Abstract
For a (molecular) graph, the first Zagreb index M1 is equal to the sum of the squares of the degrees of the vertices, and the second Zagreb index M2 is equal to the sum of the products of the degrees of pairs of adjacent vertices. It is well known that for connected or disconnected graphs with n vertices and m edges, the inequality M2/m ≥ M 1/n does not always hold. Here we show that this relation holds for certain kinds of graphs.
| Original language | English |
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| Pages (from-to) | 433-440 |
| Number of pages | 8 |
| Journal | Match |
| Volume | 63 |
| Issue number | 2 |
| State | Published - 2010 |