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ENDM
2007
106views more  ENDM 2007»
15 years 6 months ago
Removing Even Crossings on Surfaces
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
CORR
2002
Springer
79views Education» more  CORR 2002»
15 years 6 months ago
Optimally cutting a surface into a disk
We consider the problem of cutting a subset of the edges of a polyhedral manifold surface, possibly with boundary, to obtain a single topological disk, minimizing either the total...
Jeff Erickson, Sariel Har-Peled
IJCM
2002
92views more  IJCM 2002»
15 years 6 months ago
Random-tree Diameter and the Diameter-constrained MST
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
Ayman Abdalla, Narsingh Deo
COMBINATORICS
1999
90views more  COMBINATORICS 1999»
15 years 6 months ago
On the Theory of Pfaffian Orientations. II. T-joins, k-cuts, and Duality of Enumeration
This is a continuation of our paper "A Theory of Pfaffian Orientations I: Perfect Matchings and Permanents". We present a new combinatorial way to compute the generating...
Anna Galluccio, Martin Loebl
COMGEO
1999
ACM
15 years 6 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid