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» The reconstruction conjecture and edge ideals
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DM
2008
79views more  DM 2008»
13 years 4 months ago
The reconstruction conjecture and edge ideals
Given a simple graph G on n vertices, we prove that it is possible to reconstruct several algebraic properties of the edge ideal from the deck of G, that is, from the collection o...
Kia Dalili, Sara Faridi, Will Traves
DAGM
2009
Springer
13 years 11 months ago
Fast and Accurate 3D Edge Detection for Surface Reconstruction
Although edge detection is a well investigated topic, 3D edge detectors mostly lack either accuracy or speed. We will show, how to build a highly accurate subvoxel edge detector, w...
Christian Bähnisch, Peer Stelldinger, Ullrich...
STOC
2006
ACM
129views Algorithms» more  STOC 2006»
14 years 5 months ago
Optimal phylogenetic reconstruction
One of the major tasks of evolutionary biology is the reconstruction of phylogenetic trees from molecular data. The evolutionary model is given by a Markov chain on the true evolu...
Constantinos Daskalakis, Elchanan Mossel, Sé...
JCB
1998
105views more  JCB 1998»
13 years 4 months ago
Constructing and Counting Phylogenetic Invariants
Abstract. The method of invariants is an approach to the problem of reconstructing the phylogenetic tree of a collection of m taxa using nucleotide sequence data. Models for the re...
Steven N. Evans, Xiaowen Zhou
FOCS
2007
IEEE
13 years 11 months ago
Non-Linear Index Coding Outperforming the Linear Optimum
The following source coding problem was introduced by Birk and Kol: a sender holds a word x ∈ {0, 1}n , and wishes to broadcast a codeword to n receivers, R1, . . . , Rn. The re...
Eyal Lubetzky, Uri Stav