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94
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CC
2006
Springer
133views System Software» more  CC 2006»
15 years 25 days ago
The complexity of chromatic strength and chromatic edge strength
The sum of a coloring is the sum of the colors assigned to the vertices (assuming that the colors are positive integers). The sum (G) of graph G is the smallest sum that can be ach...
Dániel Marx
CORR
2012
Springer
183views Education» more  CORR 2012»
13 years 8 months ago
Twisting q-holonomic sequences by complex roots of unity
A sequence fn(q) is q-holonomic if it satisfies a nontrivial linear recurrence with coefficients polynomials in q and qn . Our main theorem states that q-holonomicity is preserve...
Stavros Garoufalidis, Christoph Koutschan
81
Voted
CSR
2009
Springer
15 years 7 months ago
Variations on Muchnik's Conditional Complexity Theorem
Muchnik’s theorem about simple conditional descriptions states that for all strings a and b there exists a short program p transforming a to b that has the least possible length ...
Daniil Musatov, Andrei E. Romashchenko, Alexander ...
116
Voted
TARK
2009
Springer
15 years 7 months ago
Logical omniscience as a computational complexity problem
The logical omniscience feature assumes that an epistemic agent knows all logical consequences of her assumptions. This paper offers a general theoretical framework that views log...
Sergei N. Artëmov, Roman Kuznets
ICALP
2001
Springer
15 years 5 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot