Applicable Analysis and Discrete Mathematics Vol. 10, No 1 (April, 2016)

Online version (ISSN 2406-100X) posted on April 21, 2016.

Printed version (ISSN 1452-8630) appeared on April 21, 2016.

• Title:

  Protecting a Graph with Mobile Guards

  Authors:

  William F. Klostermeyer, C. M. Mynhardt

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Dominating set, Eternal Dominating Set, Graph Protection, Eternal Vertex Cover

  Doi:

  DOI: 10.2298/AADM151109021K

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• Title:

  On graphs with small game domination number

  Authors:

  Sandi Klavžar, Gašper Košmrlj, Simon Schmidt

  Classification:

  2000 Mathematical Subject Classification: 05C57, 05C69, 05C12

  Keywords:

  Keywords and phrases: Domination game, game domination number, diameter, gamburger

  Doi:

  DOI: 10.2298/AADM160207003K

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• Title:

  Perfect and quasiperfect domination in trees

  Authors:

  José Cáceres, Carmen Hernando, Mercè Mora, Ignacio M. Pelayo, María Luz Puertas

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Domination, perfect domination, quasiperfect domination, trees

  Doi:

  DOI: 10.2298/AADM160406007C

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• Title:

  Lower Bounds on the Roman and Independent Roman Domination Numbers

  Authors:

  Mustapha Chellali, Teresa W. Haynes, Stephen T. Hedetniemi

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Roman domination, independent domination, total domination, ve-domination

  Doi:

  DOI: 10.2298/AADM151112023C

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• Title:

  Harmonious coloring of uniform hypergraphs

  Authors:

  Bartłomiej Bosek, Sebastian Czerwiński, Jarosław Grytczuk, Paweł Rzążewski

  Classification:

  2000 Mathematical Subject Classification: 05C15

  Keywords:

  Keywords and phrases: Harmonious coloring, vertex-distinguishing coloring, uniform hypergraphs

  Doi:

  DOI: 10.2298/AADM160411008B

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• Title:

  ON TREES WITH MAXIMUM ALGEBRAIC CONNECTIVITY

  Authors:

  Nair Abreu, Lilian Markenzon, Luciana Lee, Oscar Rojo

  Classification:

  2000 Mathematical Subject Classification: 05C05, 05C40, 05C50

  Keywords:

  Keywords and phrases: Laplacian matrices, algebraic connectivity, diameter-path tree, bottleneck matrices, characteristic vertex (vertices)

  Doi:

  DOI: 10.2298/AADM160207002A

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• Title:

  On the adjacency dimension of graphs

  Authors:

  Alejandro Estrada-Moreno, Yunior Ramírez-Cruz, Juan Alberto Rodríguez-Velázquez

  Classification:

  2000 Mathematical Subject Classification: 05C75, 05C12, 05C76

  Keywords:

  Keywords and phrases: Adjacency dimension, metric dimension, k-metric dimension

  Doi:

  DOI: 10.2298/AADM151109022E

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• Title:

  Almost automorphic solutions of delayed neutral dynamic systems on hybrid domains

  Authors:

  Murat Adivar, Halis Can Koyuncuoğlu, Youssef N. Raffoul

  Classification:

  2000 Mathematical Subject Classification: 34N05, 34K40, 34D09

  Keywords:

  Keywords and phrases: Almost automorphic, exponential dichotomy, neutral dynamic system, time scale, unique projection

  Doi:

  DOI: 10.2298/AADM160402006A

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• Title:

  A Hukuhara approach to the study of hybrid fuzzy systems on time scales

  Authors:

  Omid S. Fard, Delfim F. M. Torres, Mohadeseh R. Zadeh

  Classification:

  2000 Mathematical Subject Classification: 93C42, 34N05, 93D05

  Keywords:

  Keywords and phrases: Fuzzy hybrid systems, fuzzy dynamical systems, practical stability, time scales

  Doi:

  DOI: 10.2298/AADM160311004F

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• Title:

  Simple Parametrization Methods for Generating Adomian Polynomials

  Authors:

  K. K. Kataria, P. Vellaisamy

  Classification:

  2000 Mathematical Subject Classification: 41A10, 49M27

  Keywords:

  Keywords and phrases: Adomian decomposition method, Adomian polynomials, formal power series, nonlinear operators

  Doi:

  DOI: 10.2298/AADM160123001K

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• Title:

  Differentiability properties of the family of p-parallel bodies

  Authors:

  Maria A. Hernández Cifre, Antonio R. Martínez Fernández, Eugenia Saorín Gómez

  Classification:

  2000 Mathematical Subject Classification: 52A20, 52A39, 52A40

  Keywords:

  Keywords and phrases: p-difference of convex bodies, (mixed) quermassintegral, differentiability, relative inradius, (+p-) concave family

  Doi:

  DOI: 10.2298/AADM160325005C

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• Title:

  Traveling Wave Solutions of An Ordinary-Parabolic System in R^2 and a 2D-Strip

  Authors:

  Yanling Tian, Chufen Wu, Zhengrong Liu

  Classification:

  2000 Mathematical Subject Classification: 35M10, 92D40

  Keywords:

  Keywords and phrases: Minimal wave speeds, weak upper-lower solutions

  Doi:

  DOI: 10.2298/AADM160418009T

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