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Ordering Unicyclic Graphs with Respect to F-index (1609.01128v1)
Published 5 Sep 2016 in math.CO and cs.DM
Abstract: F-index of a graph is the sum of the cube of the degrees of the vertices. In this paper, we investigate the F-indices of unicyclic graphs by introducing some transformation, and characterize the unicyclic graphs with the first five largest F-indices and the unicyclic graphs with the first two smallest F-indices, respectively.