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No Threshold graphs are cospectral
J. Lazzarin, O. F. Márquez, F. Tura · 2018-06-20 · via math.CO updates on arXiv.org

A threshold graph G on n vertices is defined by binary sequence of length n. In this paper we present an explicit formula for computing the characteristic polynomial of a threshold graph from its binary sequence. Applications include obtaining a formula for the determinant of adjacency matrix of a threshold graph and showing that no two nonisomorphic threshold graphs are cospectral.

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