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arxiv: 1609.01128 · v1 · pith:4CJXBBJEnew · submitted 2016-09-05 · 🧮 math.CO · cs.DM

Ordering Unicyclic Graphs with Respect to F-index

classification 🧮 math.CO cs.DM
keywords graphsunicyclicf-indicesf-indexfirstcharacterizecubedegrees
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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.

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