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

Online version (ISSN 2406-100X) posted on March 7, 2010.

Printed version (ISSN 1452-8630) appeared on March 12, 2010.

• Title:

  FAMILIES OF OPTIMAL MULTIPOINT METHODS FOR SOLVING NONLINEAR EQUATIONS: A SURVEY

  Authors:

  Miodrag S. Petković, Ljiljana D. Petković

  Classification:

  2000 Mathematical Subject Classification: 65H05

  Keywords:

  Keywords and phrases: Multipoint methods, Optimal methods, Nonlinear equations, Computational efficiency, Kung-Traub's conjecture

  Doi:

  DOI: 10.2298/AADM100217015P

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• Title:

  Numerical analysis meets number theory: using rootfinding methods to calculate inverses mod $p^n$

  Authors:

  Michael P. Knapp, Christos Xenophontos

  Classification:

  2000 Mathematical Subject Classification: 11A07 (65-01)

  Keywords:

  Keywords and phrases: Newton's method, inverses modulo pn; secant method

  Doi:

  DOI: 10.2298/AADM100201012K

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• Title:

  HENSEL CODES OF SQUARE ROOTS OF P-ADIC NUMBERS

  Authors:

  Kecies Mohamed, Zerzaihi Tahar, Michael Knapp

  Classification:

  2000 Mathematical Subject Classification: 26E30. 34K28

  Keywords:

  Keywords and phrases: P-adic number, square root, Hensel code, fixed point, speed of convergence

  Doi:

  DOI: 10.2298/AADM1000009M

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• Title:

  On functions of Arakawa and Kaneko and multiple zeta functions

  Authors:

  Markus Kuba

  Classification:

  2000 Mathematical Subject Classification: 11M06, 40B05

  Keywords:

  Keywords and phrases: Multiple zeta values, finite multiple zeta values, multiple zeta star values, finite stufle identity

  Doi:

  DOI: 10.2298/AADM100126011K

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• Title:

  ABEL'S METHOD ON SUMMATION BY PARTS AND BALANCED q-SERIES IDENTITIES

  Authors:

  Wenchang Chu

  Classification:

  2000 Mathematical Subject Classification: 33D15, 05A30

  Keywords:

  Keywords and phrases: Abel's lemma on summation by parts, basic hypergeometric series

  Doi:

  DOI: 10.2298/AADM1000006C

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• Title:

  Convergence properties of the q-deformed binomial distribution

  Authors:

  Martin Zeiner

  Classification:

  2000 Mathematical Subject Classification: Primary. 33D90; Secondary. 05A30, 60F05

  Keywords:

  Keywords and phrases: q-deformed binomial distribution, q-Poisson distribution, limit theorems, Euler-distribution, exponential distribution

  Doi:

  DOI: 10.2298/AADM100217016Z

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• Title:

  Staircase words and Chebyshev polynomials

  Authors:

  Arnold Knopfmacher, Toufik Mansour, Augustine Munagi, Helmut Prodinger

  Classification:

  2000 Mathematical Subject Classification: 68R05, 05A05, 05A15, 05A16

  Keywords:

  Keywords and phrases: Staircase word, staircase cyclic word, staircase necklace, Chebyshev polynomial, generating function, tridiagonal matrix

  Doi:

  DOI: 10.2298/AADM1000010K

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• Title:

  Mirroring and Interleaving in the Paperfolding Sequence

  Authors:

  Bruce Bates, Martin Bunder, Keith Tognetti

  Classification:

  2000 Mathematical Subject Classification: 11B37, 11B83

  Keywords:

  Keywords and phrases: Paperfolding, Binary Reflected Gray Code, Stern-Brocot tree

  Doi:

  DOI: 10.2298/AADM1000005B

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• Title:

  On the number of certain types of strongly restricted permutations

  Authors:

  Vladimir Baltic

  Classification:

  2000 Mathematical Subject Classification: 05A15, 05A05, 11B37, 15A15

  Keywords:

  Keywords and phrases: Restricted permutations, exact enumeration, recurrences, permanents

  Doi:

  DOI: 10.2298/AADM1000008B

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• Title:

  TWO SUBCLASSES OF 2-CONVEX POLYOMINOES: PROPERTIES FOR RECONSTRUCTION

  Authors:

  Khalil Tawbe

  Classification:

  2000 Mathematical Subject Classification: 52C10

  Keywords:

  Keywords and phrases: Discrete geometry, convex polyominoes, discrete tomography

  Doi:

  DOI: 10.2298/AADM1000007T

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• Title:

  TOWARDS A SPECTRAL THEORY OF GRAPHS BASED ON THE SIGNLESS LAPLACIAN, III

  Authors:

  Dragoš Cvetković, Slobodan K. Simić

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Graph theory, graph spectra, adjacency matrix, Laplacian, signless Laplacian

  Doi:

  DOI: 10.2298/AADM1000001C

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• Title:

  On Q-integral (3,s)-semiregular bipartite graphs

  Authors:

  Slobodan K. Simić, Zoran Stanić

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Signless Laplacian spectrum, integral eigenvalues, semiregular bipartite graphs

  Doi:

  DOI: 10.2298/AADM1000002S

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• Title:

  ON THE GRACEFULNESS OF THE GRAPH P2m;2n

  Authors:

  Zhihe Liang, Huijuan Zuo

  Classification:

  2000 Mathematical Subject Classification: 05C78

  Keywords:

  Keywords and phrases: Graph Pa,b, graph labelings, graceful graph, matrix

  Doi:

  DOI: 10.2298/AADM1000003L

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• Title:

  ALGEBRAIC CONNECTIVITY FOR SUBCLASSES OF CATERPILLARS

  Authors:

  Nair Abreu, Oscar Rojo, Cláudia Justel

  Classification:

  2000 Mathematical Subject Classification: 05C50, 15A48, 05C05

  Keywords:

  Keywords and phrases: Tree, Laplacian matrix, algebraic connectivity, diameter

  Doi:

  DOI: 10.2298/AADM1000004A

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• Title:

  Characteristics of $(gamma, 3)$-critical graphs

  Authors:

  D. A. Mojdeh, P. Firoozi

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Vertex domination number, $(\gamma, 3)-critical graph, edge connectivity

  Doi:

  DOI: 10.2298/AADM100206013M

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• Title:

  Voting 'Against' in regular and nearly regular graphs

  Authors:

  Changping Wang

  Classification:

  2000 Mathematical Subject Classification: 05C75

  Keywords:

  Keywords and phrases: Negative function, maximal negative function, against number, lower against number, regular graph, nearly regular graph

  Doi:

  DOI: 10.2298/AADM100213014W

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