The minimum matching energy of tricyclic graphs with given girth and without K4-sub division

Ars Comb.(2017)

Cited 22|Views3
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Abstract
The matching energy of a graph was introduced by Gutman and Wagner in 2012 and defined as the sum of the absolute values of zeros of its matching polynomial. In this paper, we completely determine the graph with minimum matching energy in tricyclic graphs with given girth and without K4-subdivision.
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Key words
matching energy,graph energy,tricyclic graph,girth
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