Applicable Analysis and Discrete Mathematics Vol. 4, No 1 (April, 2010)

Electronic version posted on March 7, 2010.

Printed version appeared on March 12, 2010.

Miodrag S. Petković, Ljiljana D. Petković: FAMILIES OF OPTIMAL MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS: A SURVEY

2000 Mathematical Subject Classification: 65H05
Keywords and phrases: Multipoint methods, Optimal methods, Nonlinear equations, Computational efficiency, Kung-Traub\'s conjecture.

doi:10.2298/AADM100217015P

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Michael P. Knapp, Christos Xenophontos: Numerical analysis meets number theory: using rootfinding methods to calculate inverses mod $p^n$

2000 Mathematical Subject Classification: 11A07 (65-01)
Keywords and phrases: Newton\'s method, inverses modulo pn; secant method.

doi:10.2298/AADM100201012K

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Kecies Mohamed, Zerzaihi Tahar, Michael Knapp: HENSEL CODES OF SQUARE ROOTS OF P-ADIC NUMBERS

2000 Mathematical Subject Classification: 26E30. 34K28
Keywords and phrases: P-adic number, square root, Hensel code, fixed point, speed of convergence.

doi:10.2298/AADM1000009M

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Markus Kuba: On functions of Arakawa and Kaneko and multiple zeta functions

2000 Mathematical Subject Classification: 11M06, 40B05
Keywords and phrases: Multiple zeta values, finite multiple zeta values, multiple zeta star values, finite stufle identity.

doi:10.2298/AADM100126011K

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Wenchang Chu: ABEL\'S METHOD ON SUMMATION BY PARTS AND BALANCED q-SERIES IDENTITIES

2000 Mathematical Subject Classification: 33D15, 05A30
Keywords and phrases: Abel\'s lemma on summation by parts, basic hypergeometric series.

doi:10.2298/AADM1000006C

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Martin Zeiner: Convergence properties of the q-deformed binomial distribution

2000 Mathematical Subject Classification: Primary. 33D90; Secondary. 05A30, 60F05
Keywords and phrases: q-deformed binomial distribution, q-Poisson distribution, limit theorems, Euler-distribution, exponential distribution.

doi:10.2298/AADM100217016Z

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Arnold Knopfmacher, Toufik Mansour, Augustine Munagi, Helmut Prodinger: Staircase words and Chebyshev polynomials

2000 Mathematical Subject Classification: 68R05, 05A05, 05A15, 05A16
Keywords and phrases: Staircase word, staircase cyclic word, staircase necklace, Chebyshev polynomial, generating function, tridiagonal matrix.

doi:10.2298/AADM1000010K

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Bruce Bates, Martin Bunder, Keith Tognetti: Mirroring and Interleaving in the Paperfolding Sequence

2000 Mathematical Subject Classification: 11B37, 11B83
Keywords and phrases: Paperfolding, Binary Reflected Gray Code, Stern-Brocot tree.

doi:10.2298/AADM1000005B

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Vladimir Baltic: On the number of certain types of strongly restricted permutations

2000 Mathematical Subject Classification: 05A15, 05A05, 11B37, 15A15
Keywords and phrases: Restricted permutations, exact enumeration, recurrences, permanents.

doi:10.2298/AADM1000008B

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Khalil Tawbe: TWO SUBCLASSES OF 2-CONVEX POLYOMINOES: PROPERTIES FOR RECONSTRUCTION

2000 Mathematical Subject Classification: 52C10
Keywords and phrases: Discrete geometry, convex polyominoes, discrete tomography.

doi:10.2298/AADM1000007T

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Dragoš Cvetković, Slobodan K. Simić: TOWARDS A SPECTRAL THEORY OF GRAPHS BASED ON THE SIGNLESS LAPLACIAN, III

2000 Mathematical Subject Classification: 05C50
Keywords and phrases: Graph theory, graph spectra, adjacency matrix, Laplacian, signless Laplacian.

doi:10.2298/AADM1000001C

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Slobodan K. Simić, Zoran Stanić: On Q-integral (3,s)-semiregular bipartite graphs

2000 Mathematical Subject Classification: 05C50
Keywords and phrases: Signless Laplacian spectrum, integral eigenvalues, semiregular bipartite graphs.

doi:10.2298/AADM1000002S

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Zhihe Liang, Huijuan Zuo: ON THE GRACEFULNESS OF THE GRAPH P2m;2n

2000 Mathematical Subject Classification: 05C78
Keywords and phrases: Graph Pa,b, graph labelings, graceful graph, matrix.

doi:10.2298/AADM1000003L

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Nair Abreu, Oscar Rojo, Cláudia Justel: ALGEBRAIC CONNECTIVITY FOR SUBCLASSES OF CATERPILLARS

2000 Mathematical Subject Classification: 05C50, 15A48, 05C05
Keywords and phrases: Tree, Laplacian matrix, algebraic connectivity, diameter.

doi:10.2298/AADM1000004A

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D. A. Mojdeh, P. Firoozi: Characteristics of $(gamma, 3)$-critical graphs

2000 Mathematical Subject Classification: 05C69
Keywords and phrases: Vertex domination number, $(\\gamma, 3)-critical graph, edge connectivity.

doi:10.2298/AADM100206013M

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Changping Wang: Voting \'Against\' in regular and nearly regular graphs

2000 Mathematical Subject Classification: 05C75
Keywords and phrases: Negative function, maximal negative function, against number, lower against number, regular graph, nearly regular graph.

doi:10.2298/AADM100213014W

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