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COMBINATORICA
2008
112views more  COMBINATORICA 2008»
15 years 24 days ago
On the rigidity of molecular graphs
The rigidity of squares of graphs in three-space has important applications to the study of flexibility in molecules. The Molecular Conjecture, posed in 1984 by T-S. Tay and W. Wh...
Bill Jackson, Tibor Jordán
CORR
2008
Springer
133views Education» more  CORR 2008»
15 years 24 days ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic
EJC
2008
15 years 23 days ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
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CORR
2006
Springer
131views Education» more  CORR 2006»
15 years 22 days ago
Analysis of LDGM and compound codes for lossy compression and binning
Abstract-- Recent work has suggested that low-density generator matrix (LDGM) codes are likely to be effective for lossy source coding problems. We derive rigorous upper bounds on ...
Emin Martinian, Martin J. Wainwright
COMBINATORICA
2007
81views more  COMBINATORICA 2007»
15 years 21 days ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo