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AN ALGEBRAIC METHOD FOR COMPUTING SZEGED INDEX OF TC4C8(R/S) NANOTORI

Али Реза Ашрафи, Shahram Yousefi

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Abstract

Let G be a molecular graph and e be an edge of g. Define N1(e) to be the number of vertices of G lying closer to one end of e and N2(e) be the number of vertices of G lying closer to the other end of e. Then the Szeged index of G, Sz(G), is defined as the sum of N1(e)N2(e) over all edges of G. In this paper, an algebraic method for computing Szeged index of a molecular graph is presented. We apply this method to compute the Szeged index of TUC4C8(R/S) nanotori.

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What this paper is about

Let G be a molecular graph and e be an edge of g. Define N1(e) to be the number of vertices of G lying closer to one end of e and N2(e) be the number of vertices of G lying closer to the other end of e. Then the Szeged index of G, Sz(G), is defined as the sum of N1(e)N2(e) over all edges of G. In this paper, an algebraic method for computing Szeged index of a molecular graph is presented. We apply this method to compute the Szeged index of TUC4C8(R/S) nanotori.

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Available abstract

Let G be a molecular graph and e be an edge of g. Define N1(e) to be the number of vertices of G lying closer to one end of e and N2(e) be the number of vertices of G lying closer to the other end of e. Then the Szeged index of G, Sz(G), is defined as the sum of N1(e)N2(e) over all edges of G. In this paper, an algebraic method for computing Szeged index of a molecular graph is presented. We apply this method to compute the Szeged index of TUC4C8(R/S) nanotori.

Key concepts: Molecular graph, Algebraic number, Combinatorics, Graph, Mathematics, Algebraic properties, Index (typography), Discrete mathematics

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