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» On Routing in Circulant Graphs
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FOCS
2008
IEEE
16 years 19 days 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
16 years 14 days 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 11 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»
15 years 6 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»
15 years 1 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...