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    ARSCOM
    2005
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    Avoidable Sets in The Bicyclic Inverse Semigroup
    14 years 14 days ago
    Avoidable Sets in The Bicyclic Inverse Semigroup
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    A subset U of a set S with a binary operation is called avoidable if S can be partitioned into two subsets A and B such that no element of U can be written as a product of two dis...
    Nándor Sieben
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    ARSCOM
    2005
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    Hamilton Paths in Certain Arithmetic Graphs
    14 years 14 days ago
    Hamilton Paths in Certain Arithmetic Graphs
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    For each integer m 1, consider the graph Gm whose vertex set is the set N = {0, 1, 2, . . . } of natural numbers and whose edges are the pairs xy with y = x + m or y = x - m or y...
    Paul A. Russell
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    ARSCOM
    2005
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    On multi-avoidance of generalized patterns
    14 years 14 days ago
    On multi-avoidance of generalized patterns
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    In [Kit1] Kitaev discussed simultaneous avoidance of two 3-patterns with no internal dashes, that is, where the patterns correspond to contiguous subwords in a permutation. In thre...
    Sergey Kitaev, Toufik Mansour
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    ARSCOM
    2005
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    Simultaneous Avoidance Of Generalized Patterns
    14 years 14 days ago
    Simultaneous Avoidance Of Generalized Patterns
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    In [BabStein] Babson and Steingr
    Sergey Kitaev, Toufik Mansour
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    ARSCOM
    2005
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    Supereulerian planar graphs
    14 years 14 days ago
    Supereulerian planar graphs
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    We investigate the supereulerian graph problems within planar graphs, and we prove that if a 2-edge-connected planar graph G is at most three edges short of having two edge-disjoi...
    Hong-Jian Lai, Deying Li, Jingzhong Mao, Mingquan ...
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    ARSCOM
    2005
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    Further results for partitions into four squares of equal parity
    14 years 14 days ago
    Further results for partitions into four squares of equal parity
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    We prove several results dealing with various counting functions for partitions of an integer into four squares of equal parity. Some are easy consequences of earlier work, but tw...
    Michael D. Hirschhorn, James A. Sellers
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    ARSCOM
    2005
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    The Elimination Procedure for the Phylogeny Number
    14 years 14 days ago
    The Elimination Procedure for the Phylogeny Number
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    Stephen G. Hartke
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    ARSCOM
    2005
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    Chromatic Equivalence of Generalized Ladder Graphs
    14 years 14 days ago
    Chromatic Equivalence of Generalized Ladder Graphs
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    A class of graphs called generalized ladder graphs is defined. A sufficient condition for pairs of these graphs to be chromatically equivalent is proven. In addition a formula for...
    Stephen Guattery, Gary Haggard, Ronald C. Read
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    ARSCOM
    2005
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    Binary Strings Without Odd Runs of Zeros
    14 years 14 days ago
    Binary Strings Without Odd Runs of Zeros
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    We look at binary strings of length n which contain no odd run of zeros and express the total number of such strings, the number of zeros, the number of ones, the total number of ...
    Ralph Grimaldi, Silvia Heubach
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    ARSCOM
    2005
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    Properties for a Certain Family of Knot Diagrams
    14 years 14 days ago
    Properties for a Certain Family of Knot Diagrams
    Download  www.math.psu.edu
    Darrin D. Frey, James A. Sellers
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