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COMGEO
2010
ACM
14 years 17 days ago
Mixed volume techniques for embeddings of Laman graphs
We use Bernstein's Theorem [1] to obtain combinatorial bounds for the number of embeddings of Laman graph frameworks modulo rigid motions. For this, we study the mixed volume...
Reinhard Steffens, Thorsten Theobald
CCCG
2001
14 years 1 months ago
Geometric permutations of balls with bounded size disparity
We study combinatorial bounds for geometric permutations of balls with bounded size disparity in d-space. Our main contribution is the following theorem: given a set S of n disjoi...
Yunhong Zhou, Subhash Suri
FOCS
1995
IEEE
14 years 4 months ago
Reconstructing Strings from Substrings in Rounds
We establish a variety of combinatorial bounds on the tradeo s inherent in reconstructing strings using few rounds of a given number of substring queries per round. These results ...
Dimitris Margaritis, Steven Skiena