Abstract

Let \(\mathfrak {D}_{n, p,q}\) be the set of strongly connected bipartite digraphs on n vertices with complete bipartite digraph, where p, q, n are positive integers and \(p+q\le n\). In this paper, the minimum spectral radius of \(\mathfrak {D}_{n, p,q}\) is studied and extremal graphs with the minimum spectral radius are characterized.

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