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EJC
2008
14 years 9 months ago
Linked partitions and linked cycles
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...
EJC
2008
14 years 9 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
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
EJC
2008
14 years 9 months ago
Some existence and construction results of polygonal designs
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...
EJC
2008
14 years 9 months ago
Substitution tilings with statistical circular symmetry
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
EJC
2008
14 years 9 months ago
Catalan and Motzkin numbers modulo 4 and 8
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