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COMBINATORICS
2004
100views more  COMBINATORICS 2004»
13 years 5 months ago
Lattice Structures from Planar Graphs
The set of all orientations of a planar graph with prescribed outdegrees carries the structure of a distributive lattice. This general theorem is proven in the first part of the p...
Stefan Felsner
4OR
2010
137views more  4OR 2010»
13 years 5 months ago
Extended formulations in combinatorial optimization
This survey is concerned with the size of perfect formulations for combinatorial optimization problems. By "perfect formulation", we mean a system of linear inequalities...
Michele Conforti, Gérard Cornuéjols,...
DM
2006
80views more  DM 2006»
13 years 5 months ago
A class of combinatorial identities
A general theorem for providing a class of combinatorial identities where the sum is over all the partitions of a positive integer is proven. Five examples as the applications of ...
Yingpu Deng
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 5 months ago
Approximate max-integral-flow/min-multicut theorems
We establish several approximate max-integral-flow / minmulticut theorems. While in general this ratio can be very large, we prove strong approximation ratios in the case where th...
Kenji Obata
DCG
2002
81views more  DCG 2002»
13 years 5 months ago
Separoids, Their Categories and a Hadwiger-Type Theorem for Transversals
In this paper we study the topology of transversals to a family of convex sets as a subset of a Grassmanian manifold. This topology seems to be ruled by a combinatorial structure w...
Jorge L. Arocha, Javier Bracho, Luis Montejano, D....