Ir al contenido

Documat


Power domination in splitting and degree splitting graph

  • Anitha, J. [1] ; Muthukumar, S.
    1. [1] Arulmigu Kapaleeswarar Arts and Science College.
  • Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 40, Nº. 6, 2021, págs. 1641-1655
  • Idioma: inglés
  • DOI: 10.22199/issn.0717-6279-4357-4641
  • Enlaces
  • Resumen
    • A vertex set S is called a power dominating set of a graph G if every vertex within the system is monitored by the set S following a collection of rules for power grid monitoring. The power domination number of G is the order of a minimal power dominating set of G.

      In this paper, we solve the power domination number for splitting and degree splitting graph.

  • Referencias bibliográficas
    • T. W. Haynes, S. M. Hedetniemi, S. T. Hedetniemi, and M. A. Henning, “Power domination in graphs applied to electrical power networks”, SIAM...
    • G. J. Chang, P. Dorbec, M. Montassier, and A. Raspud, “Generalized power domination of graphs”, Discrete applied mathematics, vol. 160, no.12,...
    • K. F. Benson, D.Ferrero, M. Flagg, V. Furst, L. Hogben, V. Vasilevskak, and B. Wissman, “Zero forcing and power domination for graph products”,...
    • G. J. Xu, L.Y. Kang, E. F. Shan, and M. Zhao, “Power domination in block graphs”, Theoretical computer science, vol. 359, pp. 299-305, 2006.
    • P. Dorbec, M. Mollard, S. Klavzar, and S. Spacapan, “Power domination in product graphs”, SIAM journal on discrete mathematics, vol. 22, no....
    • R. Barrera and D. Ferrero, “Power domination in cylinders, tori, and the generalized Petersen Graphs”, Networks, pp. 43-49, 2009.
    • S. Stephen, B. Rajan, J. Ryan, and C. Grigorious, “Power domination in certain chemical structures”, Journal of discrete algorithms, vol....
    • P. Bose, C. Pennarun, and S. Verdonschot, “Power domination on tri angular grids”, 2017, arXiv:1707.02760.
    • F. Kazemmnejad and S. Moradi, “Total domination number of central graph”, Bulletin of the Korean Mathematical Society, vol. 56, no. 4, pp....
    • J. Anitha, “2-Power domination number 1 for certain interconnection networks”, International journal applied engineering research, vol. 109,...
    • B. Basavanagoudi, P. V. Patil, and S. M. Hosamani, “Domination in degree splitting graphs”, Journal of analysis and computation, vol. 10,...
    • J. Anitha and I. Rajasingh , “Power domination parameters in hypermesh-pyramid networks and corona graphs”, International journal of pure...
    • R. Sundara Rajan ,J. Anitha, and I. Rajasingh, “2- Power domination in certain interconnection networks”, Procedia computer science, vol....
    • M. Miller, R. S. Rajan, R. Jayagopal, I. Rajasingh, and P. Manuel, “A note on the locating-total domination in graphs”, Discussiones mathematicae...

Fundación Dialnet

Mi Documat

Opciones de artículo

Opciones de compartir

Opciones de entorno