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COMBINATORICS
2000
81views more  COMBINATORICS 2000»
13 years 8 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler
MOR
2007
138views more  MOR 2007»
13 years 8 months ago
The Demand-Matching Problem
The objective of the demand matching problem is to obtain the subset M of edges which is feasible and where the sum of the profits of each of the edges is maximized. The set M is...
F. Bruce Shepherd, Adrian Vetta
DM
1998
94views more  DM 1998»
13 years 8 months ago
On embedding complete graphs into hypercubes
An embedding of Kn into a hypercube is a mapping of the n vertices of Kn to distinct vertices of the hypercube, and the associated cost is the sum over all pairs of (mapped) verti...
Michael Klugerman, Alexander Russell, Ravi Sundara...
ISAAC
2009
Springer
113views Algorithms» more  ISAAC 2009»
14 years 1 months ago
On Shortest Disjoint Paths in Planar Graphs
For a graph G and a collection of vertex pairs {(s1, t1), . . . , (sk, tk)}, the k disjoint paths problem is to find k vertex-disjoint paths P1, . . . , Pk, where Pi is a path fr...
Yusuke Kobayashi, Christian Sommer 0002
IWPEC
2009
Springer
14 years 3 months ago
Partitioning into Sets of Bounded Cardinality
Abstract. We show that the partitions of an n-element set into k members of a given set family can be counted in time O((2− )n ), where > 0 depends only on the maximum size am...
Mikko Koivisto