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» On Routing in Circulant Graphs
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FOCS
2008
IEEE
15 years 4 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
MOBIQUITOUS
2007
IEEE
15 years 4 months ago
Assessing Standard and Inverted Skip Graphs Using Multi-Dimensional Range Queries and Mobile Nodes
—The skip graph, an application-layer data structure for routing and indexing, may be used in a sensor network to facilitate queries of the distributed k-dimensional data collect...
Gregory J. Brault, Christopher J. Augeri, Barry E....
SWAT
2004
Springer
129views Algorithms» more  SWAT 2004»
15 years 3 months ago
Collective Tree Spanners of Graphs
In this paper we introduce a new notion of collective tree spanners. We say that a graph G = (V, E) admits a system of µ collective additive tree r-spanners if there is a system T...
Feodor F. Dragan, Chenyu Yan, Irina Lomonosov
JGAA
2006
127views more  JGAA 2006»
14 years 10 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
OL
2011
242views Neural Networks» more  OL 2011»
14 years 4 months ago
On connected domination in unit ball graphs
Given a simple undirected graph, the minimum connected dominating set problem is to find a minimum cardinality subset of vertices D inducing a connected subgraph such that each ve...
Sergiy Butenko, Sera Kahruman-Anderoglu, Oleksii U...