• Journals
  • Discipline
  • Indexed
  • Institutions
  • About
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  •   Home
  • Universidad Católica del Norte
  • Proyecciones: Journal of Mathematics
  • View Item
  •   Home
  • Universidad Católica del Norte
  • Proyecciones: Journal of Mathematics
  • View Item

Zero forcing in Benzenoid network

Author
Anitha, J.

Rajasingh, Indra

Full text
https://www.revistaproyecciones.cl/article/view/3907
10.22199/issn.0717-6279-2019-05-0064
Abstract
A set S of vertices in a graph G is called a dominating set of G if every vertex in V (G)\S is adjacent to some vertex in S. A set S is said to be a power dominating set of G if every vertex in the system is monitored by the set S following a set of rules for power system monitoring. The power domination number of G is the minimum cardinality of a power dominating set of G. A dynamic coloring of the vertices of a graph G starts with an initial subset S of colored vertices, with all remaining vertices being non-colored. At each discrete time interval, a colored vertex with exactly one non-colored neighbor forces this non-colored neighbor to be colored. The initial set S is called a forcing set (zero forcing set) of G if, by iteratively applying the forcing process, every vertex in G becomes colored. The zero forcing number of G, denoted Z(G), is the minimum cardinality of a zero forcing set of G. In this paper, we obtain the zero forcing number for certain benzenoid networks.  
Metadata
Show full item record
Discipline
Artes, Arquitectura y UrbanismoCiencias Agrarias, Forestales y VeterinariasCiencias Exactas y NaturalesCiencias SocialesDerechoEconomía y AdministraciónFilosofía y HumanidadesIngenieríaMedicinaMultidisciplinarias
Institutions
Universidad de ChileUniversidad Católica de ChileUniversidad de Santiago de ChileUniversidad de ConcepciónUniversidad Austral de ChileUniversidad Católica de ValparaísoUniversidad del Bio BioUniversidad de ValparaísoUniversidad Católica del Nortemore

Browse

All of DSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsThis CollectionBy Issue DateAuthorsTitlesSubjects

My Account

LoginRegister
Dirección de Servicios de Información y Bibliotecas (SISIB) - Universidad de Chile
© 2019 Dspace - Modificado por SISIB