Browsing 2017 by Title

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  • The edge chromatic number of ΓI (R) 
    Kala, R.; Mallika, A.; Selvakumar, K. (2017)
    For a commutative ring R and an ideal I of R, the ideal-based zero-divisor graph is the undirected graph ΓI (R) with vertices {x ∈ R−I : xy ∈ I for some y ∈ R−I}, where distinct vertices x and y are adjacent if and only ...
  • The R∞ property for Houghton’s groups 
    Jo, J. H.; Lee, J. B.; Lee, S. R. (2017)
    We study twisted conjugacy classes of a family of groups which are called Houghton’s groups Hn (n ∈ N), the group of translations of n rays of discrete points at infinity. We prove that the Houghton’s groups Hn have the ...
  • Total global neighbourhood domination 
    S. V. S. R., Raju (2017)
    A subset D of the vertex set of a connected graph G is called a total global neighbourhood dominating set(tgnd-set) of G if and only if D is a total dominating set of G as well as GN , where GN is the neighbourhood graph ...
  • Twin signed domination numbers in directed graphs 
    Atapour, M.; Norouzian, S.; Sheikholeslami, S.M.; Volkmann, L. (ДЗ"ЛНУ імені Тараса Шевченко", 2017)
    Let D = (V, A) be a finite simple directed graph (shortly digraph). A function f : V −→ {−1, 1} is called a twin signed dominating function (TSDF) if f(N −[v]) > 1 and f(N +[v]) > 1 for each vertex v ∈ V . The twin signed ...
  • Weak factorization systems and fibrewise regular injectivity for actions of pomonoids on posets 
    Farsad, F.; Madanshekaf, A. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2017)
    Let S be a pomonoid. In this paper, Pos-S, the category of S-posets and S-poset maps, is considered. One of the main aims of this paper is to draw attention to the notion of weak factorization systems in Pos-S. We show ...

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