Applicable Analysis and Discrete Mathematics

Publications of the Faculty of Electrical EngineeringPublisher: Faculty of Electrical Engineering, BelgradeIssue: 7, No. 1Date: 2013

On Gessel-Kaneko's identity for Bernoulli numbers	1 - 10
Hac Belbachir and Mourad Rahmani

Keywords: Bernoulli numbers, Zeilberger algorithm, Combinatorial IdentitiesAMS: 11B68, 05A19, 33F10

Bijective proofs of Jensen's and Mohanty-Handa's identities	11 - 24
Nicholas A. and R. Daniel

Keywords: JensenAMS: 05A19, 05A10

PARTIAL MATCHINGS AND PATTERN AVOIDANCE	25 - 50
Toufik Mansour and Mark Shattuck

Keywords: kernel method, set partition, pattern avoidance, InvolutionAMS: 05A15, 05A18, 05A19

Part-products of S-restricted integer compositions	51 - 71
Eric Schmutz and Caroline Shapcott

Keywords: Integer compositions, Central limit theorem, generating functionsAMS: 05A16, 60F05, 60C05

On distances in Sierpinski graphs: almost-extreme vertices and metric dimension	72 - 82
Sandi Klav and Sara Sabrina

Keywords: distance of vertex, almost-extreme vertex, Sierpinski graph, metric dimensionAMS: 05C12

On diameter and inverse degree of chemical graphs	83 - 93
Xue-gang Chen and Shinya Fujita

Keywords: chemical graph, inverse degree, diameterAMS: 05C69, 05C35

HARARY INDEX OF THE k-TH POWER OF A GRAPH	94 - 105
Guifu Su, Liming Xiong and Ivan Gutman

Keywords: NodrhausAMS: 05C12

On the sum of the squared multiplicities of the distances in a point set over ?nite spaces	106 - 118
Le Anh

Keywords: pseudo-random graphs, Erdos distance problems, finite Euclidean graphsAMS: 05C15, 05C80

On groups admitting no integral Cayley graphs besides complete multipartite graphs	119 - 128
Alireza Abdollahi and Mojtaba Jazaeri

Keywords: Integral connected Cayley graph, Complete multipartite graph, Simple group, Non-simple groupAMS: 05C50, 15A18, 05C25

Lyapunov-type Inequalities for Planar Linear Dynamic Hamiltonian Systems	129 - 142
Martin Bohner and Agacik Zafer

Keywords: Lyapunov inequality, time scales exponential function, Hamiltonian systems, Dynamic equations, Time scalesAMS: 34N05, 34B24, 34A40

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