Applicable Analysis and Discrete Mathematics Vol. 5, No 1 (April, 2011)

Online version (ISSN 2406-100X) posted on March 14, 2011.

Printed version (ISSN 1452-8630) appeared on March 18, 2011.

• Title:

  Bipartite subgraphs and the signless Laplacian matrix

  Authors:

  Steve Kirkland, Debdas Paul

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Bipartite subgraph, Signless Laplacian matrix, Normalised Laplacian matrix

  Doi:

  DOI: 10.2298/AADM110205006K

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• Title:

  On the spectral radius of cactuses with perfect matchings

  Authors:

  Ziwen Huang, Hanyuan Deng, Slobodan K. Simić

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Cactus, Spectral radius, Perfect matching

  Doi:

  DOI: 10.2298/AADM110221011H

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• Title:

  The energy of integral circulant graphs with prime power order

  Authors:

  J.W. Sander, T. Sander

  Classification:

  2000 Mathematical Subject Classification: Primary 05C50, Secondary 15A18

  Keywords:

  Keywords and phrases: Cayley graphs, integral circulant graphs, gcd graphs, graph energy

  Doi:

  DOI: 10.2298/AADM110131003S

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• Title:

  Upper Bound for the Energy of Strongly Connected Graphs

  Authors:

  Singaraj K. Ayyaswamy, Selvaraj Balachandran, Ivan Gutman

  Classification:

  2000 Mathematical Subject Classification: 05C35, 05C50, 05C90

  Keywords:

  Keywords and phrases: Energy of digraph, strongly connected digraph, strongly regular digraph

  Doi:

  DOI: 10.2298/AADM101121030A

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• Title:

  Self-Matching Bands in the Paperfolding Sequence

  Authors:

  Bruce Bates, Martin Bunder, Keith Tognetti

  Classification:

  2000 Mathematical Subject Classification: 11A55

  Keywords:

  Keywords and phrases: Paperfolding sequence, repeated subsequences, matching

  Doi:

  DOI: 10.2298/AADM101204031B

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• Title:

  Words coding set partitions

  Authors:

  Kamilla Oliver, Helmut Prodinger

  Classification:

  2000 Mathematical Subject Classification: 00A05

  Keywords:

  Keywords and phrases: $q$-series, enumeration, asymptotics, periodic oscillation

  Doi:

  DOI: 10.2298/AADM110205005O

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• Title:

  ON THE COEFFICIENTS OF AN ASYMPTOTIC EXPANSION RELATED TO SOMOS' QUADRATIC RECURRENCE CONSTANT

  Authors:

  Gergő Nemes

  Classification:

  2000 Mathematical Subject Classification: 05A15; 05A16; 11B37

  Keywords:

  Keywords and phrases: asymptotic approximation; generating functions; recurrence relations

  Doi:

  DOI: 10.2298/AADM101115029N

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• Title:

  A NEW SUMMATION FORMULA FOR WP-BAILEY PAIRS

  Authors:

  James Mc Laughlin

  Classification:

  2000 Mathematical Subject Classification: 33D15, 11B65

  Keywords:

  Keywords and phrases: Basic Hypergeometric Series, Lambert Series, WP-Bailey pairs, WP-Bailey Chains, Bailey pairs

  Doi:

  DOI: 10.2298/AADM110203004M

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• Title:

  Asymptotic expansion for the sum of inverses of an arithmetical function involving iterated logarithms

  Authors:

  Hacène Belbachir, Djamel Berkane

  Classification:

  2000 Mathematical Subject Classification: 11N37, 11N05

  Keywords:

  Keywords and phrases: Asymptotic expansion, arithmetical function, prime number theorem

  Doi:

  DOI: 10.2298/AADM110212009B

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• Title:

  ON A BINOMIAL COEFFICIENT AND A PRODUCT OF PRIME NUMBERS

  Authors:

  Horst Alzer, Jozsef Sandor

  Classification:

  2000 Mathematical Subject Classification: 05A10, 11A41

  Keywords:

  Keywords and phrases: Prime numbers, binomial coefficients, Chebychev's function, inequalities, monotonicity

  Doi:

  DOI: 10.2298/AADM110206008A

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• Title:

  ON TWO NEW FAMILIES OF ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS WITH OPTIMAL ORDER

  Authors:

  M. Heydari, S. M. Hosseini, G. B. Loghmani

  Classification:

  2000 Mathematical Subject Classification: 65H05

  Keywords:

  Keywords and phrases: Newton's method, iterative methods, nonlinear equations, order of convergence, efficiency index

  Doi:

  DOI: 10.2298/AADM110228012H

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• Title:

  Fractional $h$-difference equations arising from the calculus of variations

  Authors:

  Rui A. C. Ferreira, Delfim F. M. Torres

  Classification:

  2000 Mathematical Subject Classification: Primary 39A12, Secondary 49J05, 49K05

  Keywords:

  Keywords and phrases: Fractional discrete calculus, fractional difference calculus of variations, Euler{Lagrange equations, explicit solutions

  Doi:

  DOI: 10.2298/AADM110131002F

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• Title:

  On positive solutions to nonlocal fractional and integer-order difference equations

  Authors:

  Christopher Goodrich

  Classification:

  2000 Mathematical Subject Classification: 26A33, 39A12, 39A05

  Keywords:

  Keywords and phrases: Discrete fractional calculus, boundary value problem, nonlocal boundary conditions, positive solution, sign-changing coefficients

  Doi:

  DOI: 10.2298/AADM110111001G

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• Title:

  On the lower and upper solution method for higher order: functional boundary value problems

  Authors:

  John R. Graef, Lingju Kong, Feliz M. Minhos, Joao Fialho

  Classification:

  2000 Mathematical Subject Classification: 34B15, 34B10

  Keywords:

  Keywords and phrases: $\phi $-Laplacian, higher order problems, functional boundary conditions, lower and upper solutions

  Doi:

  DOI: 10.2298/AADM110221010G

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• Title:

  Existence of multiple periodic solutions for a class of first-order neutral differential equations

  Authors:

  Chengjun Guo, Donal O'Regan, Ravi P. Agarwal

  Classification:

  2000 Mathematical Subject Classification: 34K13; 34K18; 58E50

  Keywords:

  Keywords and phrases: Infinite periodic solutions; First-order neutral differential equations; Generalized Poincaré-Birkhoff fixed point theorem; Mawhin's continuation theorem; Krasnoselskii fixed point theorem.

  Doi:

  DOI: 10.2298/AADM100914028G

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• Title:

  Common fixed point result under a contractive condition: of Ćirić's type in cone metric spaces

  Authors:

  Bessem Samet

  Classification:

  2000 Mathematical Subject Classification: 54H25, 47H10

  Keywords:

  Keywords and phrases: Common fixed point, cone metric space, contraction of Ćirić type

  Doi:

  DOI: 10.2298/AADM110206007S

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