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» On the Complexity of the Sperner Lemma
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COMBINATORICA
2006
137views more  COMBINATORICA 2006»
13 years 6 months ago
Extremal Problems For Transversals In Graphs With Bounded Degree
We introduce and discuss generalizations of the problem of independent transversals. Given a graph property R, we investigate whether any graph of maximum degree at most d with a ...
Tibor Szabó, Gábor Tardos
EJC
1998
13 years 6 months ago
A Convexity Lemma and Expansion Procedures for Bipartite Graphs
A hierarchy of classes of graphs is proposed which includes hypercubes, acyclic cubical complexes, median graphs, almost median graphs, premedian graphs and partial cubes. Structu...
Wilfried Imrich, Sandi Klavzar
DAM
2008
85views more  DAM 2008»
13 years 6 months ago
On the complexity of constrained VC-classes
Sauer's Lemma is extended to classes HN of binary-valued functions h on [n] = {1, . . . , n} which have a margin less than or equal to N on all x [n] with h(x) = 1, where th...
Joel Ratsaby
STOC
2009
ACM
181views Algorithms» more  STOC 2009»
14 years 6 months ago
The detectability lemma and quantum gap amplification
The quantum analog of a constraint satisfaction problem is a sum of local Hamiltonians - each (term of the) Hamiltonian specifies a local constraint whose violation contributes to...
Dorit Aharonov, Itai Arad, Zeph Landau, Umesh V. V...
FOCS
2003
IEEE
13 years 11 months ago
List-Decoding Using The XOR Lemma
We show that Yao’s XOR Lemma, and its essentially equivalent rephrasing as a Direct Product Lemma, can be re-interpreted as a way of obtaining error-correcting codes with good l...
Luca Trevisan