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COMBINATORICS
2004
94views more  COMBINATORICS 2004»
14 years 9 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...
CORR
2010
Springer
198views Education» more  CORR 2010»
14 years 6 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
82
Voted
ICALP
2011
Springer
14 years 1 months ago
Clustering with Local Restrictions
We study a family of graph clustering problems where each cluster has to satisfy a certain local requirement. Formally, let µ be a function on the subsets of vertices of a graph G...
Daniel Lokshtanov, Dániel Marx
GLOBECOM
2006
IEEE
15 years 3 months ago
Protograph LDPC Codes with Node Degrees at Least 3
— In this paper we present protograph codes with a small number of degree-3 nodes and one high degree node. The iterative decoding threshold for proposed rate 1/2 codes are lower...
Dariush Divsalar, Christopher Jones
76
Voted
INFOCOM
2005
IEEE
15 years 3 months ago
Buffer sizing for congested Internet links
— Packet buffers in router/switch interfaces constitute a central element of packet networks. The appropriate sizing of these buffers is an important and open research problem. M...
Amogh Dhamdhere, Hao Jiang, Constantinos Dovrolis