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Some results on global dominating sets

  • Vaidya, S. K. [1] ; Pandit, R. M. [2]
    1. [1] Saurashtra University

      Saurashtra University

      India

    2. [2] A. V. Parekh Technical Institute.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 32, Nº. 3, 2013, págs. 235-244
  • Idioma: inglés
  • DOI: 10.4067/S0716-09172013000300003
  • Enlaces
  • Resumen
    • A dominating set is called a global dominating set if it is a dominating set for a graph G and its complement G. We investigate some general results for global dominating sets corresponding to the graphs Pn, Cn and Wn.

  • Referencias bibliográficas
    • Citas [1] R. C. Brigham and R. D. Dutton, Factor domination in graphs, Discrete Mathematics, 86, pp. 127-136, (1990).
    • [2] T. W. Haynes, S. T. Hedetniemi and P. J. Slater, Fundamentals of Domination in Graphs, Monographs and Textbooks in Pure and Applied Mathematics,...
    • [3] V. R. Kulli and B. Janakiram, The total global domination number of a graph, Indian Journal of Pure and Applied Mathematics, 27, pp. 537-542,...
    • [4] E. Sampathkumar, The global domination number of a graph, J. Math. Phys.Sci., 23, pp. 377-385, (1989).
    • [5] S. K. Vaidya and R. M. Pandit, Some new results on global dominating sets, ISRN Discrete Mathematics,vol. 2012, Article ID 852129, 6 pages,...
    • [6] D. B. West, Introduction to Graph Theory, Prentice-Hall of India, New Delhi, (2003).

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