MORE ON EDGE HYPER WIENER INDEX OF GRAPHS

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ALHEVAZ a.; BAGHIPUR M.

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Journal: JOURNAL OF ALGEBRAIC SYSTEMS Year:2017 | Volume:4 | Issue:2 Page(s): 135-153

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Information Journal Paper

Title

MORE ON EDGE HYPER WIENER INDEX OF GRAPHS

Author(s)

ALHEVAZ a. | BAGHIPUR M. | Issue Writer Certificate

Keywords

Distance

Edge-hyper Wiener index

Line graph

Join

Gutman index

Con-nectivity

Edge-transitive graph

Abstract

Let G = (V (G); E(G)) be a simple connected graph with vertex set V (G) and edge set E(G). The ( rst) Edge-hyper Wiener index of the graph G is de ned as: WWe(G) = Σ ff; gg E(G) (de(f; gjG) + d2 e(f; gjG)) = 1 2 Σ f2E(G) (de(fjG) + d2 e (fjG)); where de(f; gjG) denotes the Distance between the edges f = xy and g = uv in E(G) and de(fjG) = Σ g2E(G) de(f; gjG). In this pa-per, we use a method, which applies group theory to graph theory, to improving mathematically computation of the ( rst) Edge-hyper Wiener index in certain classes of graphs. We give also upper and lower bounds for the ( rst) Edge-hyper Wiener index of a graph in terms of its size and Gutman index. Our aim in last section is to investigate products of two or more graphs, and compute the second Edge-hyper Wiener index of the some classes of graphs.

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APA: Copy

ALHEVAZ, a., & BAGHIPUR, M.. (2017). MORE ON EDGE HYPER WIENER INDEX OF GRAPHS. JOURNAL OF ALGEBRAIC SYSTEMS, 4(2 ), 135-153. SID. https://sid.ir/paper/268344/en

Vancouver: Copy

ALHEVAZ a., BAGHIPUR M.. MORE ON EDGE HYPER WIENER INDEX OF GRAPHS. JOURNAL OF ALGEBRAIC SYSTEMS[Internet]. 2017;4(2 ):135-153. Available from: https://sid.ir/paper/268344/en

IEEE: Copy

a. ALHEVAZ, and M. BAGHIPUR, “MORE ON EDGE HYPER WIENER INDEX OF GRAPHS,” JOURNAL OF ALGEBRAIC SYSTEMS, vol. 4, no. 2 , pp. 135–153, 2017, [Online]. Available: https://sid.ir/paper/268344/en

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