• 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 diameter of random planar graphs 

      Chapuy, Guillaume; Fraser, Simon; Fusy, Eric; Giménez, Omer; Noy Serrano, Marc (Iniciativa Digital Politècnica, 2011)
      Text en actes de congrés
      Accés obert
      We show that the diameter D(Gn) of a random labelled connected planar graph with n vertices is asymptotically almost surely of order $n^{1/4}$, in the sense that there exists a constant c > 0 such that $P(D(G_n) \in{} ...
    • On the restricted arc-connectivity of s-geodetic digraphs 

      Balbuena Martínez, Maria Camino Teófila; García-Vázquez, Pedro (2010-10)
      Article
      Accés restringit per política de l'editorial
      For a strongly connected digraph D the restricted arc-connectivity λ′(D) is defined as the minimum cardinality of an arc-cut over all arc-cuts S satisfying that D - S has a non-trivial strong component D₁ such that D-V ...
    • On the superconnectivity in graphs with odd girth g and even girth h 

      Balbuena Martínez, Maria Camino Teófila; Montejano, Luis P. (2009-09)
      Article
      Accés restringit per política de l'editorial
      A maximally connected graph G of minimum degree δ is said to be superconnected (for short super-κ) if all disconnecting sets of cardinality δ are the neighborhood of some vertex of degree δ. Sufficient conditions on the ...
    • Some properties of higher order delaunay and gabriel graphs 

      Bose, Prosenjit; Collette, Sébastien; Hurtado Díaz, Fernando Alfredo; Korman, Matias; Langerman, Stefan; Sacristán Adinolfi, Vera; Saumell Mendiola, Maria (2010)
      Text en actes de congrés
      Accés obert
      We consider two classes of higher order proximity graphs defined on a set of points in the plane, namely, the k-Delaunay graph and the k-Gabriel graph. We give bounds on the following combinatorial and geometric properties ...
    • Superconnectivity of graphs with odd girth g and even girth h 

      Montejano, Luis P.; Balbuena Martínez, Maria Camino Teófila; García-Vázquez, Pedro (2009-09)
      Text en actes de congrés
      Accés restringit per política de l'editorial
      A maximally connected graph G of minimum degree δ is said to be superconnected (for short super-κ) if all disconnecting sets of cardinality δ are the neighborhood of some vertex of degree δ. Sufficient conditions on the ...