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Information Journal Paper

Title

CACTI WITH EXTREMAL PI INDEX

Pages

  1-8

Abstract

 The vertex PI INDEX PI (G) = SxyÎE (G) [nxy (x) + nxy (y)] is a DISTANCE-based molecular structure descriptor, where nxy (x) denotes the number of vertices which are closer to the vertex x than to the vertex y and which has been the considerable research in computational chemistry dating back to Harold Wiener in 1947. A connected graph is a cactus if any two of its cycles have at most one common vertex. In this paper, we completely determine the extremal graphs with the greatest and smallest vertex PI indices mong all CACTI with a fixed number of vertices. As a consequence, we obtain the sharp bounds with corresponding extremal CACTI and extend a known result.

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    APA: Copy

    WANG, CHUNXIANG, WANG, SHAOHUI, & WEI, BING. (2016). CACTI WITH EXTREMAL PI INDEX. TRANSACTIONS ON COMBINATORICS, 5(4), 1-8. SID. https://sid.ir/paper/696315/en

    Vancouver: Copy

    WANG CHUNXIANG, WANG SHAOHUI, WEI BING. CACTI WITH EXTREMAL PI INDEX. TRANSACTIONS ON COMBINATORICS[Internet]. 2016;5(4):1-8. Available from: https://sid.ir/paper/696315/en

    IEEE: Copy

    CHUNXIANG WANG, SHAOHUI WANG, and BING WEI, “CACTI WITH EXTREMAL PI INDEX,” TRANSACTIONS ON COMBINATORICS, vol. 5, no. 4, pp. 1–8, 2016, [Online]. Available: https://sid.ir/paper/696315/en

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