Applicable Analysis and Discrete Mathematics Vol. 10, No 2 (October, 2016)

Online version (ISSN 2406-100X) posted on November 10, 2016.

Printed version (ISSN 1452-8630) appeared on November 10, 2016.

• Title:

  VERSIONS OF EBERLEIN-ŠMULIAN AND AMIR-LINDENSTRAUSS THEOREMS IN THE FRAMEWORK OF CONDITIONAL SETS

  Authors:

  José M. Zapata

  Classification:

  2000 Mathematical Subject Classification: 46S99, 46B50, 62P05

  Keywords:

  Keywords and phrases: Conditional set theory, Conditional weak topology, Amir-Lindenstrauss theorem; Eberlein-Smulian theorem, Baire Category theorem

  Doi:

  DOI: 10.2298/AADM160721016Z

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• Title:

  SECTORIAL OPERATORS AND INERTIAL MANIFOLDS FOR PARTIAL FUNCTIONAL DIFFERENTIAL EQUATIONS IN ADMISSIBLE SPACES

  Authors:

  Nguyen Thieu Huy, Bui Xuan Quang

  Classification:

  2000 Mathematical Subject Classification: 35B42, 35R10, 35K58

  Keywords:

  Keywords and phrases: Inertial manifolds, partial functional differential equations, admissible spaces, Lyapunov-Perron method, analytic semigroups

  Doi:

  DOI: 10.2298/AADM160808018H

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• Title:

  Gabor frames and asymptotic behavior of Schwartz distributions

  Authors:

  Sanja Kostadinova, Katerina Saneva, Jasson Vindas

  Classification:

  2000 Mathematical Subject Classification: 46F12, 81S30, 40E05

  Keywords:

  Keywords and phrases: Asymptotics of generalized functions, S-asymptotic behavior, Gabor frames

  Doi:

  DOI: 10.2298/AADM160511011K

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• Title:

  COUNTING INTEGER REDUCIBLE POLYNOMIALS WITH BOUNDED MEASURE

  Authors:

  Artūras Dubickas

  Classification:

  2000 Mathematical Subject Classification: 11R09, 11R11, 11R04

  Keywords:

  Keywords and phrases: Reducible polynomials, Mahler measure, polynomials with bounded zeros, totally real algebraic integers

  Doi:

  DOI: 10.2298/AADM160714014D

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• Title:

  An additive problem in finite cyclic rings

  Authors:

  Nguyen Minh Sang, Pham Van Thang, Le Anh Vinh

  Classification:

  2000 Mathematical Subject Classification: 11N69, 11N25, 11A07

  Keywords:

  Keywords and phrases: Primitive roots, finite fields, difference sets

  Doi:

  DOI: 10.2298/AADM160827019S

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• Title:

  On the solutions to a generalized fractional Cauchy problem

  Authors:

  Barbara Łupińska, Tatiana Odzijewicz, Ewa Schmeidel

  Classification:

  2000 Mathematical Subject Classification: 34A08, 26A33

  Keywords:

  Keywords and phrases: Fractional calculus, fractional Cauchy problem

  Doi:

  DOI: 10.2298/AADM161005023L

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• Title:

  The Relationship Between Discrete Sequential Fractional Delta Differences and Convexity

  Authors:

  Christopher S. Goodrich

  Classification:

  2000 Mathematical Subject Classification: 26A51, 39A70, 39A12

  Keywords:

  Keywords and phrases: Discrete fractional calculus, convexity, concavity, sequential fractional delta difference, Taylor monomial

  Doi:

  DOI: 10.2298/AADM161005025G

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• Title:

  Discrete Hermite-Hadamard Inequality and Its Applications

  Authors:

  Aykut Arslan, Ferhan M. Atici

  Classification:

  2000 Mathematical Subject Classification: 26B25, 39A70, 34N05

  Keywords:

  Keywords and phrases: Time scale calculus, convex function, Hermite-Hadamard inequality

  Doi:

  DOI: 10.2298/AADM160617013A

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• Title:

  A SIMPLE NECESSARY AND SUFFICIENT CONDITION FOR THE ENRICHMENT OF THE CROUZEIX-RAVIART ELEMENT

  Authors:

