Title
Recognition problems and communication complexity
Abstract
A special case of combinatorial search, the recognition problem is examined in this article. (H,A,f) is a recognition problem if H is a set, A is a set system on H and f:H→{0,1} is a function. Someone chooses an arbitrary x∈H and instead of determining x itself (which is the case in most of the search problems) we only have to determine the value f(x) for the given function f from as few questions of type “is x∈A?” as possible, where A∈A. The smallest number of questions needed in the worst case is called the recognition complexity of f over A on H. After surveying some general results, a new class of set systems is introduced and analyzed, generalizing Yao's model of two-party communication complexity.
Year
DOI
Venue
2004
10.1016/S0166-218X(03)00192-6
Discrete Applied Mathematics
Keywords
Field
DocType
94A05,94A50
Discrete mathematics,Combinatorics,Generalization,Communication complexity,Search problem,Combinatorial search,Partially ordered set,Mathematics,Special case
Journal
Volume
Issue
ISSN
137
1
0166-218X
Citations 
PageRank 
References 
0
0.34
1
Authors
1
Name
Order
Citations
PageRank
Gábor Wiener16410.65