• A sufficient condition for Pk-path graphs being r-connected 

      Balbuena Martínez, Maria Camino Teófila; García-Vázquez, Pedro (2007-08)
      Article
      Accés obert
      Given an integer k≥1 and any graph G; the path graph $P_k(G)$ has for vertices the paths of length k in G, and two vertices are joined by an edge if and only if the intersection of the corresponding paths forms a path of ...
    • On the connectivity and superconnected graphs with small diameter 

      Balbuena Martínez, Maria Camino Teófila; Marshall, Kim; Montejano, Luis P. (2010-03-06)
      Article
      Accés restringit per política de l'editorial
      In this paper, first we prove that any graph G is 2-connected if diam (G)≤ g-1 for even girth g, and for odd girth g and maximum degree $\Delta$ ≤ 2$\delta$-1 where $\delta$ is the minimum degree. Moreover, we prove that ...
    • On the vulnerability of some families of graphs 

      Moreno Casablanca, Rocío; Díanez, Ana R.; García-Vázquez, Pedro (Iniciativa Digital Politècnica, 2011)
      Text en actes de congrés
      Accés obert
      The toughness of a noncomplete graph G is defined as τ (G) = min{|S|/ω(G − S)}, where the minimum is taken over all cutsets S of vertices of G and ω(G − S) denotes the number of components of the resultant graph G − S by ...