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  Computing Mimicking Networks

Chaudhuri, S., Subrahmanyam, K. V., Wagner, F., & Zaroliagis, C. (1998). Computing Mimicking Networks. In K. G. Larsen, S. Skyum, & G. Winskel (Eds.), Proceedings of the 25th International Colloquium on Automata, Languages and Programming (ICALP-98) (pp. 556-567). Berlin, Germany: Springer.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3776-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-000F-3778-1
Genre: Conference Paper

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 Creators:
Chaudhuri, Shiva1, Author           
Subrahmanyam, K. V.1, Author           
Wagner, Frank1, Author           
Zaroliagis, Christos1, Author           
Affiliations:
1Algorithms and Complexity, MPI for Informatics, Max Planck Society, ou_24019              

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 Abstract: A {\em mimicking network} for a $k$-terminal network, $N$, is one whose realizable external flows are the same as those of $N$. Let $S(k)$ denote the minimum size of a mimicking network for a $k$-terminal network. In this paper we give new constructions of mimicking networks and prove the following results (the values in brackets are the previously best known results): $S(4)=5~[2^{16}]$, $S(5)=6~[2^{32}]$. For bounded treewidth networks we show $S(k)= O(k)~[2^{2^{k}}]$, and for outerplanar networks we show $S(k) \leq 10k-6~[k^22^{k+2}]$.

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Language(s): eng - English
 Dates: 2010-03-021998
 Publication Status: Issued
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: eDoc: 517992
Other: Local-ID: C1256428004B93B8-1774120C925E283DC1256723006321B1-Chauduri-Subrahmanyam-Wagner-Zaroliagis-98
 Degree: -

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Title: Untitled Event
Place of Event: Aalborg, Denmark
Start-/End Date: 1998

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Title: Proceedings of the 25th International Colloquium on Automata, Languages and Programming (ICALP-98)
Source Genre: Proceedings
 Creator(s):
Larsen, Kim G., Editor
Skyum, Sven, Editor
Winskel, Glynn, Editor
Affiliations:
-
Publ. Info: Berlin, Germany : Springer
Pages: - Volume / Issue: - Sequence Number: - Start / End Page: 556 - 567 Identifier: -

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Title: Lecture Notes in Computer Science
Source Genre: Series
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Publ. Info: -
Pages: - Volume / Issue: 1443 Sequence Number: - Start / End Page: - Identifier: -