On signed graphs with just two distinct adjacency eigenvalues |
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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 |
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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. |
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Keywords: | Signed graph Adjacency matrix Eigenvalues |
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