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Some results on the complete sigraphs with exactly three non-negative eigenvalues | ||
| Communications in Combinatorics and Optimization | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 30 دی 1402 اصل مقاله (393.34 K) | ||
| نوع مقاله: Original paper | ||
| شناسه دیجیتال (DOI): 10.22049/cco.2024.29118.1847 | ||
| نویسندگان | ||
| Abbas Kermanian؛ Farideh Heydari* ؛ Mohammad Maghasedi | ||
| Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran | ||
| چکیده | ||
| Let $(K_{n},H^-)$ be a complete sigraph of order $n$ whose negative edges induce a subgraph $H$. In this paper, we characterize $(K_n,H^-)$ with exactly 3 non-negative eigenvalues, where $H$ is a non-spanning two-cyclic subgraph of $K_n$. | ||
| کلیدواژه‌ها | ||
| sigraph؛ complete graph؛ two-cyclic graph؛ non-negative eigenvalues | ||
| مراجع | ||
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[1] S. Akbari, S. Dalvandi, F. Heydari, and M. Maghasedi, On the multiplicity of −1 and 1 in signed complete graphs, Util. Math. 116 (2020), 21–32.
[2] S. Akbari, S. Dalvandi, F. Heydari, and M. Maghasedi, On the eigenvalues of signed complete graphs, Linear Multilinear Algebra 67 (2019), no. 3, 433–441. https://doi.org/10.1080/03081087.2017.1403548 [3] F. Belardo, M. Brunetti, M. Cavaleri, and A. Donno, Constructing cospectral signed graphs, Linear Multilinear Algebra 69 (2021), no. 14, 2717–2732. https://doi.org/10.1080/03081087.2019.1694483 [4] A.E. Brouwer and W.H. Haemers, Spectra of Graphs, Springer Science & Business Media, 2011.
[5] M. Brunetti and A. Ciampella, Signed bicyclic graphs with minimal index, Commun. Comb. Optim. 8 (2023), no. 1, 207–241. https://doi.org/10.22049/cco.2022.27346.1241 [6] M. Brunetti and Z. Stanić, Ordering signed graphs with large index, Ars Math. Contemp. 22 (2022), no. 4, 595–608. https://doi.org/10.26493/1855-3974.2714.9b3 [7] M. Brunetti and Z. Stanić, Unbalanced signed graphs with extremal spectral radius or index, Comput. Appl. Math. 41 (2022), no. 3, Article number: 118. https://doi.org/10.1007/s40314-022-01814-5 [8] D. Cvetković, P. Rowlinson, and S. Simić, An Introduction to the Theory of Graph Spectra, Cambridge University Press, London, 2009.
[9] S. Dalvandi, F. Heydari, and M. Maghasedi, Signed complete graphs with exactly m non-negative eigenvalues, Bull. Malays. Math. Sci. Soc. 45 (2022), no. 5, 2107–2122. https://doi.org/10.1007/s40840-022-01331-y [10] S. Dalvandi, F. Heydari, and M. Maghasedi, A characterization of (kn, u−) in the class l(3), Ric. Mat. (2024), in press https://doi.org/10.1007/s11587-023-00844-3 [11] M.R. Oboudi, Characterization of graphs with exactly two non-negative eigenvalues, Ars Math. Contemp. 12 (2016), no. 2, 271–286.
[12] M. Petrović, Graphs with a small number of nonnegative eigenvalues, Graphs Combin. 15 (1999), no. 2, 221–232. https://doi.org/10.1007/s003730050042 [13] J.H. Smith, Symmetry and multiple eigenvalues of graphs, Glas. Mat. Ser. III 12 (1977), no. 1, 3–8.
[14] M. Souri, F. Heydari, and M. Maghasedi, Maximizing the largest eigenvalues of signed unicyclic graphs, Discrete Math. Algorithms Appl. 12 (2020), no. 2, Article ID: 2050016. https://doi.org/10.1142/S1793830920500160 [15] Z. Stanić, Some relations between the skew spectrum of an oriented graph and the spectrum of certain closely associated signed graphs, Rev. de la Union Mat. Argentina 63 (2022), no. 1, 41–50. https://doi.org/10.33044/revuma.1914 [16] A. Torgašev, Graphs with exactly two negative eigenvalues, Math. Nachr. 122 (1985), no. 1, 135–140. https://doi.org/10.1002/mana.19851220113 [17] T. Zaslavsky, Matrices in the theory of signed simple graphs, Advances in Discrete Mathematics and Applications, Ramanujan Mathematical Society Lecture Notes Series 13, Ramanujan Mathematical Society, Mysore, 2010, pp. 207–229. | ||
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