Applicable Analysis and Discrete Mathematics Vol. 11, No 1 (April, 2017)

Online version (ISSN 2406-100X) posted on April 28, 2017.

Printed version (ISSN 1452-8630) appeared on April 28, 2017.

  • Title:
    The strong metric dimension of some generalized Petersen graphs
    Authors:
    Jozef Kratica, Vera Kovačević-Vujčić, Mirjana Čangalović
    Classification:
    2000 Mathematical Subject Classification: 05C12, 05C40
    Keywords:
    Keywords and phrases: generalized Petersen graphs, strong metric dimension
    Doi:
    DOI: 10.2298/AADM161110032K
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  • Title:
    The number of disjoint perfect matchings in semi-regular graphs
    Authors:
    Hongliang Lu and David G.L. Wang
    Classification:
    2000 Mathematical Subject Classification: 05C70
    Keywords:
    Keywords and phrases: Semiregular graph, Hamiltonian graph, regular graph, perfect matching, factorization
    Doi:
    DOI: 10.2298/AADM161109030L
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  • Title:
    Abstract degenerate fractional differential inclusions in Banach spaces
    Authors:
    Marko Kostić
    Classification:
    2000 Mathematical Subject Classification: 47D03, 47G20, 47D99
    Keywords:
    Keywords and phrases: Semi-linear degenerate Cauchy problem, multivalued linear operator, degenerate resolvent family, abstract degenerate fractional inclusion, fractional differential equation
    Doi:
    DOI: 10.2298/AADM1701039K
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  • Title:
    THE EFFECTS OF SYMMETRY-BREAKING FUNCTIONS ON THE ERMAKOV-PINNEY EQUATION
    Authors:
    R.M. Morris and P.G.L. Leach
    Classification:
    2000 Mathematical Subject Classification: 22E60, 70B05, 34A05
    Keywords:
    Keywords and phrases: Ermakov-Pinney Equation, Lie point symmetries
    Doi:
    DOI: 10.2298/AADM161106029M
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  • Title:
    More on graphs with just three distinct eigenvalues
    Authors:
    Peter Rowlinson
    Classification:
    2000 Mathematical Subject Classification: 05C50
    Keywords:
    Keywords and phrases: Quasi-symmetric design, minimum degree, Strongly regular graph, Symmetric design, main eigenvalue
    Doi:
    DOI: 10.2298/AADM161111033R
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  • Title:
    Merging the A- and Q-spectral theories
    Authors:
    Vladimir Nikiforov
    Classification:
    2000 Mathematical Subject Classification: 05C50, 15A42
    Keywords:
    Keywords and phrases: spectral Turan theorem, spectral extremal problems, signless Laplacian, adjacency matrix, Spectral radius
    Doi:
    DOI: 10.2298/AADM1701081N
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  • Title:
    DISTANCE SPECTRUM AND ENERGY OF GRAPHS WITH SMALL DIAMETER
    Authors:
    Milica Anđelić, Tamara Koledin, Zoran Stanić
    Classification:
    2000 Mathematical Subject Classification: 05C50
    Keywords:
    Keywords and phrases: distance energy, distance spectrum, Graph spectrum, regular graph, Bipartite graph
    Doi:
    DOI: 10.2298/AADM1701108A
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  • Title:
    A note on the Nordhaus-Gaddum type inequality to the second largest eigenvalue of a graph
    Authors:
    Nair Abreu, André E. Brondani, Leonardo de Lima, Carla Oliveira
    Classification:
    2000 Mathematical Subject Classification: 05C50
    Keywords:
    Keywords and phrases: Nordhaus-Gaddum problem, adjacency matrix, upper bound, second largest eigenvalue
    Doi:
    DOI: 10.2298/AADM1701123A
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  • Title:
    RESISTANCE DISTANCES ON NETWORKS
    Authors:
    A. Carmona, A.M. Encinas, M. Mitjana
    Classification:
    2000 Mathematical Subject Classification: 05C12
    Keywords:
    Keywords and phrases: Symmetric M-matrices, Resistance distances, Effective resistances, Schrödinger operators
    Doi:
    DOI: 10.2298/AADM1701136C
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  • Title:
    Some graph mappings that preserve the sign of lambda2 −r
    Authors:
    Bojana Mihailović and Marija Rašajski
    Classification:
    2000 Mathematical Subject Classification: 05C50
    Keywords:
    Keywords and phrases: graph transformations, spectral graph theory, reflexive graph, second largest eigenvalue
    Doi:
    DOI: 10.2298/AADM1701148M
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  • Title:
    The maximum of cotangent sums related to Estermann's zeta function in rational numbers in short intervals
    Authors:
    Helmut Maier and Michael Th. Rassias
    Classification:
    2000 Mathematical Subject Classification: 26A12, 11M06, 11L03
    Keywords:
    Keywords and phrases: Kloosterman sum, Estermann's zeta function, Cotangent sums, Riemann zeta function, Riemann Hypothesis
    Doi:
    DOI: 10.2298/AADM1701166M
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  • Title:
    Construction of Gaussian Quadrature Formulas for Even Weight Functions
    Authors:
    Mohammad Masjed-Jamei and Gradimir V. Milovanović
    Classification:
    2000 Mathematical Subject Classification: 41A55, 65D30, 65D32
    Keywords:
    Keywords and phrases: Pollaczek type weight functions, Jacobi matrix, Symmetric weight functions, Symmetric Gaussian quadrature rules, Orthogonal polynomials
    Doi:
    DOI: 10.2298/AADM1701177M
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  • Title:
    Fixed point and coincidence point theorems in b-metric spaces with applications
    Authors:
    Adrian Petrusel, Gabriela Petrusel, Jen-Chih Yao
    Classification:
    2000 Mathematical Subject Classification: 47H10, 54H25, 26A18
    Keywords:
    Keywords and phrases: well=posedness, Ulam-Hyers stability, b-metric space, coincidence point, Fixed point
    Doi:
    DOI: 10.2298/AADM1701199P
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  • Title:
    Shedding light on words
    Authors:
    Margaret Archibald, Aubrey Blecher, Charlotte Brennan, Arnold Knopfmacher, Toufik Mansour
    Classification:
    2000 Mathematical Subject Classification: 05A15
    Keywords:
    Keywords and phrases: Words, generating function
    Doi:
    DOI: 10.2298/AADM1701216A
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  • Title:
    ON COMPARISON OF ANNULI CONTAINING ALL THE ZEROS OF A POLYNOMIAL
    Authors:
    Aseem Dalal and Narendra K. Govil
    Classification:
    2000 Mathematical Subject Classification: 30C15, 65F15, 30E10
    Keywords:
    Keywords and phrases: Inequalities, approximation theory, numerical analysis, location of the zeros of a polynomial, Eigenvalues
    Doi:
    DOI: 10.2298/AADM1701232D
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  • Title:
    Editorial: AADM Next Phase
    Authors:
    Branko Malešević
    Doi:
    Doi: 10.2298/AADM1701242M
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