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    Wyświetlanie 1-7 z 7
    Tytuł:
    Distinguishing graphs by the number of homomorphisms
    Autorzy:
    Fisk, Steve
    Powiązania:
    https://bibliotekanauki.pl/articles/971917.pdf
    Data publikacji:
    1995
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    graph homomorphism
    chromatic number
    Opis:
    A homomorphism from one graph to another is a map that sends vertices to vertices and edges to edges. We denote the number of homomorphisms from G to H by |G → H|. If is a collection of graphs, we say that distinguishes graphs G and H if there is some member X of such that |G → X | ≠ |H → X|. is a distinguishing family if it distinguishes all pairs of graphs.
    We show that various collections of graphs are a distinguishing family.
    Źródło:
    Discussiones Mathematicae Graph Theory; 1995, 15, 1; 73-75
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Families of strongly projective graphs
    Autorzy:
    Larose, Benoit
    Powiązania:
    https://bibliotekanauki.pl/articles/743360.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    distance-transitive graphs
    graph homomorphism
    graph product
    Opis:
    We give several characterisations of strongly projective graphs which generalise in many respects odd cycles and complete graphs [7]. We prove that all known families of projective graphs contain only strongly projective graphs, including complete graphs, odd cycles, Kneser graphs and non-bipartite distance-transitive graphs of diameter d ≥ 3.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2002, 22, 2; 271-292
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Partial covers of graphs
    Autorzy:
    Fiala, Jirí
    Kratochvíl, Jan
    Powiązania:
    https://bibliotekanauki.pl/articles/743545.pdf
    Data publikacji:
    2002
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    covering projection
    computational complexity
    graph homomorphism
    Opis:
    Given graphs G and H, a mapping f:V(G) → V(H) is a homomorphism if (f(u),f(v)) is an edge of H for every edge (u,v) of G. In this paper, we initiate the study of computational complexity of locally injective homomorphisms called partial covers of graphs. We motivate the study of partial covers by showing a correspondence to generalized (2,1)-colorings of graphs, the notion stemming from a practical problem of assigning frequencies to transmitters without interference. We compare the problems of deciding existence of partial covers and of full covers (locally bijective homomorphisms), which were previously studied.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2002, 22, 1; 89-99
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    More on linear and metric tree maps
    Autorzy:
    Kozerenko, Sergiy
    Powiązania:
    https://bibliotekanauki.pl/articles/1397335.pdf
    Data publikacji:
    2021
    Wydawca:
    Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
    Tematy:
    Markov graph
    metric map
    non-expanding map
    linear map
    graph homomorphism
    Opis:
    We consider linear and metric self-maps on vertex sets of finite combinatorial trees. Linear maps are maps which preserve intervals between pairs of vertices whereas metric maps are maps which do not increase distances between pairs of vertices. We obtain criteria for a given linear or a metric map to be a positive (negative) under some orientation of the edges in a tree, we characterize trees which admit maps with Markov graphs being paths and prove that the converse of any partial functional digraph is isomorphic to a Markov graph for some suitable map on a tree.
    Źródło:
    Opuscula Mathematica; 2021, 41, 1; 55-70
    1232-9274
    2300-6919
    Pojawia się w:
    Opuscula Mathematica
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Cryptography with right-angled Artin groups
    Autorzy:
    Flores, R.
    Kahrobaei, D.
    Powiązania:
    https://bibliotekanauki.pl/articles/375820.pdf
    Data publikacji:
    2016
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    authentication schemes
    group homomorphism
    graph homomorphism
    schematy uwierzytelniania
    homomorfizm grup
    homeomorfizm grafów
    Opis:
    In this paper we propose right-angled Artin groups as a platform for secret sharing schemes based on the efficiency (linear time) of the word problem. Inspired by previous work of Grigoriev-Shpilrain in the context of graphs, we define two new problems: Subgroup Isomorphism Problem and Group Homomorphism Problem. Based on them, we also propose two new authentication schemes. For right-angled Artin groups, the Group Homomorphism and Graph Homomorphism problems are equivalent, and the later is known to be NP-complete. In the case of the Subgroup Isomorphism problem, we bring some results due to Bridson who shows there are right-angled Artin groups in which this problem is unsolvable.
    Źródło:
    Theoretical and Applied Informatics; 2016, 28, 3; 8-16
    1896-5334
    Pojawia się w:
    Theoretical and Applied Informatics
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    L(2, 1)-Labelings of Some Families of Oriented Planar Graphs
    Autorzy:
    Sen, Sagnik
    Powiązania:
    https://bibliotekanauki.pl/articles/30147217.pdf
    Data publikacji:
    2014-02-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    homomorphism
    planar graph
    girth
    partial k-tree
    outerplanar graph
    cactus
    2-dipath L(2, 1)-labeling
    oriented L(2, 1)-labeling
    Opis:
    In this paper we determine, or give lower and upper bounds on, the 2-dipath and oriented L(2, 1)-span of the family of planar graphs, planar graphs with girth 5, 11, 16, partial k-trees, outerplanar graphs and cacti.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2014, 34, 1; 31-48
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    The Quest for A Characterization of Hom-Properties of Finite Character
    Autorzy:
    Broere, Izak
    Matsoha, Moroli D.V.
    Heidema, Johannes
    Powiązania:
    https://bibliotekanauki.pl/articles/31340894.pdf
    Data publikacji:
    2016-05-01
    Wydawca:
    Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
    Tematy:
    (countable) graph
    homomorphism (of graphs)
    property of graphs
    hom-property
    (finitely-)induced-hereditary property
    finitely determined property
    (weakly) finite character
    axiomatizable property
    compactness theorems
    core
    connectedness
    chromatic number
    clique number
    independence number
    dominating set
    Opis:
    A graph property is a set of (countable) graphs. A homomorphism from a graph \( G \) to a graph \( H \) is an edge-preserving map from the vertex set of \( G \) into the vertex set of \( H \); if such a map exists, we write \( G \rightarrow H \). Given any graph \( H \), the hom-property \( \rightarrow H \) is the set of \( H \)-colourable graphs, i.e., the set of all graphs \( G \) satisfying \( G \rightarrow H \). A graph property \( mathcal{P} \) is of finite character if, whenever we have that \( F \in \mathcal{P} \) for every finite induced subgraph \( F \) of a graph \( G \), then we have that \( G \in \mathcal{P} \) too. We explore some of the relationships of the property attribute of being of finite character to other property attributes such as being finitely-induced-hereditary, being finitely determined, and being axiomatizable. We study the hom-properties of finite character, and prove some necessary and some sufficient conditions on \( H \) for \( \rightarrow H \) to be of finite character. A notable (but known) sufficient condition is that \( H \) is a finite graph, and our new model-theoretic proof of this compactness result extends from hom-properties to all axiomatizable properties. In our quest to find an intrinsic characterization of those \( H \) for which \( \rightarrow H \) is of finite character, we find an example of an infinite connected graph with no finite core and chromatic number 3 but with hom-property not of finite character.
    Źródło:
    Discussiones Mathematicae Graph Theory; 2016, 36, 2; 479-500
    2083-5892
    Pojawia się w:
    Discussiones Mathematicae Graph Theory
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
      Wyświetlanie 1-7 z 7

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