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Interleaving Schemes on Circulant Graphs

Slivkins, Aleksandrs and Bruck, Jehoshua (2002) Interleaving Schemes on Circulant Graphs. California Institute of Technology . (Unpublished)

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Interleaving schemes are used for error-correcting on a noisy channel. We consider interleaving schemes on infinite circulant graphs with two offsets 1 and d, with a goal to minimize the interleaving degree. Our constructions are minimal covers of the graph by copies of some subgraph S that can be labeled by a single label. We focus on minimizing the index of S - an inverse of its density rounded up. We establish lower bounds and prove that our constructions are optimal or almost optimal, both for the index of S and for the interleaving degree. We identify related combinatorial questions and advance conjectures.

Item Type:Report or Paper (Technical Report)
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URLURL TypeDescription
Bruck, Jehoshua0000-0001-8474-0812
Group:Parallel and Distributed Systems Group
Record Number:CaltechPARADISE:2002.ETR046
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Usage Policy:You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.
ID Code:26076
Deposited By: Imported from CaltechPARADISE
Deposited On:18 Nov 2002
Last Modified:22 Nov 2019 09:58

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