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CIE
2006
Springer
13 years 11 months ago
On Graph Isomorphism for Restricted Graph Classes
Abstract. Graph isomorphism (GI) is one of the few remaining problems in NP whose complexity status couldn't be solved by classifying it as being either NP-complete or solvabl...
Johannes Köbler
AB
2008
Springer
13 years 9 months ago
The Geometry of the Neighbor-Joining Algorithm for Small Trees
In 2007, Eickmeyer et al. showed that the tree topologies outputted by the Neighbor-Joining (NJ) algorithm and the balanced minimum evolution (BME) method for phylogenetic reconstr...
Kord Eickmeyer, Ruriko Yoshida
COMPGEOM
2005
ACM
13 years 9 months ago
Inclusion-exclusion formulas from independent complexes
Using inclusion-exclusion, we can write the indicator function of a union of finitely many balls as an alternating sum of indicator functions of common intersections of balls. We...
Dominique Attali, Herbert Edelsbrunner
COMPGEOM
2005
ACM
13 years 9 months ago
Inequalities for the curvature of curves and surfaces
In this paper, we bound the difference between the total mean curvatures of two closed surfaces in R3 in terms of their total absolute curvatures and the Fr´echet distance betwee...
David Cohen-Steiner, Herbert Edelsbrunner
COMPGEOM
2005
ACM
13 years 9 months ago
Stability of persistence diagrams
The persistence diagram of a real-valued function on a topological space is a multiset of points in the extended plane. We prove that under mild assumptions on the function, the p...
David Cohen-Steiner, Herbert Edelsbrunner, John Ha...