  Mostafa Bachar, Allal Guessab

  Classification:

  2000 Mathematical Subject Classification: 65D30, 65N30

  Keywords:

  Keywords and phrases: Enriched finite element method, nonconforming finite element, the enriched Crouzeix-Raviart element, multivariate trapezoidal cubature formulas, error estimates

  Doi:

  DOI: 10.2298/AADM160610012B

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• Title:

  Some Characterizations of Exponential Distribution Based on Order Statistics

  Authors:

  Bojana Milošević, Marko Obradović

  Classification:

  2000 Mathematical Subject Classification: 62E10, 62G30

  Keywords:

  Keywords and phrases: Characterization, order statistics, exponential distribution, Stirling numbers of the second kind

  Doi:

  DOI: 10.2298/AADM160421010M

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• Title:

  The Relation between Tree Size Complexity and Probability for Boolean Functions Generated by Uniform Random Trees

  Authors:

  Veronika Daxner, Antoine Genitrini, Bernhard Gittenberger, Cécile Mailler

  Classification:

  2000 Mathematical Subject Classification: 05A15, 06E30, 60C05

  Keywords:

  Keywords and phrases: Boolean functions, Probability distribution, Random Boolean formulas, Tree size complexity, Analytic combinatorics

  Doi:

  DOI: 10.2298/AADM160715015D

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• Title:

  Fault-tolerant design in triangular lattice networks

  Authors:

  Ayesha Shabbir, Tudor Zamfirescu

  Classification:

  2000 Mathematical Subject Classification: 05C38

  Keywords:

  Keywords and phrases: Triangular lattice networks, longest paths and cycles, torus, Möbius strip, fault-tolerant design

  Doi:

  DOI: 10.2298/AADM161013027S

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• Title:

  Incidence graphs constructed from t-designs

  Authors:

  Xu Yang, Weijun Liu, Henry Liu, Lihua Feng

  Classification:

  2000 Mathematical Subject Classification: 05C51, 05C50

  Keywords:

  Keywords and phrases: s-flag-transitivity, Semisymmetric graphs, Connectedness, Hyperenergetic graphs

  Doi:

  DOI: 10.2298/AADM160914021Y

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• Title:

  General and acyclic sum-list-colouring of graphs

  Authors:

  Ewa Drgas-Burchardt, Agata Drzystek

  Classification:

  2000 Mathematical Subject Classification: 05C15, 05C30

  Keywords:

  Keywords and phrases: Sum-list chromatic number, acyclic colourings, bipartite graphs, induced hereditary graph classes

  Doi:

  DOI: 10.2298/AADM161011026D

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• Title:

  Total Roman Domination in Graphs

  Authors:

  Hossein Abdollahzadeh Ahangar, Michael A. Henning, Vladimir Samodivkin, Ismael G. Yero

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Roman domination, Total Roman domination, Total domination, Domination

  Doi:

  DOI: 10.2298/AADM160802017A

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• Title:

  Dominating sequences under atomic changes with applications in Sierpiński and interval graphs

  Authors:

  Boštjan Brešar, Tanja Gologranc, Tim Kos

  Classification:

  2000 Mathematical Subject Classification: 05C69, 05C85

  Keywords:

  Keywords and phrases: Grundy domination number, Sierpiński graphs, interval graphs

  Doi:

  DOI: 10.2298/AADM161005024L

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• Title:

  Chordal, interval, and circular-arc product graphs

  Authors:

  Tatiana Romina Hartinger

  Classification:

  2000 Mathematical Subject Classification: 05C76, 05C75, 05C62

  Keywords:

  Keywords and phrases: Cartesian product, direct product, strong product, lexicographic product, structural characterization

  Doi:

  DOI: doi:10.2298/AADM160913020H

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• Title:

  Reflexive cacti: a survey

  Authors:

  Bojana Mihailović, Marija Rašajski, Zoran Stanić

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Adjacency matrix, second largest eigenvalue, reflexive graph, cactus, regular graph

  Doi:

  DOI: doi:10.2298/AADM160929022M

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• Title:

  Editorial - 10 Years of AADM

  Authors:

  Milan Merkle, Mark Daniel Ward

  Doi:

  Doi: 10.2298/AADM161031028M

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