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» Symmetric Enumeration Reducibility
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UC
2005
Springer
14 years 3 months ago
On Computational Complexity of Counting Fixed Points in Symmetric Boolean Graph Automata
Abstract. We study computational complexity of counting the fixed point configurations (FPs) in certain classes of graph automata viewed as discrete dynamical systems. We prove t...
Predrag T. Tosic, Gul A. Agha
JCT
2008
57views more  JCT 2008»
13 years 9 months ago
Partially directed paths in a wedge
The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both ...
E. J. Janse van Rensburg, T. Prellberg, A. Rechnit...
JCT
2006
55views more  JCT 2006»
13 years 9 months ago
A proof of the q, t-square conjecture
We prove a combinatorial formula conjectured by Loehr and Warrington for the coefficient of the sign character in (pn). Here denotes the Bergeron-Garsia nabla operator, and pn is a...
Mahir Can, Nicholas A. Loehr
JCT
2008
103views more  JCT 2008»
13 years 9 months ago
A bijective proof of Jackson's formula for the number of factorizations of a cycle
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
Gilles Schaeffer, Ekaterina A. Vassilieva
CIE
2005
Springer
14 years 3 months ago
Computably Enumerable Sets in the Solovay and the Strong Weak Truth Table Degrees
The strong weak truth table reducibility was suggested by Downey, Hirschfeldt, and LaForte as a measure of relative randomness, alternative to the Solovay reducibility. It also occ...
George Barmpalias