Applicable Analysis and Discrete Mathematics Vol. 7, No 2 (October, 2013)

Online version (ISSN 2406-100X) posted on September 13, 2013.

Printed version (ISSN 1452-8630) appeared on September 12, 2013.

• Title:

  ASYMPTOTICS OF THE STIRLING NUMBERS OF THE SECOND KIND REVISITED

  Authors:

  Guy Louchard

  Classification:

  2000 Mathematical Subject Classification: 05A16, 60C05, 60F05

  Keywords:

  Keywords and phrases: Stirling numbers of the second kind, Asymptotics, Saddle point method, Multiseries expansions, Analytic Combinatorics

  Doi:

  DOI: 10.2298/AADM130612011L

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• Title:

  COMPOSITIONS AS NON-ALTERNATING SEQUENCES OF PARTITIONS

  Authors:

  Aubrey Blecher, Charlotte Brennan, Toufik Mansour

  Classification:

  2000 Mathematical Subject Classification: 05A15

  Keywords:

  Keywords and phrases: Compositions, partitions, generating functions

  Doi:

  DOI: 10.2298/AADM130515008B

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• Title:

  EXTENDING BICOLORINGS FOR STEINER TRIPLE SYSTEMS

  Authors:

  M. Gionfriddo, E. Guardo, L. Milazzo

  Classification:

  2000 Mathematical Subject Classification: 05C15, 51E10, 05B05

  Keywords:

  Keywords and phrases: Mixed Hypergraphs, Steiner Triple Systems, Colorings

  Doi:

  DOI: 10.2298/AADM130827019G

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• Title:

  REGULAR GRAPHS WITH SMALL SECOND LARGEST EIGENVALUE

  Authors:

  Tamara Koledin, Zoran Stanić

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Graph spectrum, regular graphs, bounded eigenvalues, triangle-free graphs, bipartite graphs

  Doi:

  DOI: 10.2298/AADM130710013K

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• Title:

  ON THE NULLITY OF CONNECTED GRAPHS WITH LEAST EIGENVALUE AT LEAST -2

  Authors:

  Jiang Zhou, Lizhu Sun, Hongmei Yao, Changjiang Bu

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Nullity, generalized line graph, adjacency matrix, signless Laplacian matrix

  Doi:

  DOI: 10.2298/AADM130710014Z

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• Title:

  ROMAN DOMINATION IN CARTESIAN PRODUCT GRAPHS AND STRONG PRODUCT GRAPHS

  Authors:

  Ismael González Yero, Juan Alberto Rodríguez-Velázquez

  Classification:

  2000 Mathematical Subject Classification: 05C69, 05C70, 05C76

  Keywords:

  Keywords and phrases: Domination number, Roman domination number, Cartesian product graphs, strong product graphs

  Doi:

  DOI: 10.2298/AADM130813017G

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• Title:

  TWIN DOMINATION AND TWIN IRREDUNDANCE IN DIGRAPHS

  Authors:

  S. Arumugam, Karam Ebadi, L. Sathikala

  Classification:

  2000 Mathematical Subject Classification: 05C20, 05C69

  Keywords:

  Keywords and phrases: Directed graph, twin dominating set, twin irredundant set, twin domination number, twin irredundance number

  Doi:

  DOI: 10.2298/AADM130429007A

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• Title:

  PRODUCT DISTANCE MATRIX OF A GRAPH AND SQUARED DISTANCE MATRIX OF A TREE

  Authors:

  R. B. Bapat, S. Sivasubramanian

  Classification:

  2000 Mathematical Subject Classification: 15A15, 05C05

  Keywords:

  Keywords and phrases: Distance, trees, degrees, block, line graph

  Doi:

  DOI: 10.2298/AADM130415006B

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• Title:

  ON THE METRIC DIMENSION AND FRACTIONAL METRIC DIMENSION OF THE HIERARCHICAL PRODUCT OF GRAPHS

  Authors:

  Min Feng, Kaishun Wang

  Classification:

  2000 Mathematical Subject Classification: 05C12

  Keywords:

  Keywords and phrases: Resolving set, metric dimension, resolving function, fractional metric dimension, hierarchical product, binomial tree

  Doi:

  DOI: 10.2298/AADM130521009F

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• Title:

  ON SOLUTIONS OF Q-DIFFERENCE RICCATI EQUATIONS WITH RATIONAL COEFFICIENTS

  Authors:

  Yeyang Jiang, Zongxuan Chen

  Classification:

  2000 Mathematical Subject Classification: 30D35, 39B12

  Keywords:

  Keywords and phrases: Hypertranscendency, value distribution, rational solution

  Doi:

  DOI: 10.2298/AADM130722015J

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• Title:

  MULTIPLE POSITIVE SOLUTIONS FOR DISCRETE p-LAPLACIAN EQUATIONS WITH POTENTIAL TERM

  Authors:

  Jong-Ho Kim, Jea-Hyun Park, June-Yub Lee

  Classification:

  2000 Mathematical Subject Classification: 39A12, 39A20

  Keywords:

  Keywords and phrases: Discrete boundary value problems, discrete p-Laplacian, graph Laplacian, Multiple solutions

  Doi:

  DOI: 10.2298/AADM130612012K

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• Title:

  EXPONENTIAL FUNCTIONS OF DISCRETE FRACTIONAL CALCULUS

  Authors:

  Nihan Acar, Ferhan M. Atıcı

  Classification:

  2000 Mathematical Subject Classification: 39A12, 34A25, 26A33

  Keywords:

  Keywords and phrases: Discrete fractional calculus, discrete Mittag-Leffler functions, sequential fractional difference equations

  Doi:

  DOI: 10.2298/AADM130828020A

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• Title:

  ON A FINITE SUM WITH POWERS OF COSINES

  Authors:

  C. M. da Fonseca, Victor Kowalenko

  Classification:

  2000 Mathematical Subject Classification: 11B68, 33B10, 11B83

  Keywords:

  Keywords and phrases: Bernoulli polynomial, cosecant number, cosine series, Euler polynomial, finite sum

  Doi:

  DOI: 10.2298/AADM130822018D

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• Title:

  SIXTH ORDER DIFFERENTIAL OPERATORS WITH EIGENVALUE DEPENDENT BOUNDARY CONDITIONS

  Authors:

  Manfred Möller, Bertin Zinsou

  Classification:

  2000 Mathematical Subject Classification: 34B07, 34B09, 34L05

  Keywords:

  Keywords and phrases: Sixth order dierential operator, self-adjoint, boundary condition, eigen- value, quadratic operator pencil

  Doi:

  DOI: 10.2298/AADM130608010M

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• Title:

  AN EFFICIENT DERIVATIVE FREE ITERATIVE METHOD FOR SOLVING SYSTEMS OF NONLINEAR EQUATIONS

  Authors:

  Janak Raj Sharma, Himani Arora

  Classification:

  2000 Mathematical Subject Classification: 65H10, 65Y20, 41A58

  Keywords:

  Keywords and phrases: Systems of nonlinear equations, iterative methods, derivative free methods, order of convergence, computational efficiency

  Doi:

  DOI: 10.2298/AADM130725016S

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