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Wyszukujesz frazę "Galeana-Sánchez, H." wg kryterium: Autor

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    Wyświetlanie 1-6 z 6
    Tytuł:
    On independent sets and non-augmentable paths in directed graphs
    Autorzy:
    Galeana-Sánchez, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/744219.pdf
    Data publikacji:
    1998
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    digraph
    independent set
    directed path
    non-augmentable path
    Opis:
    We investigate sufficient conditions, and in case that D be an asymmetrical digraph a necessary and sufficient condition for a digraph to have the following property: "In any induced subdigraph H of D, every maximal independent set meets every non-augmentable path". Also we obtain a necessary and sufficient condition for any orientation of a graph G results a digraph with the above property. The property studied in this paper is an instance of the property of a conjecture of J.M. Laborde, Ch. Payan and N.H. Huang: "Every digraph contains an independent set which meets every longest directed path" (1982).
    Źródło:
    Discussiones Mathematicae Graph Theory; 1998, 18, 2; 171-181
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the existence of (k,l)-kernels in infinite digraphs: A survey
    Autorzy:
    Galeana-Sánchez, H.
    Hernández-Cruz, C.
    Powiązania:
    https://bibliotekanauki.pl/articles/30148241.pdf
    Data publikacji:
    2014-08-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    kernel
    k-kernel
    infinite digraph
    (k, l)-kernel
    Opis:
    Let D be a digraph, V (D) and A(D) will denote the sets of vertices and arcs of D, respectively. A (k, l)-kernel N of D is a k-independent (if u, v ∈ N, u 6= v, then d(u, v), d(v, u) ≥ k) and l-absorbent (if u ∈ V (D) − N then there exists v ∈ N such that d(u, v) ≤ l) set of vertices. A k-kernel is a (k, k −1)-kernel. This work is a survey of results proving sufficient conditions for the existence of (k, l)-kernels in infinite digraphs. Despite all the previous work in this direction was done for (2, 1)-kernels, we present many original results concerning (k, l)-kernels for distinct values of k and l. The original results are sufficient conditions for the existence of (k, l)- kernels in diverse families of infinite digraphs. Among the families that we study are: transitive digraphs, quasi-transitive digraphs, right/left pretransitive digraphs, cyclically k-partite digraphs, κ-strong digraphs, k-transitive digraphs, k-quasi-transitive digraphs.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2014, 34, 3; 431-466
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    A sufficient condition for the existence of k-kernels in digraphs
    Autorzy:
    Galeana-Sánchez, H.
    Rincón-Mejía, H.
    Powiązania:
    https://bibliotekanauki.pl/articles/744223.pdf
    Data publikacji:
    1998
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    digraph
    kernel
    k-kernel
    Opis:
    In this paper, we prove the following sufficient condition for the existence of k-kernels in digraphs: Let D be a digraph whose asymmetrical part is strongly conneted and such that every directed triangle has at least two symmetrical arcs. If every directed cycle γ of D with l(γ) ≢ 0 (mod k), k ≥ 2 satisfies at least one of the following properties: (a) γ has two symmetrical arcs, (b) γ has four short chords. Then D has a k-kernel.
    This result generalizes some previous results on the existence of kernels and k-kernels in digraphs. In particular, it generalizes the following Theorem of M. Kwaśnik [5]: Let D be a strongly connected digraph, if every directed cycle of D has length ≡ 0 (mod k), k ≥ 2. Then D has a k-kernel.
    Źródło:
    Discussiones Mathematicae Graph Theory; 1998, 18, 2; 197-204
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    KP-digraphs and CKI-digraphs satisfying the k-Meyniels condition
    Autorzy:
    Galeana-Sánchez, H.
    Neumann-Lara, V.
    Powiązania:
    https://bibliotekanauki.pl/articles/972038.pdf
    Data publikacji:
    1996
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    digraph
    kernel
    independent set of vertices
    absorbing set of vertices
    kernel-perfect digraph
    critical-kernel-imperfect digraph
    τ-system
    τ₁-system
    indepedent kernel modulo Q
    co-rooted tree
    τ-construction
    τ₁-construction
    Opis:
    A digraph D is said to satisfy the k-Meyniel’s condition if each odd directed cycle of D has at least k diagonals. The study of the k-Meyniel’s condition has been a source of many interesting problems, questions and results in the development of Kernel Theory. In this paper we present a method to construct a large variety of kernel-perfect (resp. critical kernel-imperfect) digraphs which satisfy the k-Meyniel’s condition.
    Źródło:
    Discussiones Mathematicae Graph Theory; 1996, 16, 1; 5-16
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Kernels in edge coloured line digraph
    Autorzy:
    Galeana-Sánchez, H.
    Pastrana Ramírez, L.
    Powiązania:
    https://bibliotekanauki.pl/articles/744205.pdf
    Data publikacji:
    1998
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    kernel
    kernel by monochromatic paths
    line digraph
    edge coloured digraph
    Opis:
    We call the digraph D an m-coloured digraph if the arcs of D are coloured with m colours. A directed path (or a directed cycle) is called monochromatic if all of its arcs are coloured alike. A set N ⊆ V(D) is said to be a kernel by monochromatic paths if it satisfies the two following conditions (i) for every pair of different vertices u, v ∈ N there is no monochromatic directed path between them and (ii) for every vertex x ∈ V(D)-N there is a vertex y ∈ N such that there is an xy-monochromatic directed path.
    Let D be an m-coloured digraph and L(D) its line digraph. The inner m-coloration of L(D) is the edge coloration of L(D) defined as follows: If h is an arc of D of colour c, then any arc of the form (x,h) in L(D) also has colour c.
    In this paper it is proved that if D is an m-coloured digraph without monochromatic directed cycles, then the number of kernels by monochromatic paths in D is equal to the number of kernels by monochromatic paths in the inner edge coloration of L(D).
    Źródło:
    Discussiones Mathematicae Graph Theory; 1998, 18, 1; 91-98
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    About (k, l)-Kernels, Semikernels and Grundy Functions in Partial Line Digraphs
    Autorzy:
    Balbuena, C.
    Galeana-Sánchez, H.
    Guevara, M.
    Powiązania:
    https://bibliotekanauki.pl/articles/31343207.pdf
    Data publikacji:
    2019-11-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    digraphs
    in-domination
    kernel
    Grundy function
    Opis:
    Let D be a digraph of minimum in-degree at least 1. We prove that for any two natural numbers k, l such that 1 ≤ l ≤ k, the number of (k, l)-kernels of D is less than or equal to the number of (k, l)-kernels of any partial line digraph ℒD. Moreover, if l < k and the girth of D is at least l +1, then these two numbers are equal. We also prove that the number of semikernels of D is equal to the number of semikernels of ℒD. Furthermore, we introduce the concept of (k, l)-Grundy function as a generalization of the concept of Grundy function and we prove that the number of (k, l)-Grundy functions of D is equal to the number of (k, l)-Grundy functions of any partial line digraph ℒD.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2019, 39, 4; 855-856
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-6 z 6

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