Note on Properties of First Zagreb Index of Graphs
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Abstract:
Let G be a graph. The first Zagreb M1(G) of graph G is defined as: M1(G) = uV(G) deg(u)2. In this paper, we prove that each even number except 4 and 8 is a first Zagreb index of a caterpillar. Also, we show that the fist Zagreb index cannot be an odd number. Moreover, we obtain the fist Zagreb index of some graph operations.
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Journal title
volume 3 issue Supplement 1
pages 1- 5
publication date 2012-12-01
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