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ASE
2010
126views more  ASE 2010»
14 years 11 months ago
Generating a checking sequence with a minimum number of reset transitions
Given a finite state machine M, a checking sequence is an input sequence that is guaranteed to lead to a failure if the implementation under test is faulty and has no more states t...
Robert M. Hierons, Hasan Ural
DM
1998
60views more  DM 1998»
14 years 10 months ago
On numbers of Davenport-Schinzel sequences
One class of Davenport-Schinzel sequences consists of finite sequences over n symbols without immediate repetitions and without any subsequence of the type abab. We present a bij...
Martin Klazar
DM
2006
124views more  DM 2006»
14 years 11 months ago
Hall ratio of the Mycielski graphs
Let n(G) denote the number of vertices of a graph G and let (G) be the independence number of G, the maximum number of pairwise nonadjacent vertices of G. The Hall ratio of a grap...
Mathew Cropper, András Gyárfá...
COMBINATORICS
2000
92views more  COMBINATORICS 2000»
14 years 11 months ago
Asymptotics for the Probability of Connectedness and the Distribution of Number of Components
Let n be the fraction of structures of size" n which are connected"; e.g., a the fraction of labeled or unlabeled n-vertex graphshavingone component, b the fraction of p...
Jason P. Bell, Edward A. Bender, Peter J. Cameron,...
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FOCS
2002
IEEE
15 years 4 months ago
The Hardness of 3 - Uniform Hypergraph Coloring
We prove that coloring a 3-uniform 2-colorable hypergraph with c colors is NP-hard for any constant c. The best known algorithm [20] colors such a graph using O(n1/5 ) colors. Our...
Irit Dinur, Oded Regev, Clifford D. Smyth