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arxiv: 1511.03511 · v5 · pith:NI3GU4QPnew · submitted 2015-11-10 · 🧮 math.CO · math.SP

On the signed graphs with two distinct eigenvalues

F. Ramezani This is my paper
classification 🧮 math.CO math.SP
keywords graphssignedbipartitedistincteigenvaluesfamiliesconsiderconstruct
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We consider signed graphs, i.e, graphs with positive or negative signs on their edges. We construct some families of bipartite signed graphs with only two distinct eigenvalues. This leads to constructing infinite families of regular bipartite Ramanujan graphs.

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  1. Open problems in the spectral theory of signed graphs

    math.CO 2019-07 accept novelty 2.0

    Survey of adjacency spectra results for signed graphs and open problems that generalize those studied for unsigned graphs.