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» On Bounds for the k-Partitioning of Graphs
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PAMI
2006
141views more  PAMI 2006»
15 years 6 months ago
Diffusion Maps and Coarse-Graining: A Unified Framework for Dimensionality Reduction, Graph Partitioning, and Data Set Parameter
We provide evidence that non-linear dimensionality reduction, clustering and data set parameterization can be solved within one and the same framework. The main idea is to define ...
Stéphane Lafon, Ann B. Lee
JCO
2007
97views more  JCO 2007»
15 years 6 months ago
Restricted domination parameters in graphs
In a graph G, a vertex dominates itself and its neighbors. A subset S ⊆ V (G) is an m-tuple dominating set if S dominates every vertex of G at least m times, and an m-dominating...
Wayne Goddard, Michael A. Henning
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
16 years 6 months ago
Testing subgraphs in directed graphs
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
Noga Alon, Asaf Shapira
STOC
2005
ACM
163views Algorithms» more  STOC 2005»
16 years 6 months ago
Undirected ST-connectivity in log-space
We present a deterministic, log-space algorithm that solves st-connectivity in undirected graphs. The previous bound on the space complexity of undirected st-connectivity was log4...
Omer Reingold
CDC
2008
IEEE
122views Control Systems» more  CDC 2008»
16 years 25 days ago
On the number of leaders needed to ensure network connectivity
— In this paper we examine the leader-to-follower ratio needed to maintain connectivity in a leader-follower multiagent network with proximity based communication topology. In th...
Dimos V. Dimarogonas, Tove Gustavi, Magnus Egerste...