A SIMPLE APPROACH TO ORDER THE MULTIPLICATIVE ZAGREB INDICES OF CONNECTED GRAPHS

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ELIASI MEHDI

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Journal: TRANSACTIONS ON COMBINATORICS Year:2012 | Volume:1 | Issue:4 Page(s): 17-24

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Information Journal Paper

Title

A SIMPLE APPROACH TO ORDER THE MULTIPLICATIVE ZAGREB INDICES OF CONNECTED GRAPHS

Author(s)

ELIASI MEHDI | Issue Writer Certificate

Keywords

MULTIPLICATIVE ZAGREB INDEXQ2

MAJORIZATIONQ2

UNICYCLIC GRAPHSQ2

BICYCLIC GRAPHSQ2

Abstract

The first (P1) and the second (P2) multiplicative Zagreb indices of a connected graph G, with vertex set V(G) and edge set E(G), are defined as P1(G)=PuÎV(G) du2 and P2(G)=PuvÎE(G) dudv, respectively, where du denotes the degree of the vertex u. In this paper we present a simple approach to order these indices for connected graphs on the same number of vertices. Moreover, as an application of this simple approach, we extend the known ordering of the first and the second multiplicative Zagreb indices for some classes of connected graphs.

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APA: Copy

ELIASI, MEHDI. (2012). A SIMPLE APPROACH TO ORDER THE MULTIPLICATIVE ZAGREB INDICES OF CONNECTED GRAPHS. TRANSACTIONS ON COMBINATORICS, 1(4), 17-24. SID. https://sid.ir/paper/213765/en

Vancouver: Copy

ELIASI MEHDI. A SIMPLE APPROACH TO ORDER THE MULTIPLICATIVE ZAGREB INDICES OF CONNECTED GRAPHS. TRANSACTIONS ON COMBINATORICS[Internet]. 2012;1(4):17-24. Available from: https://sid.ir/paper/213765/en

IEEE: Copy

MEHDI ELIASI, “A SIMPLE APPROACH TO ORDER THE MULTIPLICATIVE ZAGREB INDICES OF CONNECTED GRAPHS,” TRANSACTIONS ON COMBINATORICS, vol. 1, no. 4, pp. 17–24, 2012, [Online]. Available: https://sid.ir/paper/213765/en

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