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» Enumeration Reducibility with Polynomial Time Bounds
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MST
2010
86views more  MST 2010»
13 years 9 days ago
Fixed-Parameter Enumerability of Cluster Editing and Related Problems
Cluster Editing is transforming a graph by at most k edge insertions or deletions into a disjoint union of cliques. This problem is fixed-parameter tractable (FPT). Here we comput...
Peter Damaschke
APAL
2007
131views more  APAL 2007»
13 years 5 months ago
Bounded fixed-parameter tractability and reducibility
We study a refined framwork of parameterized complexity theory where the parameter dependendence of fixed-parameter tractable algorithms is not arbitrary, but restricted by a fu...
Rod Downey, Jörg Flum, Martin Grohe, Mark Wey...
CORR
2008
Springer
72views Education» more  CORR 2008»
13 years 5 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar
FOCS
2006
IEEE
13 years 11 months ago
Inclusion--Exclusion Algorithms for Counting Set Partitions
Given an n-element set U and a family of subsets S ⊆ 2U we show how to count the number of k-partitions S1 ∪ · · · ∪ Sk = U into subsets Si ∈ S in time 2nnO(1). The only...
Andreas Björklund, Thore Husfeldt
TON
2008
119views more  TON 2008»
13 years 5 months ago
Polynomial time approximation algorithms for multi-constrained QoS routing
We study the multi-constrained Quality-of-Service (QoS) routing problem where one seeks to find a path from a source to a destination in the presence of K 2 additive end-to-end Qo...
Guoliang Xue, Weiyi Zhang, Jian Tang, Krishnaiyan ...