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Equienergetic self-complementary graphs

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In this paper equienergetic self-complementary graphs on p vertices for every p = 4k, k ⩾ 2 and p = 24t + 1, t ⩾ 3 are constructed.

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References

  1. R. Balakrishnan: A Text Book of Graph Theory. Springer, 2000.

  2. R. Balakrishnan: The energy of a graph. Linear Algebra Appl. 387 (2004), 287–295.

    Article  MATH  MathSciNet  Google Scholar 

  3. C. A. Coulson:Proc. Cambridge Phil. Soc. 36 (1940), 201–203.

    Article  Google Scholar 

  4. D. M. Cvetkovic, M. Doob and H. Sachs: Spectra of Graphs-Theory and Applications. Academic Press, 1980.

  5. D. Stevanović: Energy and NEPS of graphs. Linear Multilinear Algebra 53 (2005), 67–74.

    Article  MATH  MathSciNet  Google Scholar 

  6. A. Farrugia: Self-complementary graphs and generalisations: A comprehensive reference manual. M. Sc.Thesis, University of Malta, 1999.

  7. I. Gutman: The energy of a graph. Ber. Math. Statist. Sekt. Forschungszenturm Graz 103 (1978), 1–22.

    MathSciNet  Google Scholar 

  8. I. Gutman: The energy of a graph: old and new results (A. Betten, A. Kohnert, R. Laue, A. Wassermann, eds.). Algebraic Combinatorics and Applications, Springer, 2000, pp. 196–211.

  9. I. Gutman: Topology and stability of conjugated hydrocarbons. The dependence of total π-electron energy on molecular topology. J. Serb. Chem. Soc. 70 (2005), 441–456.

    Article  Google Scholar 

  10. G. Indulal and A. Vijayakumar: On a pair of equienergetic graphs. MATCH Commun. Math. Comput. Chem. 55 (2006), 83–90.

    MATH  MathSciNet  Google Scholar 

  11. G. Indulal and A. Vijayakumar: Energies of some non-regular graphs. J. Math. Chem 42 (2007), 377–386.

    Article  MATH  MathSciNet  Google Scholar 

  12. H. S. Ramane, I. Gutman, H. B. Walikar and S. B. Halkarni: Another class of equienergetic graphs. Kragujevac. J. Math. 26 (2004), 15–18.

    MATH  MathSciNet  Google Scholar 

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Indulal, G., Vijayakumar, A. Equienergetic self-complementary graphs. Czech Math J 58, 911–919 (2008). https://doi.org/10.1007/s10587-008-0059-y

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  • DOI: https://doi.org/10.1007/s10587-008-0059-y

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