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Extremal Laplacian-energy-like invariant of graphs with given matching number

Extremal Laplacian-energy-like invariant of graphs with given matching number

Let G be a graph of order n with Laplachian spectrum μ1 ≥ μ2 ≥  · · · ≥ μn. The Laplacian-energy like invariant of graph G, LEL for short, is defined as: LEL(G) = . In this note, the extremal (maximal and minimal) LEL among all the connected graphs with …