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Cites:

Information Journal Paper

Title

On nicely distance-balanced of folded cube graphs

Pages

  117-127

Abstract

 A nontrivial graph is called nicely distance-balanced (nicely edge distance-balanced), whenever there exist positive integers γ _V (γ _E), such that for any adjacent vertices u and v in V(Γ ), there are exactly γ _V vertices in V(Γ ) (γ _E edges in E(Γ ) that are closer to u than v, and exactly γ _V vertices in V(Γ ) (γ _E edges in E(Γ )) that are closer to v than u. In this paper, we will prove that hyper cube Q_n and the folded cube F_n are nicely distance-balanced and Q_n is also nicely edge distance-balanced. A nontrivial graph is called nicely distance-balanced (nicely edge distance-balanced), whenever there exist positive integers γ _V (γ _E), such that for any adjacent vertices u and v in V(Γ ), there are exactly γ _V vertices in V(Γ ) (γ _E edges in E(Γ ) that are closer to u than v, and exactly γ _V vertices in V(Γ ) (γ _E edges in E(Γ )) that are closer to v than u. In this paper, we will prove that hyper cube Q_n and the folded cube F_n are nicely distance-balanced and Q_n is also nicely edge distance-balanced.

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    • Cite

    APA: Copy

    Hosseini pour, Seyedeh Maryam, Rahbarnia, Freydoon, ALAEIYAN, MEHDI, & ERFANIAN, AHMAD. (2021). On nicely distance-balanced of folded cube graphs. JOURNAL OF NEW RESEARCHES IN MATHEMATICS, 7(29 ), 117-127. SID. https://sid.ir/paper/952109/en

    Vancouver: Copy

    Hosseini pour Seyedeh Maryam, Rahbarnia Freydoon, ALAEIYAN MEHDI, ERFANIAN AHMAD. On nicely distance-balanced of folded cube graphs. JOURNAL OF NEW RESEARCHES IN MATHEMATICS[Internet]. 2021;7(29 ):117-127. Available from: https://sid.ir/paper/952109/en

    IEEE: Copy

    Seyedeh Maryam Hosseini pour, Freydoon Rahbarnia, MEHDI ALAEIYAN, and AHMAD ERFANIAN, “On nicely distance-balanced of folded cube graphs,” JOURNAL OF NEW RESEARCHES IN MATHEMATICS, vol. 7, no. 29 , pp. 117–127, 2021, [Online]. Available: https://sid.ir/paper/952109/en

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