The Minimal Matching Energy of (n,m)-Graphs with a Given Matching Number
نویسندگان
چکیده
The matching energy of a graph is defined as the sum of the absolute values of the zeros of its matching polynomial. Let Gn,m be the set of connected graphs of order n and with m edges. In this note we determined the extremal graphs from Gn,m with n ≤ m ≤ 2n−4 minimizing the matching energy. Also we determined the minimal matching energy of graphs from Gn,m where m = n−1+t and 1 ≤ t ≤ β−1 and with a given matching number β. Moreover, the above extremal graphs have been completely characterized.
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تاریخ انتشار 2015