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SPAA
2006
ACM
15 years 10 months ago
On space-stretch trade-offs: lower bounds
One of the fundamental trade-offs in compact routing schemes is between the space used to store the routing table on each node and the stretch factor of the routing scheme – th...
Ittai Abraham, Cyril Gavoille, Dahlia Malkhi
IWPEC
2009
Springer
15 years 11 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
AAIM
2007
Springer
116views Algorithms» more  AAIM 2007»
15 years 10 months ago
Solving Generalized Maximum Dispersion with Linear Programming
The Generalized Maximum Dispersion problem asks for a partition of a given graph into p vertex-disjoint sets, each of them having at most k vertices. The goal is to maximize the to...
Gerold Jäger, Anand Srivastav, Katja Wolf
EJC
2008
15 years 4 months ago
Labeled posets are universal
Partially ordered sets labeled with k labels (k-posets) and their homomorphisms are examined. The homomorphicity order of k-posets is shown to be a distributive lattice. Homomorph...
Erkko Lehtonen
DM
2006
135views more  DM 2006»
15 years 4 months ago
Berge's conjecture on directed path partitions - a survey
Berge's conjecture from 1982 on path partitions in directed graphs generalizes and extends Dilworth's Theorem and the Greene-Kleitman Theorem which are well known for pa...
Irith Ben-Arroyo Hartman