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ISCI
2011
15 years 1 months ago
Augmented k-ary n-cubes
We define an interconnection network AQn,k which we call the augmented kary n-cube by extending a k-ary n-cube in a manner analogous to the existing extension of an n-dimensional...
Yonghong Xiang, Iain A. Stewart
JAIR
2011
166views more  JAIR 2011»
15 years 1 months ago
Decidability and Undecidability Results for Propositional Schemata
We define a logic of propositional formula schemata adding to the syntax of propositional logic indexed propositions (e.g., pi) and iterated connectives ∨ or ∧ ranging over i...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
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JCT
2011
104views more  JCT 2011»
15 years 1 months ago
Bounds for solid angles of lattices of rank three
We find sharp absolute constants C1 and C2 with the following property: every well-rounded lattice of rank 3 in a Euclidean space has a minimal basis so that the solid angle spann...
Lenny Fukshansky, Sinai Robins
JCT
2011
57views more  JCT 2011»
15 years 1 months ago
Generalized Stirling permutations, families of increasing trees and urn models
Bona [6] studied the distribution of ascents, plateaux and descents in the class of Stirling permutations, introduced by Gessel and Stanley [14]. Recently, Janson [18] showed the c...
Svante Janson, Markus Kuba, Alois Panholzer
JCT
2011
86views more  JCT 2011»
15 years 1 months ago
Descendant-homogeneous digraphs
The descendant set desc(α) of a vertex α in a digraph D is the set of vertices which can be reached by a directed path from α. A subdigraph of D is finitely generated if it is...
Daniela Amato, John K. Truss
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