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» On Bounds for the k-Partitioning of Graphs
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SIAMDM
2010
110views more  SIAMDM 2010»
14 years 4 months ago
Embedding Spanning Trees in Random Graphs
We prove that if T is a tree on n vertices with maximum degree and the edge probability p(n) satisfies: np C max{ log n, n } for some constant > 0, then with high probability...
Michael Krivelevich
MST
2002
152views more  MST 2002»
14 years 9 months ago
Average-Case Analysis of Greedy Packet Scheduling
We study the average number of delays suffered by packets routed using greedy (work conserving) scheduling policies. We obtain tight bounds on the worst-case average number of del...
Zvi Lotker, Boaz Patt-Shamir
GC
2010
Springer
14 years 8 months ago
Integer Functions on the Cycle Space and Edges of a Graph
A directed graph has a natural Z-module homomorphism from the underlying graph’s cycle space to Z where the image of an oriented cycle is the number of forward edges minus the n...
Daniel C. Slilaty
TVCG
2010
141views more  TVCG 2010»
14 years 8 months ago
Fast Construction of k-Nearest Neighbor Graphs for Point Clouds
—We present a parallel algorithm for k-nearest neighbor graph construction that uses Morton ordering. Experiments show that our approach has the following advantages over existin...
Michael Connor, Piyush Kumar
INFOCOM
2012
IEEE
13 years 8 days ago
Sparse recovery with graph constraints: Fundamental limits and measurement construction
—This paper addresses the problem of sparse recovery with graph constraints in the sense that we can take additive measurements over nodes only if they induce a connected subgrap...
Meng Wang, Weiyu Xu, Enrique Mallada, Ao Tang