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Zagreb indices of graphs 被引量:1
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作者 Kinkar Ch. DAS kexiang xu Junki NAM 《Frontiers of Mathematics in China》 SCIE CSCD 2015年第3期567-582,共16页
The first Zagreb index M1 (G) is equal to the sum of squares of the degrees of the vertices, and the second Zagreb index M2 (G) is equal to the sum of the products of the degrees of pairs of adjacent vertices of t... The first Zagreb index M1 (G) is equal to the sum of squares of the degrees of the vertices, and the second Zagreb index M2 (G) is equal to the sum of the products of the degrees of pairs of adjacent vertices of the underlying molecular graph G. In this paper, we obtain lower and upper bounds on the first Zagreb index MI(G) of G in terms of the number of vertices (n), number of edges (m), maximum vertex degree (△), and minimum vertex degree (δ). Using this result, we find lower and upper bounds on M2(G). Also, we present lower and upper bounds on M2(G) + M2(G) in terms of n, m, △, and δ, where denotes the complement of G. Moreover, we determine the bounds on first Zagreb coindex MI(G) and second Zagreb coindex M2(G). Finally, we give a relation between the first Zagreb index and the second Zagreb index of graph G. 展开更多
关键词 GRAPH first Zagreb index INDEX inverse degree second Zagreb index Narumi-Katayama
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