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ASE
2010
126views more  ASE 2010»
13 years 10 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
CORR
2010
Springer
95views Education» more  CORR 2010»
13 years 10 months ago
Deciding the finiteness of the number of simple permutations contained in a wreath-closed class is polynomial
We present an algorithm running in time O(n log n) which decides if a wreathclosed permutation class Av(B) given by its finite basis B contains a finite number of simple permutati...
Frédérique Bassino, Mathilde Bouvel,...
DM
2008
177views more  DM 2008»
13 years 10 months ago
The independence number in graphs of maximum degree three
We prove that a K4-free graph G of order n, size m and maximum degree at most three has an independent set of cardinality at least 1 7 (4n - m - - tr) where counts the number of c...
Jochen Harant, Michael A. Henning, Dieter Rautenba...
COMBINATORICS
2006
126views more  COMBINATORICS 2006»
13 years 10 months ago
Bounding the Number of Edges in Permutation Graphs
Given an integer s 0 and a permutation Sn, let ,s be the graph on n vertices {1, . . . , n} where two vertices i < j are adjacent if the permutation flips their order and th...
Peter Keevash, Po-Shen Loh, Benny Sudakov
DAM
2006
102views more  DAM 2006»
13 years 10 months ago
Secret sharing schemes on access structures with intersection number equal to one
The characterization of ideal access structures and the search for bounds on the optimal information rate are two important problems in secret sharing. These problems are studied ...
Jaume Martí-Farré, Carles Padr&oacut...