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Browsing Algebra and Discrete Mathematics. - № 1 (28). - 2019 by Title

Browsing Algebra and Discrete Mathematics. - № 1 (28). - 2019 by Title

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  • Exact sequences of graphs Ahmad Abbasi and Ali Ramin 
    Protasov, I. V. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, exact sequences of graphs are defined and investigated. Considering some functors on the category of graphs, we study some conditions to determine exactness of functors.
  • Geometry of flocks and n-ary groups Sonia Dog 
    Protasov, I. V. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Semiabelinan flocks and n-ary groups are charac- terized by the properties of parallelograms and vectors of the affine geometry defined by these flocks and n-ary groups.
  • Lie algebras of derivations with large abelian ideals 
    Klymenko, I. S.; Lysenko, S. V.; Petravchuk, A. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
  • On the existence of degree-magic labellings of the n-fold self-union of complete bipartite graphs 
    Simson, D. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Magic rectangles are a classical generalization of the well-known magic squares, and they are related to graphs. A graph G is called degree-magic if there exists a labelling of the edges by integers 1, 2, . . . , |E(G)| ...
  • On the zero forcing number of graphs and their splitting graphs 
    Chacko, B.; Dominic, C.; Premodkumar, K. P. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In [10], the notion of the splitting graph of a graph was introduced. In this paper we compute the zero forcing number of the splitting graph of a graph and also obtain some bounds besides finding the exact value of ...
  • Paley-type graphs of order a product of two distinct primes 
    Das, A . (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    In this paper, we initiate the study of Paley-type graphs ΓN modulo N = pq, where p, q are distinct primes of the form 4k + 1. It is shown that ΓN is an edge-regular, symmetric, Eulerian and Hamiltonian graph. Also, the ...
  • Representations of strongly algebraically closed algebras A. Molkhasi and K. P. Shum 
    Simson, D. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    We introduce the notion of q′-compactness for MV-algebras. One of the main results of the paper is a characterization of a class of orthomodular lattices that are horizontal sums of strongly algebraically closed algebras.
  • Some combinatorial characteristics of closure operations Nguyen Hoang Son and Vu Duc Thi 
    Artamonov, V. A. (ДЗ "ЛНУ імені Тараса Шевченка", 2019)
    Functional dependencies (FDs) play an important role the relational database theory. The equivalence of the family of FDs is one of the hottest topics that get a lot of attention and interest currently. There are ...

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