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Which graphs are determined by their spectrum?

Citations

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Cited by:

  1. Xiaoyun Yang & Ligong Wang, 2020. "Laplacian Spectral Characterization of (Broken) Dandelion Graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(3), pages 915-933, September.
  2. Fei Wen & Qiongxiang Huang & Xueyi Huang & Fenjin Liu, 2015. "The spectral characterization of wind-wheel graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(5), pages 613-631, October.
  3. Haemers, W.H., 2005. "Matrices and Graphs," Other publications TiSEM 94b6bd28-71e7-41d3-b978-c, Tilburg University, School of Economics and Management.
  4. Saeree Wananiyakul & Jörn Steuding & Janyarak Tongsomporn, 2022. "How to Distinguish Cospectral Graphs," Mathematics, MDPI, vol. 10(24), pages 1-24, December.
  5. van Dam, E.R., 2008. "The spectral excess theorem for distance-regular graphs : A global (over)view," Other publications TiSEM 35daf99b-ad28-4e21-8b1f-6, Tilburg University, School of Economics and Management.
  6. Haemers, W.H. & Omidi, G.R., 2010. "Universal Adjacency Matrices with Two Eigenvalues," Other publications TiSEM 932a73a8-9fae-44ec-9ce5-7, Tilburg University, School of Economics and Management.
  7. Al-Yakoob, Salem & Kanso, Ali & Stevanović, Dragan, 2022. "On Hosoya’s dormants and sprouts," Applied Mathematics and Computation, Elsevier, vol. 430(C).
  8. Chesnokov, A.A. & Haemers, W.H., 2005. "Regularity and the Generalized Adjacency Spectra of Graphs," Discussion Paper 2005-124, Tilburg University, Center for Economic Research.
  9. van Dam, E.R. & Haemers, W.H., 2007. "Developments on Spectral Characterizations of Graphs," Other publications TiSEM 3827c785-7b51-4bcd-aea3-f, Tilburg University, School of Economics and Management.
  10. Topcu, Hatice & Sorgun, Sezer, 2018. "The kite graph is determined by its adjacency spectrum," Applied Mathematics and Computation, Elsevier, vol. 330(C), pages 134-142.
  11. Fei Wen & Qiongxiang Huang & Xueyi Huang & Fenjin Liu, 2018. "On the Laplacian spectral characterization of Π-shape trees," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(3), pages 397-411, September.
  12. B. R. Rakshith, 2022. "Signless Laplacian spectral characterization of some disjoint union of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 53(1), pages 233-245, March.
  13. van Dam, E.R. & Haemers, W.H., 2010. "An Odd Characterization of the Generalized Odd Graphs," Other publications TiSEM 2478f418-ae83-4ac3-8742-2, Tilburg University, School of Economics and Management.
  14. Fei Wen & You Zhang & Muchun Li, 2019. "Spectra of Subdivision Vertex-Edge Join of Three Graphs," Mathematics, MDPI, vol. 7(2), pages 1-19, February.
  15. van Dam, E.R. & Haemers, W.H., 2010. "An Odd Characterization of the Generalized Odd Graphs," Discussion Paper 2010-47, Tilburg University, Center for Economic Research.
  16. van Dam, E.R. & Omidi, G.R., 2011. "Graphs whose normalized laplacian has three eigenvalues," Other publications TiSEM d3b7fa76-22b5-4a9a-8706-a, Tilburg University, School of Economics and Management.
  17. Cui, Shu-Yu & Tian, Gui-Xian, 2017. "The spectra and the signless Laplacian spectra of graphs with pockets," Applied Mathematics and Computation, Elsevier, vol. 315(C), pages 363-371.
  18. Haemers, W.H., 2005. "Matrices and Graphs," Discussion Paper 2005-37, Tilburg University, Center for Economic Research.
  19. Haemers, W.H. & Omidi, G.R., 2010. "Universal Adjacency Matrices with Two Eigenvalues," Discussion Paper 2010-119, Tilburg University, Center for Economic Research.
  20. Xue, Jie & Liu, Shuting & Shu, Jinlong, 2018. "The complements of path and cycle are determined by their distance (signless) Laplacian spectra," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 137-143.
  21. Haemers, W.H. & Ramezani, F., 2009. "Graphs Cospectral with Kneser Graphs," Other publications TiSEM 386fd2ad-65f2-42b6-9dfc-1, Tilburg University, School of Economics and Management.
