Applicable Analysis and Discrete Mathematics Vol. 16, No 1 (April, 2022)

Online version (ISSN 2406-100X) posted on April 26, 2022.

Printed version (ISSN 1452-8630) appeared on April 26, 2022.

• Title:

  HOMOLOGY OF POLYOMINO TILINGS ON FLAT SURFACES

  Authors:

  Edin Liđan and Ðorđe Baralić

  Classification:

  2020 Mathematical Subject Classification: 05B50, 05B10, 52C20

  Keywords:

  Keywords and phrases: Polyomino, Combinatorial Grids, Flat Surfaces, Homology Group of Tiling

  Doi:

  DOI: https://doi.org/10.2298/AADM210307031L

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• Title:

  Granular Computing on Basic Digraphs

  Authors:

  Giampiero Chiaselotti, Tommaso Gentile, Federico Infusino

  Classification:

  2020 Mathematical Subject Classification: 05C20, 68R10

  Keywords:

  Keywords and phrases: Digraphs, Rough Set Theory, Granular Computing, Information Tables, Approximation Measures.

  Doi:

  DOI: https://doi.org/10.2298/AADM180615001C

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• Title:

  Comparison inequalities of Bernstein-type between polynomials with restricted zeros

  Authors:

  Abdullah Mir

  Classification:

  2020 Mathematical Subject Classification: 30A10

  Keywords:

  Keywords and phrases: Complex polynomial, Maximum Modulus Principle, Rouch´e’s theorem, Zeros.

  Doi:

  DOI: https://doi.org/10.2298/AADM200911029M

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• Title:

  Connected domination game: predomination, Staller-start game, and lexicographic products

  Authors:

  Vesna Iršič

  Classification:

  2020 Mathematical Subject Classification: 05C57, 05C69, 05C76

  Keywords:

  Keywords and phrases: Domination game, Connected Domination Game, Diameter, Lexicographic Product, Predomination.

  Doi:

  DOI: https://doi.org/10.2298/AADM190206002I

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• Title:

  ON RAPIDLY VARYING SEQUENCES

  Authors:

  Valentina Timotić, Dragan Djurčić and Ljubiša D.R. Kočinac

  Classification:

  2020 Mathematical Subject Classification: 26A12, 40A05

  Keywords:

  Keywords and phrases: Rapid equivalence, Class Rs,∞, Selection principles, Game theory

  Doi:

  DOI: https://doi.org/10.2298/AADM181107003T

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• Title:

  Refinements of Huygens - Wilker - Lazarović inequalities via the hyperbolic cosine polynomials

  Authors:

  Gabriel Bercu

  Classification:

  2020 Mathematical Subject Classification: 42B05, 26D05

  Keywords:

  Keywords and phrases: Trigonometric functions, Cosine polynomials, Hyperbolic cosine polynomials, Analytic inequalities, Even functions.

  Doi:

  DOI: https://doi.org/10.2298/AADM200403004B

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• Title:

  NOTE ON SOME CLASSES OF HOLOMORPHIC FUNCTIONS RELATED TO JACK’S AND SCHWARZ’S LEMMA

  Authors:

  Miodrag S. Mateljević,Nikola M. Mutavdžić, Bülent Nafi Örnek

  Classification:

  2020 Mathematical Subject Classification: 32A10, 30C80, 30C45

  Keywords:

  Keywords and phrases: Growth of analytic functions, Jack’s lemma, Schwarz lemma.

  Doi:

  DOI: https://doi.org/10.2298/AADM200319006M

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• Title:

  3-PATH VERTEX COVER AND DISSOCIATION NUMBER OF HEXAGONAL GRAPHS

  Authors:

  Rija Erveš and Aleksandra Tepeh

  Classification:

  2020 Mathematical Subject Classification:

  Keywords:

  Keywords and phrases: Vertex cover, k-path vertex cover, Dissociation number, Hexagonal graph

  Doi:

  DOI: https://doi.org/10.2298/AADM201009007E

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• Title:

  Counting subword patterns in permutations arising as flattened partitions of sets

  Authors:

  Toufik Mansour and Mark Shattuck

  Classification:

  2020 Mathematical Subject Classification: 05A15, 05A18

  Keywords:

  Keywords and phrases: Subword, Flattened partition, Pattern avoidance, Combinatorial statistic, Kernel method.

  Doi:

  DOI: https://doi.org/10.2298/AADM210223009M

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• Title:

  Commutative von Neumann regular rings are 1-Gröbner

  Authors:

  Zoran Z. Petrović and Maja Roslavcev

  Classification:

  2020 Mathematical Subject Classification: 13P10, 13F99, 13B25

  Keywords:

  Keywords and phrases: Gröbner bases, Von Neumann regular ring

  Doi:

  DOI: https://doi.org/10.2298/AADM210419030P

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• Title:

  FIXED POINT EQUATIONS WITH ABSTRACT VOLTERRA OPERATORS ON SPACES OF FUNCTIONS OF SEVERAL VARIABLES

  Authors:

  Adrian Petrusel and Ioan A. Rus

  Classification:

  2020 Mathematical Subject Classification: 47H10, 45N05, 47J25

  Keywords:

  Keywords and phrases: Abstract Volterra operator, Fixed point, Fibre contraction, Step by step contraction, Darboux-Ionescu problem.

  Doi:

  DOI: https://doi.org/10.2298/AADM180615016P

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• Title:

  Asymptotic and numerical aspects of the generalized Marcum function of the second kind

  Authors:

  Arpad Baricz, Nitin Bisht, Sanjeev Singh and V. Antony Vijesh

  Classification:

  2020 Mathematical Subject Classification: 33F05, 33C10

  Keywords:

  Keywords and phrases: Modified Bessel function of the second kind, Asymptotic expansion, Generalized Marcum function of the second kind, Recurrence relation, Laplace method.

  Doi:

  DOI: https://doi.org/10.2298/AADM201001008B

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• Title:

  Complete asymptotic expansions related to the probability density function of the $chi^{2}$-distribution

  Authors:

  Chao-Ping Chen and H. M. Srivastava

  Classification:

  2020 Mathematical Subject Classification: 62E17, 41A60, 33B15

  Keywords:

  Keywords and phrases: Gamma function, χ2-Distribution, Probability density function, Asymptotic expansion, Bell polynomials, Bernoulli numbers

  Doi:

  DOI: https://doi.org/10.2298/AADM210720015C

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• Title:

  ESTIMATES ON SOME QUADRATURE RULES VIA WEIGHTED HERMITE-HADAMARD INEQUALITY

  Authors:

  Josipa Barić, Ljiljanka Kvesić, Josip Pečarić and Mihaela Ribičić Penava

  Classification:

  2020 Mathematical Subject Classification: 26D15, 65D32, 65D30

  Keywords:

  Keywords and phrases: Hermite-Hadamard inequality, Higher order convex function, Harmonic sequence, One-point formula.

  Doi:

  DOI: https://doi.org/10.2298/AADM201127013B

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• Title:

  ENUMERATION OF HAMILTONIAN CYCLES ON A THICK GRID CYLINDER --- PART II: CONTRACTIBLE HAMILTONIAN CYCLES

  Authors:

  Olga Bodroža-Pantić, Harris Kwong, Jelena Đokić, Rade Doroslovački and Milan Pantić

  Classification:

  2020 Mathematical Subject Classification: 05C85

  Keywords:

  Keywords and phrases: Hamiltonian cycles, Transfer matrix method, Contractible cycle

  Doi:

  DOI: https://doi.org/10.2298/AADM200629027B

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