On Comparing Zagreb Indices of Graphs

Year 2012, Volume: 41 Issue: 2, 223 - 230, 01.02.2012

Batmend Horoldagva Kinkar Ch. Das

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, M2/m ≥ M1/n does not hold always. In K. C. Das (On comparing Zagreb indices of graphs, MATCH Commun. Math. Comput. Chem. 63, 433–440, 2010), it has been shown that the above relation holds for a special kind of graph. Here we continue our search for special kinds of graph for which the above relation holds.

Keywords

First Zagreb index, Second Zagreb index, Cartesian product, Threshold graph, 2000 AMS Classification: 05 C 35

On Comparing Zagreb Indices of Graphs

Abstract

References

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