Construction of Sequences of Borderenergetic Graphs

• Vaidya, Samir K. ^[1] ; Popat, Kalpesh M. ^[2]
  1. [1] Saurashtra University

     Saurashtra University

     India

     
  2. [2] Atmiya University

     Atmiya University

     India

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 38, Nº. 4, 2019, págs. 837-847
• Idioma: inglés
• DOI: 10.22199/issn.0717-6279-2019-04-0055
• Enlaces
  • Texto completo
• Resumen

  • The graphs whose energy is same as that of complete graphs are known as borderenergetic graphs. We propose a procedure for the construction of borderenergetic graphs and investigate three sequences of borderenergetic graphs.

• Referencias bibliográficas
  • D. West, Introduction to graph theory, 2nd ed. Chennai, TN: Pearson India, 2000. [2] S. Lang, Algebra, 3rd ed., vol. 211. New York, NY: Springer,...
  • D. Cvetković, P. Rowlinson and Simić Slobodan, An introduction to the theory of graph spectra, vol. 75. Cambridge: Cambridge University...
  • X. Li, Y. Shi, and I. Gutman, Graph energy. New York, NY: Springer, 2012, doi: 10.1007/978-1-4614-4220-2.
  • I. Gutman, “The energy of a graph”, Berichte der Mathematisch–Statistischen Sektion im Forschungszentrum Graz, vol. 103, pp. 1-22, 1978.
  • S. Gong, X. Li, G. Xu, I. Gutman and B. Furtula, “Borderenergetic graphs”, MATCH Communications in mathematical and in computer chemistry,...
  • X. Li, M. Wei and S. Gong, “A computer search for the borderenergetic graphs of order 10”, MATCH Communications in mathematical and in computer...
  • Z. Shao, F. Deng, Correcting the number of borderenergetic graphs of order 10, MATCH Communications in mathematical and in computer chemistry,...
  • B. Furtula and I. Gutman, “Borderenergetic graphs of order 12”, Iranian journal of mathematical chemistry, vol. 8, no. 4, pp. 339-343, 2017,...
  • S. K. Vaidya, K. M. Popat, “Some borderenergetic and equienergetic graphs of arbitrarily large order”, Communicated.