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math.CO2020
A spectral extremal problem on graphs with given size and matching number
Mingqing Zhai, Jie Xue, Ruifang Liu
Brualdi and Hoffman (1985) proposed the problem of determining the maximal spectral radius of graphs with given size. In this paper, we consider the Brualdi-Hoffman type problem of…
math.CO2020
Fractional matching number and spectral radius of nonnegative matrix of graphs
Ruifang Liu, Hong-Jian Lai, Litao Guo +1
A fractional matching of a graph is a function such that for any , where is incident wit…