Applicable Analysis and Discrete Mathematics Vol. 4, No 2 (October, 2010)

Online version (ISSN 2406-100X) posted on September 5, 2010.

Printed version (ISSN 1452-8630) appeared on September 10, 2010.

• Title:

  Even-hole-free graphs: a survey

  Authors:

  Kristina Vušković

  Classification:

  2000 Mathematical Subject Classification: 05C75, 05C85, 68R10

  Keywords:

  Keywords and phrases: Even-hole-free graphs, star cutsets, 2-joins, recognition algorithm, decomposition,

  Doi:

  DOI: 10.2298/AADM100812027V

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• Title:

  SOME RESULTS ON MATCHING AND TOTAL DOMINATION IN GRAPHS

  Authors:

  Wai Chee Shiu, Xue-gang Chen, Wai Hong Chan

  Classification:

  2000 Mathematical Subject Classification: 05C69

  Keywords:

  Keywords and phrases: Matching number, induced matching number, total domination number

  Doi:

  DOI: 10.2298/AADM100219017S

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• Title:

  CHROMATICITY OF COMPLETE 4-PARTITE GRAPHS WITH CERTAIN STAR OR MATCHING DELETED

  Authors:

  G.C. Lau, Y.H. Peng

  Classification:

  2000 Mathematical Subject Classification: 05C15; 05C60

  Keywords:

  Keywords and phrases: Chromatic polynomial, chromatically closed, chromatic uniqueness

  Doi:

  DOI: 10.2298/AADM100512023L

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• Title:

  On spectral radius of the distance matrix

  Authors:

  Liu Zhongzhu

  Classification:

  2000 Mathematical Subject Classification: 05C50

  Keywords:

  Keywords and phrases: Distance matrix, spectral radius, vertex connectivity, matching number, chromatic number.

  Doi:

  DOI: 10.2298/AADM100428020L

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• Title:

  Groupies in random bipartite graphs

  Authors:

  Yilun Shang

  Classification:

  2000 Mathematical Subject Classification: 05C80

  Keywords:

  Keywords and phrases: Groupie, random graph, bipartite graph, average degree

  Doi:

  DOI: 10.2298/AADM100605021S

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• Title:

  Enumerating set partitions by the number of positions between adjacent occurrences of a letter

  Authors:

  Toufik Mansour, Mark Shattuck, Stephan Wagner

  Classification:

  2000 Mathematical Subject Classification: 05A18, 05A16

  Keywords:

  Keywords and phrases: Set partition, Stirling number, partition statistics

  Doi:

  DOI: 10.2298/AADM100425019M

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• Title:

  Growth of Meromorphic Solutions of Some Difference Equations

  Authors:

  Xiu-Min Zheng, Zong-Xuan Chen, Jin Tu

  Classification:

  2000 Mathematical Subject Classification: 30D35, 39B32

  Keywords:

  Keywords and phrases: Complex difference equation, homogeneous, order, Wiman-Valiron Theory

  Doi:

  DOI: 10.2298/AADM100512022Z

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• Title:

  Some oscillation criteria for second-order delay dynamic equations

  Authors:

  Raegan Higgins

  Classification:

  2000 Mathematical Subject Classification: 34K11, 34C10, 39A21

  Keywords:

  Keywords and phrases: Oscillation, delay equation, time scale, upper solution, lower solution

  Doi:

  DOI: 10.2298/AADM100425018H

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• Title:

  STURM-PICONE COMPARISON THEOREM FOR MATRIX SYSTEMS ON TIME SCALES

  Authors:

  Douglas R. Anderson, John R. Graef

  Classification:

  2000 Mathematical Subject Classification: 34C10, 34C15, 34N05, 39A11

  Keywords:

  Keywords and phrases: Time scales, matrix equations, comparison theorem, nonoscillation

  Doi:

  DOI: 10.2298/AADM100514024A

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• Title:

  Triple integral identities and zeta functions

  Authors:

  Anthony Sofo

  Classification:

  2000 Mathematical Subject Classification: 11B65, 05A10

  Keywords:

  Keywords and phrases: Zeta functions, triple integrals, binomial sums, integral representations

  Doi:

  DOI: 10.2298/AADM100515025S

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• Title:

  A note on boundedness of solutions to a class of non-autonomous differential equations of second order

  Authors:

  Cemil Tunç

  Classification:

  2000 Mathematical Subject Classification: 34C10, 34C11, 34D05

  Keywords:

  Keywords and phrases: Non-autonomous, differential equation, second order, boundedness

  Doi:

  DOI: 10.2298/AADM100601026T

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