Applicable Analysis and Discrete Mathematics Vol. 13, No 1 (April, 2019)

Online version (ISSN 2406-100X) posted on April 20, 2019.

Printed version (ISSN 1452-8630) appeared on April 25, 2019.

• Title:

  QUADRATURE WITH MULTIPLE NODES, POWER ORTHOGONALITY, AND MOMENT-PRESERVING SPLINE APPROXIMATION, PART II

  Authors:

  Gradimir Milovanović, M. S. Pranić, M. M. Spalević

  Classification:

  2000 Mathematical Subject Classification: 65D30, 41A15, 65D32

  Keywords:

  Keywords and phrases: Degree of precision, s- and sigma-ortogonal polynomials, Gauss-Turan quadrature rules, Quadratures with multiple nodes, Chebyshev polynomials

  Doi:

  DOI: https://doi.org/10.2298/AADM180730018M

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• Title:

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

  Authors:

  Olga Bodroža-Pantić, Harris Kwong, Rade Doroslovački, Milan Pantić

  Classification:

  2000 Mathematical Subject Classification: 05C30, 05C85, 05C38

  Keywords:

  Keywords and phrases: Hamiltonian cycles, Transfer matrix method, generating functions, thick grid cylinder

  Doi:

  DOI: https://doi.org/10.2298/AADM171215025B

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• Title:

  On an open problem of Simsek concerning the computation of a family of special numbers

  Authors:

  Aimin Xu

  Classification:

  2000 Mathematical Subject Classification: 11B83, 11B73, 05A19

  Keywords:

  Keywords and phrases: Explicit expression, Faa di Bruno's formula, Eulerian polynomial, Stirling number, Generating function

  Doi:

  DOI: https://doi.org/10.2298/AADM180804021X

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• Title:

  Acyclic Total Dominating Sets in Cubic Graphs

  Authors:

  Wayne Goddard and Michael A. Henning

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: independent dominating set, Cubic graph, total domination

  Doi:

  DOI: https://doi.org/10.2298/AADM170315009G

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• Title:

  Covering Complete Graphs by Monochromatically Bounded Sets

  Authors:

  Luka Milicevic

  Classification:

  2000 Mathematical Subject Classification: 05C15, 05C55, 05C12

  Keywords:

  Keywords and phrases: monochromatic component, bounded diameter

  Doi:

  DOI: https://doi.org/10.2298/AADM170204022M

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• Title:

  Variational analysis for Dirichlet impulsive fractional differential inclusions involving the p-Laplacian

  Authors:

  S. M. Kolagar, G. A. Afrouzi and J. R. Graef

  Classification:

  2000 Mathematical Subject Classification: 34A08, 26A33, 35A15

  Keywords:

  Keywords and phrases: Impulsive fractional inclusions, p-Laplacian, Variational methods

  Doi:

  DOI: https://doi.org/10.2298/AADM170410004K

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• Title:

  Complex ZNN for Computing Time-Varying Weighted Pseudo-inverses

  Authors:

  Predrag S. Stanimirović, Xue-Zhong Wang, Haifeng Ma

  Classification:

  2000 Mathematical Subject Classification: 15A09, 68T05, 65F20

  Keywords:

  Keywords and phrases: time-varying complex matrix, Zhang neural network, indefinite inner product, Weighted Minkowski inverse, convergence

  Doi:

  DOI: https://doi.org/10.2298/AADM170628019S

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• Title:

  ON THE SOLUTIONS OF A CLASS OF MAX-MIN-TYPE DIFFERENCE EQUATION SYSTEM

  Authors:

  Huili Ma and Haixia Wang

  Classification:

  2000 Mathematical Subject Classification: 39A10

  Keywords:

  Keywords and phrases: Max-type system, General solutions, periodic solutions

  Doi:

  DOI: https://doi.org/10.2298/AADM180108008M

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• Title:

  ON HAMILTONIAN DECOMPOSITIONS OF TENSOR PRODUCTS OF GRAPHS

  Authors:

  P. Paulraja and S. Sampath Kumar

  Classification:

  2000 Mathematical Subject Classification: 05C76, 05C51, 05C45

  Keywords:

  Keywords and phrases: Hamilton Cycle Decomposition, Tensor Product of Graphs, Cayley graphs

  Doi:

  DOI: https://doi.org/10.2298/AADM170803003P

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• Title:

  The fractional k-metric dimension of graphs

  Authors:

  Cong X. Kang, Ismael G. Yero, Eunjeong Yi

  Classification:

  2000 Mathematical Subject Classification: 05C12, 05C05

  Keywords:

  Keywords and phrases: k-metric dimension, fractional k-metric dimension, fractional metric dimension

  Doi:

  DOI: https://doi.org/10.2298/AADM170712023K

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• Title:

  Maximally and super connected multisplit graphs and digraphs

  Authors:

  Litao Guo, Guifu Su, Lutz Volkmann, Xingke Zhao

  Classification:

  2000 Mathematical Subject Classification: 05C12, 05C05

  Keywords:

  Keywords and phrases: the zeroth-order general Randi'{c} inde, super-edge-connected, Split graphs, Maximally edge-connected, digraphs

  Doi:

  DOI: https://doi.org/10.2298/AADM170716024G

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• Title:

  Convexity and monotonicity for the elliptic integrals of the first kind and applications

  Authors:

  Zhen-Hang Yang and Jing-Feng Tian

  Classification:

  2000 Mathematical Subject Classification: 33C05, 33E05

  Keywords:

  Keywords and phrases: convex, concave, Elliptic integral, Hypergeometric function, inequality

  Doi:

  DOI: https://doi.org/10.2298/AADM171015001Y

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• Title:

  CONNECTED DOMINATION GAME

  Authors:

  Mieczyslaw Borowiecki, Anna Fiedorowicz, Elzbieta Sidorowicz

  Classification:

  2000 Mathematical Subject Classification: 05C57, 05C69

  Keywords:

  Keywords and phrases: 2-tree, connected domination, connected domination game, domination games on graphs, Cartesian product

  Doi:

  DOI: https://doi.org/10.2298/AADM171126020B

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• Title:

  A Reverse Mulholland-Type Inequality in the Whole Plane with Multi-Parameters

  Authors:

  Michael Th. Rassias and Bicheng Yang

  Classification:

  2000 Mathematical Subject Classification: 26D15 47A07

  Keywords:

  Keywords and phrases: Mulholland-type inequality; parameter; weight coefficient; equivalent form; reverse

  Doi:

  DOI: https://doi.org/10.2298/AADM181224007R

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• Title:

  ON A NEW (p, q)-MATHIEU-TYPE POWER SERIES AND ITS APPLICATIONS

  Authors:

  Khaled Mehrez and Zivorad Tomovski

  Classification:

  2000 Mathematical Subject Classification: 31B10, 33C20, 33E20, 33E12.

  Keywords:

  Keywords and phrases: (p, q)−extended Beta function

  Doi:

  DOI: https://doi.org/10.2298/AADM190427005M

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• Title:

  INTERVAL OSCILLATION CRITERIA FOR IMPULSIVE CONFORMABLE PARTIAL DIFFERENTIAL EQUATIONS

  Authors:

  G.E. Chatzarakis, K. Logaarasi, T. Raja and V. Sadhasivam

  Classification:

  2000 Mathematical Subject Classification: 35R11, 35B05, 35R12

  Keywords:

  Keywords and phrases: impulse;, distributed delay;, oscillation;, partial conformable fde;

  Doi:

  DOI: https://doi.org/10.2298/AADM180613006C

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