  22. Xihe Li & Ligong Wang & Shangyuan Zhang, 2018. "The Signless Laplacian Spectral Radius of Some Strongly Connected Digraphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 49(1), pages 113-127, March.
  23. van Dam, E.R. & Haemers, W.H. & Koolen, J.H., 2006. "Cospectral Graphs and the Generalized Adjacency Matrix," Discussion Paper 2006-31, Tilburg University, Center for Economic Research.
  24. Yu, Guihai & Liu, Xin & Qu, Hui, 2017. "Singularity of Hermitian (quasi-)Laplacian matrix of mixed graphs," Applied Mathematics and Computation, Elsevier, vol. 293(C), pages 287-292.
  25. Mao, Ding & Wang, Peng & Fang, Yi-Ping & Ni, Long, 2024. "Securing heat-supply against seismic risks: A two-staged framework for assessing vulnerability and economic impacts in district heating networks," Applied Energy, Elsevier, vol. 369(C).
  26. Lei, Xingyu & Wang, Jianfeng, 2022. "Spectral determination of graphs with one positive anti-adjacency eigenvalue," Applied Mathematics and Computation, Elsevier, vol. 422(C).
  27. R. Pavithra & R. Rajkumar, 2021. "Spectra of M-edge rooted product of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 52(4), pages 1235-1255, December.
  28. van Dam, E.R. & Haemers, W.H., 2007. "Developments on Spectral Characterizations of Graphs," Discussion Paper 2007-33, Tilburg University, Center for Economic Research.
  29. Wang, Xiangrong & Trajanovski, Stojan & Kooij, Robert E. & Van Mieghem, Piet, 2016. "Degree distribution and assortativity in line graphs of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 445(C), pages 343-356.
  30. Yuan, Bo-Jun & Wang, Yi & Xu, Jing, 2020. "Characterizing the mixed graphs with exactly one positive eigenvalue and its application to mixed graphs determined by their H-spectra," Applied Mathematics and Computation, Elsevier, vol. 380(C).
  31. Chesnokov, A.A. & Haemers, W.H., 2005. "Regularity and the Generalized Adjacency Spectra of Graphs," Other publications TiSEM abb5a199-ef7c-4401-9eff-f, Tilburg University, School of Economics and Management.
  32. Aouchiche, Mustapha & Hansen, Pierre, 2018. "Cospectrality of graphs with respect to distance matrices," Applied Mathematics and Computation, Elsevier, vol. 325(C), pages 309-321.
  33. Maiorino, Enrico & Rizzi, Antonello & Sadeghian, Alireza & Giuliani, Alessandro, 2017. "Spectral reconstruction of protein contact networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 804-817.
  34. Haemers, W.H. & Ramezani, F., 2009. "Graphs Cospectral with Kneser Graphs," Discussion Paper 2009-76, Tilburg University, Center for Economic Research.
  35. Tianyi Bu & Lizhu Sun & Wenzhe Wang & Jiang Zhou, 2014. "Main Q-eigenvalues and generalized Q-cospectrality of graphs," Indian Journal of Pure and Applied Mathematics, Springer, vol. 45(4), pages 531-538, August.
  36. Abiad, Aida & Alfaro, Carlos A., 2021. "Enumeration of cospectral and coinvariant graphs," Applied Mathematics and Computation, Elsevier, vol. 408(C).
  37. Estrada, Ernesto, 2007. "Graphs (networks) with golden spectral ratio," Chaos, Solitons & Fractals, Elsevier, vol. 33(4), pages 1168-1182.
  38. van Dam, E.R. & Haemers, W.H. & Koolen, J.H., 2006. "Cospectral Graphs and the Generalized Adjacency Matrix," Other publications TiSEM 734d4054-b542-47a6-b1e8-c, Tilburg University, School of Economics and Management.
  39. Jia Wei & Jing Wang, 2022. "Spectra of Complemented Triangulation Graphs," Mathematics, MDPI, vol. 10(17), pages 1-9, September.
  40. Zhang, Xiao-Qin & Cui, Shu-Yu & Tian, Gui-Xian, 2022. "Signless Laplacian state transfer on Q-graphs," Applied Mathematics and Computation, Elsevier, vol. 425(C).
  41. Lizhu Sun & Wenzhe Wang & Jiang Zhou & Changjiang Bu, 2015. "Laplacian spectral characterization of some graph join," Indian Journal of Pure and Applied Mathematics, Springer, vol. 46(3), pages 279-286, June.
  42. Singh, Ranveer & Wankhede, Hitesh, 2024. "A note on graphs with purely imaginary per-spectrum," Applied Mathematics and Computation, Elsevier, vol. 475(C).
  43. Comellas, Francesc & Diaz-Lopez, Jordi, 2008. "Spectral reconstruction of complex networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6436-6442.
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