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Research Article

The change of Seidel energy of tripartite Turán graph due to edge deletion

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Pages 4597-4614 | Received 21 Jun 2020, Accepted 08 Feb 2021, Published online: 28 Feb 2021

References

  • van Lint JH, Seidel JJ. Equilateral point sets in elliptic geometry. Indag Math. 1966;28:335–348.
  • Balla I, Dräxler F, Keevash P, et al.Equiangular lines and spherical codes in Euclidean space. Invent Math. 2018;211(1):179–212.
  • Bukh B. Bounds on equiangular lines and on related spherical codes. SIAM J Discrete Math. 2016;30:549–554.
  • Greaves G, Koolen JH, Munemasa A, et al. Equiangular lines in Euclidean spaces. J Combin Theory Ser A. 2016;138:208–235.
  • Greaves GRW, Yatsyna P. On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix. Math Comp. 2019;88:3041–3061.
  • Okuda T, Yu W-H. A new relative bound for equiangular lines and nonexistence of tight spherical designs of harmonic index 4. Eur J Combin. 2016;53:96–103.
  • Szöllősi F, Östergård PRJ. Enumeration of Seidel matrices. Eur J Combin. 2018;69:169–184.
  • Haemers WH. Seidel switching and graph energy. MATCH Commun Math Comput Chem. 2012;68:653–659.
  • Berman A, Shaked-Monderer N, Singh R, et al. Complete multipartite graphs that are determined up to switching, by their Seidel spectrum. Linear Algebra Appl. 2019;564:58–71.
  • Wang L, Zhao G, Li K. Seidel integral complete r-partite graphs. Graphs Combin. 2014;30(2):479–493.
  • Ghorbani E. On eigenvalues of Seidel matrices and Haemers' conjecture. Des Codes Cryptogr. 2017;84(1-2):189–195.
  • Rizzolo D. Determinants of Seidel matrices and a conjecture of ghorbani. Linear Algebra Appl. 2019;579:51–54.
  • Oboudi MR. Energy and Seidel energy of graphs. MATCH Commun Math Comput Chem. 2016;75:291–303.
  • Akbari S, Einollahzadeh M, Karkhaneei MM, et al. Proof of a conjecture on the Seidel energy of graphs. Eur J Combin. 2020;86:103078.
  • Akbari S, Ghorbani E, Oboudi MR. Edge addition singular values, and energy of graphs and matrices. Linear Algebra Appl. 2009;430:2192–2199.
  • Day J, So W. Singular value inequality and graph energy change. Electron J Linear Algebra. 2007;16:291–299.
  • Day J, So W. Graph energy change due to edge deletion. Linear Algebra Appl. 2008;428:2070–2078.
  • Tian G-X, Li Y, Cui S-Y. The change of distance energy of some special complete multipartite graphs due to edge deletion. Linear Algebra Appl. 2020;584:438–457.
  • Varghese A, So Wasin, Vijayakumar A. Distance energy change of complete bipartite graph due to edge deletion. Linear Algebra Appl. 2018;553:211–222.
  • Brouwer AE, Haemers WH. Spectra of graphs. New York: Springer; 2012.

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