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 Applicable Analysis and Discrete Mathematics Vol. 5, No 1 (April, 2011) Electronic version posted on March 14, 2011. Printed version appeared on March 18, 2011.

Steve Kirkland, Debdas Paul:
Bipartite subgraphs and the signless Laplacian matrix

2000 Mathematical Subject Classification: 05C50
Keywords and phrases: Bipartite subgraph, Signless Laplacian matrix, Normalised Laplacian matrix.

Ziwen Huang, Hanyuan Deng, Slobodan K. Simić:
On the spectral radius of cactuses with perfect matchings

2000 Mathematical Subject Classification: 05C50
Keywords and phrases: Cactus, Spectral radius, Perfect matching.

J.W. Sander, T. Sander:
The energy of integral circulant graphs with prime power order

2000 Mathematical Subject Classification: Primary 05C50, Secondary 15A18
Keywords and phrases: Cayley graphs, integral circulant graphs, gcd graphs, graph energy.

Singaraj K. Ayyaswamy, Selvaraj Balachandran, Ivan Gutman:
Upper Bound for the Energy of Strongly Connected Graphs

2000 Mathematical Subject Classification: 05C35, 05C50, 05C90
Keywords and phrases: Energy of digraph, strongly connected digraph, strongly regular digraph.

Bruce Bates, Martin Bunder, Keith Tognetti:
Self-Matching Bands in the Paperfolding Sequence

2000 Mathematical Subject Classification: 11A55
Keywords and phrases: Paperfolding sequence, repeated subsequences, matching.

Kamilla Oliver, Helmut Prodinger:
Words coding set partitions

2000 Mathematical Subject Classification: 00A05
Keywords and phrases: $q$-series, enumeration, asymptotics, periodic oscillation.

Gergő Nemes:
ON THE COEFFICIENTS OF AN ASYMPTOTIC EXPANSION RELATED TO SOMOS\' QUADRATIC RECURRENCE CONSTANT

2000 Mathematical Subject Classification: 05A15; 05A16; 11B37
Keywords and phrases: asymptotic approximation; generating functions; recurrence relations.

James Mc Laughlin:
A NEW SUMMATION FORMULA FOR WP-BAILEY PAIRS

2000 Mathematical Subject Classification: 33D15, 11B65
Keywords and phrases: Basic Hypergeometric Series, Lambert Series, WP-Bailey pairs, WP-Bailey Chains, Bailey pairs.

Hacène Belbachir, Djamel Berkane:
Asymptotic expansion for the sum of inverses of an arithmetical function involving iterated logarithms

2000 Mathematical Subject Classification: 11N37, 11N05
Keywords and phrases: Asymptotic expansion, arithmetical function, prime number theorem.

Horst Alzer, Jozsef Sandor:
ON A BINOMIAL COEFFICIENT AND A PRODUCT OF PRIME NUMBERS

2000 Mathematical Subject Classification: 05A10, 11A41
Keywords and phrases: Prime numbers, binomial coefficients, Chebychev\'s function, inequalities, monotonicity.

M. Heydari, S. M. Hosseini, G. B. Loghmani:
ON TWO NEW FAMILIES OF ITERATIVE METHODS FOR SOLVING NONLINEAR EQUATIONS WITH OPTIMAL ORDER

2000 Mathematical Subject Classification: 65H05
Keywords and phrases: Newton\'s method, iterative methods, nonlinear equations, order of convergence, efficiency index .

Rui A. C. Ferreira, Delfim F. M. Torres:
Fractional $h$-difference equations arising from the calculus of variations

2000 Mathematical Subject Classification: Primary 39A12, Secondary 49J05, 49K05
Keywords and phrases: Fractional discrete calculus, fractional difference calculus of variations, Euler{Lagrange equations, explicit solutions.

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

2000 Mathematical Subject Classification: 26A33, 39A12, 39A05
Keywords and phrases: Discrete fractional calculus, boundary value problem, nonlocal boundary conditions, positive solution, sign-changing coefficients.

John R. Graef, Lingju Kong, Feliz M. Minhos, Joao Fialho:
On the lower and upper solution method for higher order: functional boundary value problems

2000 Mathematical Subject Classification: 34B15, 34B10
Keywords and phrases: $\\phi$-Laplacian, higher order problems, functional boundary conditions, lower and upper solutions.

Chengjun Guo, Donal O\'Regan, Ravi P. Agarwal:
Existence of multiple periodic solutions for a class of first-order neutral differential equations

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

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

2000 Mathematical Subject Classification: 54H25, 47H10
Keywords and phrases: Common fixed point, cone metric space, contraction of Ćirić type.