The comparison of two Zagreb-Fermat eccentricity indices
Abstract
In this paper, we focus on comparing the first and second Zagreb-Fermat eccentricity indices of graphs. We show that Σuv∈ E( G )3( u ) 3( v )m( G ) ≤ Σu∈ V( G )32( u )n( G ) holds for all acyclic and unicyclic graphs. Besides, we verify that the inequality may not be applied to graphs with at least two cycles.
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