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    DM
    2008
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    Largest subsemigroups of the full transformation monoid
    13 years 11 months ago
    Largest subsemigroups of the full transformation monoid
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    In this paper we are concerned with the following question: for a semigroup S, what is the largest size of a subsemigroup T S where T has a given property? The semigroups S that w...
    R. Gray, J. D. Mitchell
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    DM
    2008
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    A special class of tensor categories initiated by inverse braid monoids
    13 years 11 months ago
    A special class of tensor categories initiated by inverse braid monoids
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    In this paper, we introduce the concept of a wide tensor category which is a special class of a tensor category initiated by the inverse braid monoids recently investigated by Eas...
    Fang Li, Haijun Cao, Guojun Wang
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    DM
    2008
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    New identities for 7-cores with prescribed BG-rank
    13 years 11 months ago
    New identities for 7-cores with prescribed BG-rank
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    Let be a partition. BG-rank() is defined as an alternating sum of parities of parts of [1]. In [2], Berkovich and Garvan found theta series representations for the t-core generat...
    Alexander Berkovich, Hamza Yesilyurt
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    DM
    2008
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    An adjacency lemma for critical multigraphs
    13 years 11 months ago
    An adjacency lemma for critical multigraphs
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    In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
    David Cariolaro
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    DM
    2008
    77views more  DM 2008»
    On 2-factors with k components
    13 years 11 months ago
    On 2-factors with k components
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    Gábor N. Sárközy
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    DM
    2008
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    Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
    13 years 11 months ago
    Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
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    We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is hamiltonian) and by Fleischne...
    Hajo Broersma, Gasper Fijavz, Tomás Kaiser,...
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    DM
    2008
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    On non-antipodal binary completely regular codes
    13 years 11 months ago
    On non-antipodal binary completely regular codes
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    Joaquim Borges, Josep Rifà, Victor A. Zinov...
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    DM
    2008
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    Wilf classification of three and four letter signed patterns
    13 years 11 months ago
    Wilf classification of three and four letter signed patterns
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    We give some new Wilf equivalences for signed patterns which allow the complete classification of signed patterns of lengths three and four. The problem is considered for pattern a...
    W. M. B. Dukes, Toufik Mansour, Astrid Reifegerste
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    DM
    2008
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    Retractions onto series-parallel posets
    13 years 11 months ago
    Retractions onto series-parallel posets
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    The poset retraction problem for a poset P is whether a given poset Q containing P as a subposet admits a retraction onto P, that is, whether there is a homomorphism from Q onto P...
    Víctor Dalmau, Andrei A. Krokhin, Benoit La...
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    DM
    2008
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    Contractibility and the clique graph operator
    13 years 11 months ago
    Contractibility and the clique graph operator
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    Francisco Larrión, Miguel A. Pizaña,...
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