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116
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COMPGEOM
2010
ACM
15 years 5 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...
108
Voted
COMPGEOM
2010
ACM
15 years 5 months ago
The complexity of the normal surface solution space
Normal surface theory is a central tool in algorithmic threedimensional topology, and the enumeration of vertex normal surfaces is the computational bottleneck in many important a...
Benjamin A. Burton
143
Voted
COMPGEOM
1992
ACM
15 years 4 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
SIAMSC
2010
136views more  SIAMSC 2010»
14 years 7 months ago
A Krylov Method for the Delay Eigenvalue Problem
Abstract. The Arnoldi method is currently a very popular algorithm to solve large-scale eigenvalue problems. The main goal of this paper is to generalize the Arnoldi method to the ...
Elias Jarlebring, Karl Meerbergen, Wim Michiels
242
Voted
COMPGEOM
2011
ACM
14 years 4 months ago
Minors in random and expanding hypergraphs
We introduce a new notion of minors for simplicial complexes (hypergraphs), so-called homological minors. Our motivation is to propose a general approach to attack certain extrema...
Uli Wagner