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    EJC
    2008
    101views Information Technology» more  EJC 2008»
    Locally constrained graph homomorphisms and equitable partitions
    14 years 15 days ago
    Locally constrained graph homomorphisms and equitable partitions
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    We explore the connection between locally constrained graph homomorphisms and degree matrices arising from an equitable partition of a graph. We provide several equivalent charact...
    Jirí Fiala, Daniël Paulusma, Jan Arne ...
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    EJC
    2008
    76views Information Technology» more  EJC 2008»
    Combinatorial proofs of identities in basic hypergeometric series
    14 years 15 days ago
    Combinatorial proofs of identities in basic hypergeometric series
    Download  www.math.psu.edu
    In this paper, the q
    Ae Ja Yee
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    EJC
    2008
    114views Information Technology» more  EJC 2008»
    Catalan and Motzkin numbers modulo 4 and 8
    14 years 15 days ago
    Catalan and Motzkin numbers modulo 4 and 8
    Download  www.math.sinica.edu.tw
    In this paper, we compute the congruences of Catalan and Motzkin numbers modulo 4 and 8. in particular, we prove the conjecture proposed by Deutsch and Sagan that no Motzkin numbe...
    Sen-Peng Eu, Shu-Chung Liu, Yeong-Nan Yeh
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    EJC
    2008
    70views Information Technology» more  EJC 2008»
    Substitution tilings with statistical circular symmetry
    14 years 15 days ago
    Substitution tilings with statistical circular symmetry
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    Two new series of substitution tilings are introduced in which the tiles appear in infinitely many orientations. It is shown that several properties of the well-known pinwheel tili...
    Dirk Frettlöh
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    EJC
    2008
    148views Information Technology» more  EJC 2008»
    On the adaptable chromatic number of graphs
    14 years 15 days ago
    On the adaptable chromatic number of graphs
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    The adaptable chromatic number of a graph G is the smallest integer k such that for any edge k-colouring of G there exists a vertex kcolouring of G in which the same colour never ...
    Pavol Hell, Xuding Zhu
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    EJC
    2008
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    Some existence and construction results of polygonal designs
    14 years 15 days ago
    Some existence and construction results of polygonal designs
    Download  orion.math.iastate.edu
    This paper revisits the existence and construction problems for polygonal designs (a special class of partially balanced incomplete block designs associated with regular polygons)...
    Gargi Bhattacharyya, John Hegeman, Joohyung Kim, J...
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    EJC
    2008
    78views Information Technology» more  EJC 2008»
    Eriksson's numbers game and finite Coxeter groups
    14 years 15 days ago
    Eriksson's numbers game and finite Coxeter groups
    Download  campus.murraystate.edu
    The numbers game is a one-player game played on a finite simple graph with certain "amplitudes" assigned to its edges and with an initial assignment of real numbers to i...
    Robert G. Donnelly
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    EJC
    2008
    134views Information Technology» more  EJC 2008»
    Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
    14 years 15 days ago
    Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
    Download  iti.mff.cuni.cz
    We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
    Jaroslav Nesetril, Patrice Ossona de Mendez
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    EJC
    2008
    116views Information Technology» more  EJC 2008»
    On tension-continuous mappings
    14 years 15 days ago
    On tension-continuous mappings
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    Tension-continuous (shortly TT) mappings are mappings between the edge sets of graphs. They generalize graph homomorphisms. From another perspective, tension-continuous mappings a...
    Jaroslav Nesetril, Robert Sámal
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    EJC
    2008
    120views Information Technology» more  EJC 2008»
    Linked partitions and linked cycles
    14 years 15 days ago
    Linked partitions and linked cycles
    Download  www.billchen.org
    The notion of noncrossing linked partition arose from the study of certain transforms in free probability theory. It is known that the number of noncrossing linked partitions of [...
    William Y. C. Chen, Susan Y. J. Wu, Catherine H. Y...
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