Enviaments recents

  • Locating domination in bipartite graphs and their complements 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel (2017-11-03)
    Report de recerca
    Accés obert
    A set S of vertices of a graph G is distinguishing if the sets of neighbors in S for every pair of vertices not in S are distinct. A locating-dominating set of G is a dominating distinguishing set. The location-domination ...
  • Metric-locating-dominating partitions in graphs 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel (2017-11-03)
    Report de recerca
    Accés obert
    A partition ¿ = { S 1 ,...,S k } of the vertex set of a connected graph G is a metric-locating partition of G if for every pair of vertices u,v belonging to the same part S i , d ( u,S j ) 6 = d ( v,S j ), for some other ...
  • Dominating 2- broadcast in graphs: complexity, bounds and extremal graphs 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Cáceres, José; Puertas, M. Luz (2017-10-16)
    Report de recerca
    Accés obert
    Limited dominating broadcasts were proposed as a variant of dominating broadcasts, where the broadcast function is upper bounded. As a natural extension of domination, we consider dominating 2-broadcasts along with the ...
  • The Plogi and ACi-1 operators on the polynomial time hierarchy 

    Castro Rabal, Jorge; Seara Ojea, Carlos (1993-11)
    Report de recerca
    Accés obert
    In a previous paper ([CS-92]) we studied the agreement of operators P_{log^i} and AC^{i-1} acting on NP. In this article we extend this work to other classes of the polynomial time hierarchy. We show that on Sigma_k^p, ...
  • General bounds on limited broadcast domination 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Puertas, Maria Luz; Cáceres, José (2016-09-19)
    Report de recerca
    Accés obert
    Limited dominating broadcasts were proposed as a variant of dominating broadcasts, where the broadcast function is upper bounded by a constant k . The minimum cost of such a dominating broadcast is the k -broadcast dominating ...
  • New results on metric-locating-dominating sets of graphs 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; González, Antonio (2016-04-13)
    Report de recerca
    Accés obert
    A dominating set S of a graph is a metric-locating-dominating set if each vertex of the graph is uniquely distinguished by its distanc es from the elements of S , and the minimum cardinality of such a set is called the ...
  • On the Partition Dimension and the Twin Number of a Graph 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel (2016-03-05)
    Report de recerca
    Accés obert
    A partition of the vertex set of a connected graph G is a locating partition of G if every vertex is uniquely determined by its vector of distances to the elements of . The partition dimension of G is the minimum ...
  • On cyclic Kautz digraphs 

    Böhmová, Katerina; Dalfó Simó, Cristina; Huemer, Clemens (2015)
    Report de recerca
    Accés obert
    A prominent problem in Graph Theory is to find extremal graphs or digraphs with restrictions in their diameter, degree and number of vertices. Here we obtain a new family of digraphs with minimal diameter, that is, given ...
  • Perfect anda quasiperfect domination in trees 

    Cáceres, Jose; Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel; Puertas, M. Luz (2015-05-29)
    Report de recerca
    Accés obert
  • On global location-domination in bipartite graphs 

    Hernando Martín, María del Carmen; Mora Giné, Mercè; Pelayo Melero, Ignacio Manuel (2015-06-10)
    Report de recerca
    Accés obert

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