Applicable Analysis and Discrete Mathematics Vol. 6, No 1 (April, 2012)

Online version (ISSN 2406-100X) posted on March 26, 2012.

Printed version (ISSN 1452-8630) appeared on April 2, 2012.

• Title:

  GRAPH SPECTRAL TECHNIQUES IN COMPUTER SCIENCES

  Authors:

  Branko Arsić, Dragoš Cvetković, Slobodan K. Simić, Milan Škarić

  Classification:

  2000 Mathematical Subject Classification: 05C50, 68P20, 68R10

  Keywords:

  Keywords and phrases: Spectral graph theory, computer science, internet, complex networks, spectral clustering

  Doi:

  DOI: 10.2298/AADM111223025A

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• Title:

  Edge Bipartiteness and Signless Laplacian Spread of Graphs

  Authors:

  Yi-Zheng Fan, Shaun Fallat

  Classification:

  2000 Mathematical Subject Classification: 05C50, 15A18

  Keywords:

  Keywords and phrases: Graph, edge bipartiteness, signless Laplacian matrix, spread

  Doi:

  DOI: 10.2298/AADM120127003F

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• Title:

  ATOMS AND CLIQUE SEPARATORS IN GRAPH PRODUCTS

  Authors:

  Bijo S. Anand, Kannan Balakrishnan, Manoj Changat, Iztok Peterin

  Classification:

  2000 Mathematical Subject Classification: 05C69, 05C76

  Keywords:

  Keywords and phrases: Clique separator, atom, graph products

  Doi:

  DOI: 10.2298/AADM111230001A

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• Title:

  Minimal doubly resolving sets and the strong metric dimension of Hamming graphs

  Authors:

  Jozef Kratica, Vera Kovačević-Vujčić, Mirjana Čangalović, Milica Stojanović

  Classification:

  2000 Mathematical Subject Classification: 05C75, 05C12

  Keywords:

  Keywords and phrases: Hamming graphs, metric dimension, minimal doubly resolving set, strong metric dimension, graph theory

  Doi:

  DOI: 10.2298/AADM111116023K

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• Title:

  Relaxations of Hall’s Condition: Optimal batch codes with multiple queries

  Authors:

  Csilla Bujtás, Zsolt Tuza

  Classification:

  2000 Mathematical Subject Classification: 05D05, 05C65, 68R05

  Keywords:

  Keywords and phrases: System of representatives, Hall-type condition, Dual system, Combinatorial batch code

  Doi:

  DOI: 10.2298/AADM111130024B

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• Title:

  Generalized Lucas cubes

  Authors:

  Aleksandar Ilić, Sandi Klavžar, Yoomi Rho

  Classification:

  2000 Mathematical Subject Classification: 05C12, 05C75

  Keywords:

  Keywords and phrases: Hypercube, Lucas cube, generalized Lucas cube, isometric embedding

  Doi:

  DOI: 10.2298/AADM120108002I

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• Title:

  Asymptotic analysis of the Nörlund and Stirling polynomials

  Authors:

  Mark Daniel Ward

  Classification:

  2000 Mathematical Subject Classification: 05A16, 11B68, 68W40

  Keywords:

  Keywords and phrases: Asymptotic analysis, Nörlund polynomials, Stirling polynomials, analytic combinatorics

  Doi:

  DOI: 10.2298/AADM120219006W

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• Title:

  ON THE DISTRIBUTION OF A LINEAR SEQUENCE ASSOCIATED TO SUM OF DIVISORS EVALUATED AT POLYNOMIAL ARGUMENTS

  Authors:

  Mehdi Hassani

  Classification:

  2000 Mathematical Subject Classification: 11K06, 11N36, 11N37

  Keywords:

  Keywords and phrases: Divisor function, distribution modulo 1, sieve method

  Doi:

  DOI: 10.2298/AADM120207005H

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• Title:

  AN ALTERNATE CIRCULAR SUMMATION FORMULA OF THETA FUNCTIONS AND ITS APPLICATIONS

  Authors:

  Jun-Ming Zhu

  Classification:

  2000 Mathematical Subject Classification: 11F27

  Keywords:

  Keywords and phrases: Theta function, circular summation, elliptic function, Ramanujan, modular equation

  Doi:

  DOI: 10.2298/AADM120204004Z

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• Title:

  WEIGHTED SPACE METHOD FOR THE STABILITY OF SOME NONLINEAR EQUATIONS

  Authors:

  Liviu Cădariu, Laura Găvruţa, Paşc Găvruţa

  Classification:

  2000 Mathematical Subject Classification: 39B82, 47H10, 47J05

  Keywords:

  Keywords and phrases: Generalized Hyers-Ulam-Rassias stability, Nonlinear functional equations, Volterra integral equation, Weighted space method

  Doi:

  DOI: 10.2298/AADM120309007C

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• Title:

  Exponential dichotomies for linear discrete-time systems in Banach spaces

  Authors:

  Ioan-Lucian Popa, Mihail Megan, Traian Ceauşu

  Classification:

  2000 Mathematical Subject Classification: 34D05, 34D09

  Keywords:

  Keywords and phrases: Uniform exponential dichotomy, nonuniform exponential dichotomy, exponential dichotomy, strong exponential dichotomy.

  Doi:

  DOI: 10.2298/AADM120319008P

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• Title:

  BOOK REVIEW

  Authors:

  Classification:

  2000 Mathematical Subject Classification:

  Keywords:

  Keywords and phrases:

  Doi:

  DOI:

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