Note on Properties of First Zagreb Index of Graphs

Authors

  • F. RAHBARNIA Ferdowsi University of Mashhad, Iran
  • M. TAVAKOLI Ferdowsi University of Mashhad, Iran
Abstract:

Let G be a graph. The first Zagreb M1(G) of graph G is defined as: M1(G) = uV(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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