Applicable Analysis and Discrete Mathematics Vol. 9, No 1 (April, 2015)

Online version (ISSN 2406-100X) posted on April 3, 2015.

Printed version (ISSN 1452-8630) appeared on April 3, 2015.

  • Title:
    Infinitely Many Equivalent Versions of the Graceful Tree Conjecture
    Authors:
    Tao-Ming Wang, Cheng-Chang Yang, Lih-Hsing Hsu, Eddie Cheng
    Classification:
    2000 Mathematical Subject Classification: 05C15, 05C78
    Keywords:
    Keywords and phrases: Graceful Tree Conjecture, Strongly Graceful Tree Conjecture, strongly graceful, gracefully similar, gracefully similar factor.
    Doi:
    DOI: 10.2298/AADM141009017W
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  • Title:
    The linear (n-1)-arboricity of Cartesian product graphs
    Authors:
    Liancui Zuo, Shengjie He, Bing Xue
    Classification:
    2000 Mathematical Subject Classification: 05C15
    Keywords:
    Keywords and phrases: Linear k-forest, linear k-arboricity, Cartesian product graph, Hamming graph.
    Doi:
    DOI: 10.2298/AADM150202003Z
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  • Title:
    ALPHA-KURAMOTO PARTITIONS FROM THE FRUSTRATED KURAMOTO MODEL GENERALISE EQUITABLE PARTITIONS
    Authors:
    Stephen Kirkland, Simone Severini
    Classification:
    2000 Mathematical Subject Classification: 5C90, 34D06
    Keywords:
    Keywords and phrases: Kuramoto model, phase synchronisation, graph partitions, systems of differential equations
    Doi:
    DOI: 10.2298/AADM141124018K
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  • Title:
    On the Laplacian spectra of product graphs
    Authors:
    S. Barik, R. B. Bapat, S. Pati
    Classification:
    2000 Mathematical Subject Classification: 05C50, 05C76, 15A18
    Keywords:
    Keywords and phrases: Product graphs, Laplacian matrix, Laplacian eigenvalues, Characteristic set, Algebraic connectivity
    Doi:
    DOI: 10.2298/AADM150218006B
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  • Title:
    On So's conjecture for integral circulant graphs
    Authors:
    J.W. Sander, T. Sander
    Classification:
    2000 Mathematical Subject Classification: 05C50, 11L03
    Keywords:
    Keywords and phrases: Cayley graph, Integral graph, Circulant graph, Graph spectrum, Multiplicative divisor set
    Doi:
    DOI: 10.2298/AADM150226009S
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  • Title:
    Farey Lines defining Farey Diagrams and Application to some Discrete Structures
    Authors:
    Daniel Khoshnoudirad
    Classification:
    2000 Mathematical Subject Classification: 05A15, 05A16, 05C30, 11Y35
    Keywords:
    Keywords and phrases: Farey lines, enumerative combinatorics, graph theory in computer sciences, discrete planes, Diophantine equations
    Doi:
    DOI: 10.2298/AADM150219008K
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  • Title:
    Dirichlet-to-Robin maps on finite networks
    Authors:
    Cristina Araúz, Ángeles Carmona, Andrés M. Encinas
    Classification:
    2000 Mathematical Subject Classification: 5C40, 05C50, 90B10, 94C15
    Keywords:
    Keywords and phrases: Finite networks, Schrödinger operator, Dirichlet-to-Robin map, Schur complement, Inverse problem
    Doi:
    DOI: 10.2298/AADM150207004A
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  • Title:
    Blow-up for discrete Reaction-Diffusion Equations on Networks
    Authors:
    Soon-Yeong Chung, Jae-Hwang Lee
    Classification:
    2000 Mathematical Subject Classification: 39A12, 39A13, 39A70, 35K57
    Keywords:
    Keywords and phrases: Reaction-diffusion, Discrete Laplacian, Comparison principle, Blow-up
    Doi:
    DOI: 10.2298/AADM150210005C
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  • Title:
    Two types of stability conditions for linear delay difference equations
    Authors:
    Jan Čermák, Jiří Jánský, Petr Tomášek
    Classification:
    2000 Mathematical Subject Classification: 39A30, 39A06
    Keywords:
    Keywords and phrases: Delay difference equation, asymptotic stability, characteristic polynomial
    Doi:
    DOI: 10.2298/AADM141009016C
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  • Title:
    Analysis of Discrete Fractional Operators
    Authors:
    Ferhan M. Atıcı, Meltem Uyanik
    Classification:
    2000 Mathematical Subject Classification: 26A33, 39A12, 39A70
    Keywords:
    Keywords and phrases: Discrete fractional calculus, forward fractional difference operator
    Doi:
    DOI: 10.2298/AADM150218007A
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  • Title:
    Existence of solutions for hybrid fractional pantograph equations
    Authors:
    Mohamed Abdalla Darwish, Kishin Sadarangani
    Classification:
    2000 Mathematical Subject Classification: 45G10, 45M99, 47H09
    Keywords:
    Keywords and phrases: Banach algebras, hybrid, measure of noncompactness, Riemann-Liouville, pantograph equations
    Doi:
    DOI: 10.2298/AADM150126002D
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  • Title:
    NORM INEQUALITIES FOR NEW CONVOLUTIONS AND THEIR APPLICATIONS
    Authors:
    Dinh Thanh Duc, Nguyen Du Vi Nhan
    Classification:
    2000 Mathematical Subject Classification: 26D10, 26D15, 44A35
    Keywords:
    Keywords and phrases: Hölder's inequality, convolution, integral transform, boundedness, differential equation, Lp-weighted estimate
    Doi:
    DOI: 10.2298/AADM150109001D
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  • Title:
    Complete Solution to Seven-point Schemes of Discrete Anisotropic Laplacian on Regular Hexagons
    Authors:
    Daniel Lee
    Classification:
    2000 Mathematical Subject Classification: 65N06, 35J05, 15A06
    Keywords:
    Keywords and phrases: Compact scheme, Hexagonal finite volume, Seven-point method, Anisotropic Laplacian
    Doi:
    DOI: 10.2298/AADM150310010L
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