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On signed graphs with just two distinct adjacency eigenvalues
Affiliation:1. Department of Mathematical Science, Sharif University of Technology, Tehran, Iran;2. Department of Mathematics and Applications “R. Caccioppoli”, University of Naples Federico II, Italy;3. Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Abstract:In this paper, all simple connected signed graphs with maximum degree at most 4 and with just two distinct adjacency eigenvalues are completely characterized, there exists an infinite family of 4-regular signed graphs with just two distinct adjacency eigenvalues.
Keywords:Signed graph  Adjacency matrix  Eigenvalues
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