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

Online version (ISSN 2406-100X) posted on February 26, 2013.

• Title:

  On Gessel-Kaneko's identity for Bernoulli numbers

  Authors:

  Hacène Belbachir, Mourad Rahmani

  Classification:

  2000 Mathematical Subject Classification: 11B68, 05A19, 33F10

  Keywords:

  Keywords and phrases: Bernoulli numbers, Zeilberger algorithm, Combinatorial Identities

  Doi:

  DOI: 10.2298/AADM130204003B

  Download:

  Download

• Title:

  Bijective proofs of Jensen's and Mohanty-Handa's identities

  Authors:

  Nicholas A. Loehr, R. Daniel Mauldin

  Classification:

  2000 Mathematical Subject Classification: 05A19, 05A10

  Keywords:

  Keywords and phrases: Jensen’s identity, Mohanty-Handa’s identity, lattice paths, bijective proofs

  Doi:

  DOI: 10.2298/AADM121030021L

  Download:

  Download

• Title:

  PARTIAL MATCHINGS AND PATTERN AVOIDANCE

  Authors:

  Toufik Mansour and Mark Shattuck

  Classification:

  2000 Mathematical Subject Classification: 05A15, 05A18, 05A19

  Keywords:

  Keywords and phrases: kernel method, set partition, pattern avoidance, Involution

  Doi:

  DOI: 10.2298/AADM121130023M

  Download:

  Download

• Title:

  Part-products of S-restricted integer compositions

  Authors:

  Eric Schmutz, Caroline Shapcott

  Classification:

  2000 Mathematical Subject Classification: 05A16, 60F05, 60C05

  Keywords:

  Keywords and phrases: Integer compositions, Central limit theorem, generating functions

  Doi:

  DOI: 10.2298/AADM120911020S

  Download:

  Download

• Title:

  On distances in Sierpinski graphs: almost-extreme vertices and metric dimension

  Authors:

  Sandi Klavžar, Sara Sabrina Zemljič

  Classification:

  2000 Mathematical Subject Classification: 05C12

  Keywords:

  Keywords and phrases: distance of vertex, almost-extreme vertex, Sierpinski graph, metric dimension

  Doi:

  DOI: 10.2298/AADM130109001K

  Download:

  Download

• Title:

  On diameter and inverse degree of chemical graphs

  Authors:

  Xue-gang Chen, Shinya Fujita

  Classification:

  2000 Mathematical Subject Classification: 05C69, 05C35

  Keywords:

  Keywords and phrases: chemical graph, inverse degree, diameter

  Doi:

  DOI: 10.2298/AADM121129022C

  Download:

  Download

• Title:

  HARARY INDEX OF THE k-TH POWER OF A GRAPH

  Authors:

  Guifu Su, Liming Xiong, Ivan Gutman

  Classification:

  2000 Mathematical Subject Classification: 05C12

  Keywords:

  Keywords and phrases: Nodrhaus–Gaddum type inequality, k-th power of graph, Harary index

  Doi:

  DOI: 10.2298/AADM121130024S

  Download:

  Download

• Title:

  On the sum of the squared multiplicities of the distances in a point set over finite spaces

  Authors:

  Le Anh Vinh

  Classification:

  2000 Mathematical Subject Classification: 05C15, 05C80

  Keywords:

  Keywords and phrases: pseudo-random graphs, Erdos distance problems, finite Euclidean graphs

  Doi:

  DOI: 10.2298/AADM121212026V

  Download:

  Download

• Title:

  On groups admitting no integral Cayley graphs besides complete multipartite graphs

  Authors:

  Alireza Abdollahi, Mojtaba Jazaeri

  Classification:

  2000 Mathematical Subject Classification: 05C50, 15A18, 05C25

  Keywords:

  Keywords and phrases: Integral connected Cayley graph, Complete multipartite graph, Simple group, Non-simple group

  Doi:

  DOI: 10.2298/AADM121212027A

  Download:

  Download

• Title:

  Lyapunov-type Inequalities for Planar Linear Dynamic Hamiltonian Systems

  Authors:

  Martin Bohner, Agacik Zafer

  Classification:

  2000 Mathematical Subject Classification: 34N05, 34B24, 34A40

  Keywords:

  Keywords and phrases: Lyapunov inequality, time scales exponential function, Hamiltonian systems, Dynamic equations, Time scales

  Doi:

  DOI: 10.2298/AADM130211004B

  Download:

  Download

• Title:

  STABILITY ESTIMATES FOR DISCRETE HARMONIC FUNCTIONS ON PRODUCT DOMAINS

  Authors:

  Maru Guadie

  Classification:

  2000 Mathematical Subject Classification: 31C20, 31B05, 39A12

  Keywords:

  Keywords and phrases: Stability estimates, Three-line theorem, Eigenvalues of Dirichlet_Laplacian, Phragmén-Lindelöf principle, Discrete harmonic functions

  Doi:

  DOI: 10.2298/AADM121204025G

  Download:

  Download

• Title:

  Error bounds and exponential improvement for Hermite's asymptotic expansion for the Gamma function

  Authors:

  Gergő Nemes

  Classification:

  2000 Mathematical Subject Classification: 41A60, 33B15, 41A80

  Keywords:

  Keywords and phrases: Asymptotic expansions, Error bounds, Gamma function

  Doi:

  DOI: 10.2298/AADM130124002N

  Download:

  Download

• Title:

  NEW INTEGRAL FORMS OF GENERALIZED MATHIEU SERIES AND RELATED APPLICATIONS

  Authors:

  Gradimir V. Milovanović and Tibor K. Pogany

  Classification:

  2000 Mathematical Subject Classification: 33E20, 44A10, 33C10

  Keywords:

  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:

  DOI: 10.2298/AADM121227028M

  Download:

  Download