Applicable Analysis and Discrete Mathematics

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Applicable Analysis and Discrete Mathematics
(since 2007)Publications - Series: Mathematics
(1990-2007)Publications - Series: Mathematics and Physics
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Applicable Analysis and Discrete MathematicsPublisher: Faculty of Electrical Engineering, BelgradeISSN 1452-8630 (printed)ISSN 2406-100X (online)Issue: 5, No. 1Date: 2011

Bipartite Subgraphs and the Signless Laplacian Matrix	1 - 13
Steve Kirkland and Debdas Paul

Keywords: Bipartite subgraph, Signless Laplacian matrix, Normalised Laplacian matrixAMS: 05C50

On the spectral radius of cactuses with perfect matchings	14 - 21
Ziwen Huang, Hanyuan Deng and Slobodan K. Simić

Keywords: Cactus, Spectral radius, Perfect matchingAMS: 05C50

The energy of integral circulant graphs with prime power order	22 - 36
J.W. Sander and T. Sander

Keywords: Cayley graphs, integral circulant graphs, gcd graphs, graph energyAMS: Primary 05C50, Secondary 15A18

Upper Bound for the Energy of Strongly Connected Graphs	37 - 45
Singaraj K. Ayyaswamy, Selvaraj Balachandran and Ivan Gutman

Keywords: Energy of digraph, strongly connected digraph, strongly regular digraphAMS: 05C35, 05C50, 05C90

Self-Matching Bands in the Paperfolding Sequence	46 - 54
Bruce Bates, Martin Bunder and Keith Tognetti

Keywords: Paperfolding sequence, repeated subsequences, matchingAMS: 11A55

Words coding set partitions	55 - 59
Kamilla Oliver and Helmut Prodinger

Keywords: Periodic oscillation, Enumeration, q-series, AsymptoticsAMS: 00A05

ON THE COEFFICIENTS OF AN ASYMPTOTIC EXPANSION RELATED TO SOMOS' QUADRATIC RECURRENCE CONSTANT	60 - 66
Gergő Nemes

Keywords: asymptotic approximation; generating functions; recurrence relationsAMS: 05A15, 05A16, 11B37

A NEW SUMMATION FORMULA FOR WP-BAILEY PAIRS	67 - 79
James Mc Laughlin

Keywords: Basic Hypergeometric Series, Lambert Series, WP-Bailey pairs, WP-Bailey Chains, Bailey pairsAMS: 33D15, 11B65

ASYMPTOTIC EXPANSION FOR THE SUM OF INVERSES OF ARITHMETICAL FUNCTIONS INVOLVING ITERATED LOGARITHMS	80 - 86
Hacène Belbachir and Djamel Berkane

Keywords: Asymptotic expansion, arithmetical function, prime number theoremAMS: 11N37, 11N05

ON A BINOMIAL COEFFICIENT AND A PRODUCT OF PRIME NUMBERS	87 - 92
Jozsef Sandor and Horst Alzer

Keywords: Prime numbers, binomial coefficients, Chebychev's function, inequalities, monotonicityAMS: 05A10, 11A41

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