Now showing items 1-20 of 25

    • A new application of the $\otimes_h$-product to $\alpha$-labelings 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni (2015)
      Article
      Open Access
      The weak tensor product was introduced by Snevily as a way to construct new graphs that admit a-labelings from a pair of known a-graphs. In this article, we show that this product and the application to a-labelings can be ...
    • A new labeling construction from the -product 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Prabu, M. (2017-08-01)
      Article
      Open Access
      The ¿h-product that is referred in the title was introduced in 2008 as a generalization of the Kronecker product of digraphs. Many relations among labelings have been obtained since then, always using as a second factor a ...
    • Bi-magic and other generalizations of super edge-magic labelings 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2011-06-15)
      Article
      Restricted access - publisher's policy
      In this paper, we use the product ⊗h in order to study super edge-magic labelings, bi-magic labelings and optimal k-equitable labelings. We establish, with the help of the product ⊗h, new relations between super edge-magic ...
    • Characterizing path-like trees from linear configurations 

      López Masip, Susana Clara (2017)
      Conference lecture
      Open Access
      Assume that we embed the path Pn as a subgraph of a 2-dimensional grid, namely, Pk¿Pl. Given such an embedding, we consider the ordered set of subpaths L1, L2,...,Lm which are maximal straight segments in the embedding, ...
    • Connectivity and other invariants of generalized products of graphs 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni (2015-02-24)
      Article
      Open Access
      Figueroa-Centeno et al. [4] introduced the following product of digraphs let D be a digraph and let G be a family of digraphs such that V (F) = V for every F¿G. Consider any function h:E(D)¿G. Then the product D¿hG is the ...
    • Descomposicions de grafs en arbres. 

      López Masip, Susana Clara (Universitat Politècnica de Catalunya, 2003-02-20)
      Doctoral thesis
      Open Access
    • (Di)graph products, labelings and related results 

      López Masip, Susana Clara (2017-07)
      Article
      Open Access
      Gallian's survey shows that there is a big variety of labelings of graphs. By means of (di)graphs products we can establish strong relations among some of them. Moreover, due to the freedom of one of the factors, we can ...
    • Distance labelings: a generalization of Langford sequences 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni (2016-01-05)
      Article
      Open Access
      A Langford sequence of order m and defect d can be identified with a labeling of the vertices of a path of order 2m in which each labeled from d up to d + m - 1 appears twice and in which the vertices that have been label ...
    • Enumerating super edge-magic labelings for some types of path-like trees 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2010-06-02)
      Article
      Open Access
      The main goal of this paper is to use a variation of the Kronecker product of matrices in order to obtain lower bounds for the number of non isomorphic super edge-magic labelings of some types of path-like trees. As a ...
    • Enumerating super edge-magic labelings for the union of non-isomorphic graphs 

      Ahmad, Ali; López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2011-06-15)
      Article
      Open Access
      A super edge-magic labeling of a graph G=(V,E) of order p and size q is a bijection f:V ∪E→{i}p+qi=1 such that: (1) f(u)+f(uv)+f(v)=k for all uv∈E; and (2) f(V )={i}pi=1. Furthermore, when G is a linear forest, the super ...
    • Every tree is a large subtree of a tree that decomposes Kn or Kn,n 

      Lladó Sánchez, Ana M.; López Masip, Susana Clara; Moragas Vilarnau, Jordi (2010-02-28)
      Article
      Restricted access - publisher's policy
      Let T be a tree with m edges. A well-known conjecture of Ringel states that T decomposes the complete graph $K_{2m+1}$. Graham and Häggkvist conjectured that T also decomposes the complete bipartite graph $K_{m,m}$. In ...
    • FQ primavera 2018 

      Espona Dones, Margarida; López Masip, Susana Clara; Rué Perna, Juan José (Universitat Politècnica de Catalunya, 2018-06-11)
      Exam
      Restricted access to the UPC academic community
    • Langford sequences and a product of digraphs 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni (2015-12-07)
      Article
      Open Access
      Skolem and Langford sequences and their many generalizations have applications in numerous areas. The ¿h-product is a generalization of the direct product of digraphs. In this paper we use the ¿h-product and super edge-magic ...
    • Magic coverings and the Kronecker product 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2009-12-11)
      Article
      Open Access
      In this paper we study a relationship existing among (super) magic coverings and the well known Kronecker product of matrices. We also introduce the concept of Zn–property for digraphs in order to study this relation ...
    • Magic coverings and the Kronecker product 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2014-11-01)
      Article
      Restricted access - publisher's policy
      In this paper we study a relationship existing among (super) magic coverings and the well known Kronecker product of matrices. We also introduce the concept of Z(n)-property for digraphs in order to study this relation ...
    • MQ primavera 2018 

      Espona Dones, Margarida; López Masip, Susana Clara; Rué Perna, Juan José (Universitat Politècnica de Catalunya, 2018-04-11)
      Exam
      Restricted access to the UPC academic community
    • On the beta-number of forests with isomorphic components 

      Ichishima, R.; López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Oshima, Akito (2018)
      Article
      Open Access
      The beta-number, ß (G), of a graph G is defined to be either the smallest positive integer n for which there exists an injective function f : V (G) ¿ {0, 1, . . . , n} such that each uv ¿ E (G) is labeled |f (u) - f (v)| ...
    • Perfect (super) Edge-Magic Crowns 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Prabu, M. (2017-01-06)
      Article
      Open Access
      A graph G is called edge-magic if there is a bijective function f from the set of vertices and edges to the set {1,2,…,|V(G)|+|E(G)|} such that the sum f(x)+f(xy)+f(y) for any xy in E(G) is constant. Such a function is ...
    • Perfect edge-magic graphs 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2014-01-01)
      Article
      Restricted access - publisher's policy
      The study of the possible valences for edge-magic labelings of graphs has motivated us to introduce the concept of perfect edge-magic graphs. Intuitively speaking, an edge-magic graph is perfect edge-magic if all possible ...
    • Problemas abiertos sobre etiquetamientos super edge-magic y temas relacionados 

      López Masip, Susana Clara; Muntaner Batle, Francesc Antoni; Rius Font, Miquel (2010)
      Conference report
      Open Access
      El tema de los etiquetamientos de grafos ha experimentado un fuerte impulso en los últimos 40 años, muestra de ello son los dos libros dedicados en exclusiva a ellos, un completísimo artículo ”survey” y más de 1000 ...