Applicable Analysis and Discrete Mathematics Vol. 8, No 1 (April, 2014)

Online version (ISSN 2406-100X) posted on March 21, 2014.

Printed version (ISSN 1452-8630) appeared on March 21, 2014.

• Title:

  COINCIDENCE PROBLEMS FOR GENERALIZED CONTRACTIONS

  Authors:

  Jesús Garcia Falset, Oana Maria Mleşniţe

  Classification:

  2000 Mathematical Subject Classification: 47H10, 54H25

  Keywords:

  Keywords and phrases: Coincidence problem, φ-contraction mapping, separate contraction, fixed point, generalized Ulam-Hyers stability

  Doi:

  DOI: 10.2298/AADM131031021F

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• Title:

  FORBIDDEN SETS OF PLANAR RATIONAL SYSTEMS OF DIFFERENCE EQUATIONS WITH COMMON DENOMINATOR

  Authors:

  Ignacio Bajo

  Classification:

  2000 Mathematical Subject Classification: 39A05, 39A20

  Keywords:

  Keywords and phrases: Difference equations, rational system, forbidden set, affine transformations

  Doi:

  DOI: 10.2298/AADM131108022B

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• Title:

  EFFECTIVE ROUGH BOUNDARY PARAMETRIZATION FOR REACTION-DIFFUSION SYSTEMS

  Authors:

  C. Mocenni, E. Sparacino, J. P. Zubelli

  Classification:

  2000 Mathematical Subject Classification: 35B27, 35Q80, 35K57

  Keywords:

  Keywords and phrases: Reaction-diffusion equations, multiple-scale analysis, rough boundaries

  Doi:

  DOI: 10.2298/AADM140126002M

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• Title:

  LEBESGUE-STIELTJES INTEGRAL AND YOUNG’S INEQUALITY

  Authors:

  Milan Merkle, Dan Marinescu, Monica M. R. Merkle, Mihai Monea, Marian Stroe

  Classification:

  2000 Mathematical Subject Classification: 26D10, 28A25, 60E05

  Keywords:

  Keywords and phrases: Young’s inequality, Lebesgue-Stieltjes integral, integration by parts, change of variables, generalized inverse

  Doi:

  DOI: 10.2298/AADM131211024M

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• Title:

  ON AN EFFICIENT METHOD FOR THE SIMULTANEOUS APPROXIMATION OF POLYNOMIAL MULTIPLE ROOTS

  Authors:

  Miodrag Petković, Ljiljana Petković, Jovana Džunić

  Classification:

  2000 Mathematical Subject Classification: 65H04, 26C10, 65F15

  Keywords:

  Keywords and phrases: Polynomial roots, multiple roots, simultaneous methods, acceleration of convergence

  Doi:

  DOI: 10.2298/AADM140310005P

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• Title:

  THE MOTIF PROBLEM: GEOMETRIC REPRESENTATIONS OF SETS OF EQUIVALENCE RELATIONS

  Authors:

  E. Rodney Canfield, Ron Fertig, R. Daniel Mauldin, David Moews

  Classification:

  2000 Mathematical Subject Classification: 05B30, 05C65

  Keywords:

  Keywords and phrases: Duality, linear programming, Hölder’s inequality, hypergraphs

  Doi:

  DOI: 10.2298/AADM140126001C

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• Title:

  DETECTING WHEELS

  Authors:

  Emilie Diot, Sébastien Tavenas, Nicolas Trotignon

  Classification:

  2000 Mathematical Subject Classification: 05C85, 05C75, 05C17

  Keywords:

  Keywords and phrases: Wheel, Detection, Truemper configurations

  Doi:

  DOI: 10.2298/AADM131128023D

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• Title:

  MORE ON NON-REGULAR BIPARTITE INTEGRAL GRAPHS WITH MAXIMUM DEGREE 4 NOT HAVING ±1 AS EIGENVALUES

  Authors:

  Nair M.M. de Abreu, Krystyna T. Balińska, Slobodan K. Simić, Krzysztof T. Zwierzyński

  Classification:

  2000 Mathematical Subject Classification: 05C05

  Keywords:

  Keywords and phrases: Adjacency matrix, graph spectrum, integral graph

  Doi:

  DOI: 10.2298/AADM140228004A

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• Title:

  THE DIFFERENTIAL AND THE ROMAN DOMINATION NUMBER OF A GRAPH

  Authors:

  Sergio Bermudo, Henning Fernau, José M. Sigarreta

  Classification:

  2000 Mathematical Subject Classification: 05C69, 05C76, 68R10, 05C85

  Keywords:

  Keywords and phrases: Roman domination, differential, domination number, line graph, approxi- mation algorithms, parameterized algorithms

  Doi:

  DOI: 10.2298/AADM140210003B

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