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zbMATH Open
Article
Data sources: zbMATH Open
https://dx.doi.org/10.48550/ar...
Article . 1999
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
DBLP
Article . 1999
Data sources: DBLP
DBLP
Article . 1999
Data sources: DBLP
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Mutual search

Mutual search.
Authors: H.M. Buhrman (Harry); M. Franklin; J.A. Garay; J.H. Hoepman (Jaap-Henk); J.T. Tromp (John); P.M.B. Vitányi (Paul);
Abstract

We introduce a search problem called “mutual search” where k agents, arbitrarily distributed over n sites, are required to locate one another by posing queries of the form “Anybody at site i ?”. We ask for the least number of queries that is necessary and sufficient. For the case of two agents using deterministic protocols, we obtain the following worst-case results: In an oblivious setting (where all pre-planned queries are executed), there is no savings: n -1 queries are required and are sufficient. In a nonoblivious setting, we can exploit the paradigm of “no news is also news” to obtain significant savings: in the synchronous case 0.586 n queries are required; in the asynchronous case 0.896 n queries suffice and a fortiori 0.536 n queries are required; for o(√n) agents using a synchronous deterministic protocol less than n queries suffice; there is a simple randomized protocol for two agents with worst-case expected 0.5 n queries and all radomized protocols require at least 0.25 n worst-case expected queries. The graph-theoretic framework we formulate for expressing and analyzing algorithms for this problem may be of independent interest.

Country
Netherlands
Keywords

FOS: Computer and information sciences, Discrete Mathematics (cs.DM), Databases (cs.DB), Computational Complexity (cs.CC), F.2,C.2,E,1,D.4.4, Computer Science - Information Retrieval, Computer Science - Computational Complexity, Computer Science - Databases, Computer Science - Distributed, Parallel, and Cluster Computing, Computer Science - Data Structures and Algorithms, Data Structures and Algorithms (cs.DS), Distributed, Parallel, and Cluster Computing (cs.DC), Problem solving in the context of artificial intelligence (heuristics, search strategies, etc.), Information Retrieval (cs.IR), Computer Science - Discrete Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
6
Average
Top 10%
Average
Green