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Distinguishing views in symmetric networks: A tight lower bound

Abstract

The view of a node in a port-labeled network is an infinite tree encoding all walks in the network originating from this node. We prove that for any integers n ≥ D ≥ 1, there exists a port-labeled network with at most n nodes and diameter at most D which contains a pair of nodes whose (infinite) views are different, but whose views truncated to depth Omega( D log(n/ D )) are identical.

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DOI:
Digital Object Identifier (open in new tab) 10.1016/j.tcs.2015.03.018
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Copyright (2015 Elsevier B.V)

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Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
THEORETICAL COMPUTER SCIENCE no. 582, pages 27 - 34,
ISSN: 0304-3975
Language:
English
Publication year:
2015
Bibliographic description:
Dereniowski D., Kosowski A., Pająk .: Distinguishing views in symmetric networks: A tight lower bound// THEORETICAL COMPUTER SCIENCE. -Vol. 582, (2015), s.27-34
DOI:
Digital Object Identifier (open in new tab) 10.1016/j.tcs.2015.03.018
Verified by:
Gdańsk University of Technology

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