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Browsing Algebra and Discrete Mathematics. - № 2 (25). - 2018 by Title

Browsing Algebra and Discrete Mathematics. - № 2 (25). - 2018 by Title

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  • A random Bockstein operator 
    Zabka, M. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    As more of topology’s tools become popular in analyzing high-dimensional data sets, the goal of understanding the underlying probabilistic properties of these tools becomes even more important. While much attention has ...
  • Automorphisms of the endomorphism semigroup of a free abelian diband 
    Zhuchok, Yu. V. (ДЗ "Луганський національний університет імені Тараса Шевченка", 2018)
    We determine all isomorphisms between the endomorphism semigroups of free abelian dibands and prove that all automorphisms of the endomorphism semigroup of a free abelian diband are inner.
  • Cross-cap singularities counted with sign 
    Krzyżanowska, I. (2018)
    A method for computing the algebraic number of cross-cap singularities for mapping from m-dimensional com- pact manifold with boundary M ⊂ R m into R 2m−1 , m is odd, is presented. As an application, the ...
  • Enumeration of strong dichotomy patterns 
    Agustín -Aquino, O. A. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We apply the version of Pólya-Redfield theory obtained by White to count patterns with a given automorphism group to the enumeration of strong dichotomy patterns, that is, we count bicolor patterns of Z2k with respect to ...
  • Gram matrices and Stirling numbers of a class of diagram algebras 
    Bi, N. K. (2018)
    In the paper [6], we introduced Gram matrices for the signed partition algebras, the algebra of Z2-relations and the partition algebras. (s1, s2, r1, r2, p1, p2)-Stirling numbers of the second kind are also introduced ...
  • On certain homological invariant and its relation with Poincaré duality pairs 
    Andrade, M. G. C.; Gazon, A. B.; Lima, A. F. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    Let G be a group, S = {Si , i ∈ I} a non empty family of (not necessarily distinct) subgroups of infinite index in G and M a Z2G-module. In [4] the authors defined a homological invariant E∗(G, S, M), which is ...
  • On functional equations and distributive second order formulae with specialized quantifiers 
    Movsisyan, Yu. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    The structure of invertible algebras with distributive second order formulae with specialized quantifiers is given. Asa consequence, the applications for solutions of the some functional equations of distributivity on ...
  • On k-graceful labeling of pendant edge extension of complete bipartite graphs 
    Bhoumik, S.; Mitra, S. (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    For any two positive integers m, n, we denote the graph Km,n ⊙ K1 by G. Ma Ke-Jie proposed a conjecture [9] that pendant edge extension of a complete bipartite graph is a k- graceful graph for k > 2. In this paper we ...
  • Some more algebra on ultrafilters in metric spaces 
    Protasov, I . (ДЗ "ЛНУ імені Тараса Шевченка", 2018)
    We continue algebraization of the set of ultrafilters on a metric spaces initiated in [6]. In particular, we define and study metric counterparts of prime, strongly prime and right cancellable ultrafilters from the Stone-Čech ...
  • Square difference labeling of some union and disjoint union graphs 
    Sherman, Z. (2018)
    The paper deals with methods of constructing square difference labeling of caterpillars and graphs derived from two operations: path union of cycles and disjoint union of stars. The existence of the square difference ...
  • The growth function of the adding machine 
    Skochko, V. (2018)
    We compute the growth function of the generalized adding machine and show that its generating function is not algebraic.

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