properties of LOCALLY FINITE GRAPHs by their corresponding topology which we introduce in this paper.

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    APA: Copy

    JAFARIAN AMIRI, S.M., JAFARZADEH, A., & KHATIBZADEH, H.. (2013). AN ALEXANDROFF TOPOLOGY ON GRAPHS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 39(4), 647-662. SID. https://sid.ir/paper/644481/en

    Vancouver: Copy

    JAFARIAN AMIRI S.M., JAFARZADEH A., KHATIBZADEH H.. AN ALEXANDROFF TOPOLOGY ON GRAPHS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2013;39(4):647-662. Available from: https://sid.ir/paper/644481/en

    IEEE: Copy

    S.M. JAFARIAN AMIRI, A. JAFARZADEH, and H. KHATIBZADEH, “AN ALEXANDROFF TOPOLOGY ON GRAPHS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 39, no. 4, pp. 647–662, 2013, [Online]. Available: https://sid.ir/paper/644481/en

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