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    Please use this identifier to cite or link to this item: http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/109359

    Authors: Azari, Mahdieh;Iranmanesh, Ali
    Keywords: Distance;Topological index;Graph polynomial;Graph operation
    Date: 2016-06
    Issue Date: 2017-01-17 09:54:47 (UTC+8)
    Publisher: 淡江大學出版中心
    Abstract: The vertex-edge Wiener index of a simple connected graph GG is defined as the sum of distances between vertices and edges of GG. The vertex-edge Wiener polynomial of GG is a generating function whose first derivative is a q−q−analog of the vertex-edge Wiener index. Two possible distances D1(u,e|G)D1(u,e|G) and D2(u,e|G)D2(u,e|G) between a vertex uu and an edge ee of GG can be considered and corresponding to them, the first and second vertex-edge Wiener indices of GG, and the first and second vertex-edge Wiener polynomials of GG are introduced. In this paper, we study the behavior of these indices and polynomials under the join and corona product of graphs. Results are applied for some classes of graphs such as suspensions, bottlenecks, and thorny graphs.
    Relation: Tamkang Journal of Mathematics 47(2), pp.163-178
    DOI: 10.5556/j.tkjm.47.2016.1824
    Appears in Collections:[淡江數學期刊] 第47卷第2期

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