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» Minimal paths and cycles in set systems
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EJC
2007
14 years 10 months ago
Minimal paths and cycles in set systems
A minimal k-cycle is a family of sets A0, . . . , Ak−1 for which Ai ∩ Aj = ∅ if and only if i = j or i and j are consecutive modulo k. Let fr(n, k) be the maximum size of a ...
Dhruv Mubayi, Jacques Verstraëte
TPDS
2010
109views more  TPDS 2010»
14 years 9 months ago
Minimal Sets of Turns for Breaking Cycles in Graphs Modeling Networks
Abstract—We propose an algorithm that provides for deadlockfree and livelock-free routing, in particular in wormhole routed networks. The proposed algorithm requires nearly minim...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa
TPDS
2008
199views more  TPDS 2008»
14 years 10 months ago
DCMP: A Distributed Cycle Minimization Protocol for Peer-to-Peer Networks
Abstract-- Broadcast-based Peer-to-Peer (P2P) networks, including flat (e.g., Gnutella) and two-layer super-peer implementations (e.g., Kazaa), are extremely popular nowadays due t...
Zhenzhou Zhu, Panos Kalnis, Spiridon Bakiras
EJC
2008
14 years 9 months ago
Locating sensors in paths and cycles: The case of 2-identifying codes
For a graph G and a set D V (G), define Nr[x] = {xi V (G) : d(x, xi) r} (where d(x, y) is graph theoretic distance) and Dr(x) = Nr[x] D. D is known as an r-identifying code if...
David L. Roberts, Fred S. Roberts
NETWORKS
2007
14 years 10 months ago
Vertex disjoint routings of cycles over tori
We study the problem of designing a survivable WDM network based on covering the communication requests with subnetworks that are protected independently from each other. We consi...
Jean-Claude Bermond, Min-Li Yu