Applicable Analysis and Discrete Mathematics Vol. 7, No 1 (April, 2013)

Electronic version posted on February 26, 2013.

Hacène Belbachir, Mourad Rahmani: On Gessel-Kaneko\'s identity for Bernoulli numbers

2000 Mathematical Subject Classification: 11B68, 05A19, 33F10
Keywords and phrases: Bernoulli numbers, Zeilberger algorithm, Combinatorial Identities.

doi:10.2298/AADM130204003B

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Nicholas A. Loehr, R. Daniel Mauldin: Bijective proofs of Jensen\'s and Mohanty-Handa\'s identities

2000 Mathematical Subject Classification: 05A19, 05A10
Keywords and phrases: Jensen’s identity, Mohanty-Handa’s identity, lattice paths, bijective proofs.

doi:10.2298/AADM121030021L

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Toufik Mansour and Mark Shattuck: PARTIAL MATCHINGS AND PATTERN AVOIDANCE

2000 Mathematical Subject Classification: 05A15, 05A18, 05A19
Keywords and phrases: kernel method, set partition, pattern avoidance, Involution.

doi:10.2298/AADM121130023M

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Eric Schmutz, Caroline Shapcott: Part-products of S-restricted integer compositions

2000 Mathematical Subject Classification: 05A16, 60F05, 60C05
Keywords and phrases: Integer compositions, Central limit theorem, generating functions.

doi:10.2298/AADM120911020S

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Sandi Klavžar, Sara Sabrina Zemljič: On distances in Sierpinski graphs: almost-extreme vertices and metric dimension

2000 Mathematical Subject Classification: 05C12
Keywords and phrases: distance of vertex, almost-extreme vertex, Sierpinski graph, metric dimension.

doi:10.2298/AADM130109001K

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Xue-gang Chen, Shinya Fujita: On diameter and inverse degree of chemical graphs

2000 Mathematical Subject Classification: 05C69, 05C35
Keywords and phrases: chemical graph, inverse degree, diameter.

doi:10.2298/AADM121129022C

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Guifu Su, Liming Xiong, Ivan Gutman: HARARY INDEX OF THE k-TH POWER OF A GRAPH

2000 Mathematical Subject Classification: 05C12
Keywords and phrases: Nodrhaus–Gaddum type inequality, k-th power of graph, Harary index.

doi:10.2298/AADM121130024S

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Le Anh Vinh: On the sum of the squared multiplicities of the distances in a point set over finite spaces

2000 Mathematical Subject Classification: 05C15, 05C80
Keywords and phrases: pseudo-random graphs, Erdos distance problems, finite Euclidean graphs.

doi:10.2298/AADM121212026V

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Alireza Abdollahi, Mojtaba Jazaeri: On groups admitting no integral Cayley graphs besides complete multipartite graphs

2000 Mathematical Subject Classification: 05C50, 15A18, 05C25
Keywords and phrases: Integral connected Cayley graph, Complete multipartite graph, Simple group, Non-simple group.

doi:10.2298/AADM121212027A

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Martin Bohner, Agacik Zafer: Lyapunov-type Inequalities for Planar Linear Dynamic Hamiltonian Systems

2000 Mathematical Subject Classification: 34N05, 34B24, 34A40
Keywords and phrases: Lyapunov inequality, time scales exponential function, Hamiltonian systems, Dynamic equations, Time scales.

doi:10.2298/AADM130211004B

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Maru Guadie: STABILITY ESTIMATES FOR DISCRETE HARMONIC FUNCTIONS ON PRODUCT DOMAINS

2000 Mathematical Subject Classification: 31C20, 31B05, 39A12
Keywords and phrases: Stability estimates, Three-line theorem, Eigenvalues of Dirichlet_Laplacian, Phragmén-Lindelöf principle, Discrete harmonic functions.

doi:10.2298/AADM121204025G

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Gergő Nemes: Error bounds and exponential improvement for Hermite\'s asymptotic expansion for the Gamma function

2000 Mathematical Subject Classification: 41A60, 33B15, 41A80
Keywords and phrases: Asymptotic expansions, Error bounds, Gamma function.

doi:10.2298/AADM130124002N

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Gradimir V. Milovanović and Tibor K. Pogany: NEW INTEGRAL FORMS OF GENERALIZED MATHIEU SERIES AND RELATED APPLICATIONS

2000 Mathematical Subject Classification: 33E20, 44A10, 33C10
Keywords and phrases: Mellin transform, Fredholm integral equation of the first kind, Bessel function of the first kind, Integral representation of series, Mathieu and generalized Mathieu series.

doi:10.2298/AADM121227028M

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