TAVAKOLI, M., RAHBARNIA, F. (2012). Note on Properties of First Zagreb Index of Graphs. Iranian Journal of Mathematical Chemistry, 3(Supplement 1), 1-5. doi: 10.22052/ijmc.2012.5269

M. TAVAKOLI; F. RAHBARNIA. "Note on Properties of First Zagreb Index of Graphs". Iranian Journal of Mathematical Chemistry, 3, Supplement 1, 2012, 1-5. doi: 10.22052/ijmc.2012.5269

TAVAKOLI, M., RAHBARNIA, F. (2012). 'Note on Properties of First Zagreb Index of Graphs', Iranian Journal of Mathematical Chemistry, 3(Supplement 1), pp. 1-5. doi: 10.22052/ijmc.2012.5269

TAVAKOLI, M., RAHBARNIA, F. Note on Properties of First Zagreb Index of Graphs. Iranian Journal of Mathematical Chemistry, 2012; 3(Supplement 1): 1-5. doi: 10.22052/ijmc.2012.5269

Note on Properties of First Zagreb Index of Graphs

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.