skip to main content
Visitante
Meu Espaço
Minha Conta
Sair
Identificação
This feature requires javascript
Tags
Revistas Eletrônicas (eJournals)
Livros Eletrônicos (eBooks)
Bases de Dados
Bibliotecas USP
Ajuda
Ajuda
Idioma:
Inglês
Espanhol
Português
This feature required javascript
This feature requires javascript
Primo Search
Busca Geral
Busca Geral
Acervo Físico
Acervo Físico
Produção Intelectual da USP
Produção USP
Search For:
Clear Search Box
Search in:
Busca Geral
Or select another collection:
Search in:
Busca Geral
Busca Avançada
Busca por Índices
This feature requires javascript
This feature requires javascript
Fast Algorithms for Join Operations on Tree Decompositions
van Rooij, J.M.M Fomin, F.V ; Sub Algorithms and Complexity ; Algorithms and Complexity ; Kratsch, S ; van Leeuwen, Erik Jan
2020
Texto completo disponível
Citações
Citado por
Exibir Online
Detalhes
Resenhas & Tags
Mais Opções
Nº de Citações
This feature requires javascript
Enviar para
Adicionar ao Meu Espaço
Remover do Meu Espaço
E-mail (máximo 30 registros por vez)
Imprimir
Link permanente
Referência
EasyBib
EndNote
RefWorks
del.icio.us
Exportar RIS
Exportar BibTeX
This feature requires javascript
Título:
Fast Algorithms for Join Operations on Tree Decompositions
Autor:
van Rooij, J.M.M
Fomin, F.V
;
Sub Algorithms and Complexity
;
Algorithms and Complexity
;
Kratsch, S
;
van Leeuwen, Erik Jan
Assuntos:
Dynamic Programming
;
Fast Fourier Tran
;
Fast Subset Convolution
;
Möbius transform
;
Sigma-Rho Domination
;
Taverne
;
Tree decompositions
Notas:
https://dspace.library.uu.nl/handle/1874/414753
0302-9743
12160, 262-297 (2020)
Descrição:
Treewidth is a measure of how tree-like a graph is. It has many important algorithmic applications because many NP-hard problems on general graphs become tractable when restricted to graphs of bounded treewidth. Algorithms for problems on graphs of bounded treewidth mostly are dynamic programming algorithms using the structure of a tree decomposition of the graph. The bottleneck in the worst-case run time of these algorithms often is the computations for the so called join nodes in the associated nice tree decomposition. In this paper, we review two different approaches that have appeared in the literature about computations for the join nodes: one using fast zeta and Möbius transforms and one using fast Fourier transforms. We combine these approaches to obtain new, faster algorithms for a broad class of vertex subset problems known as the [σ,ρ] -domination problems. Our main result is that we show how to solve [σ,ρ]-domination problems in O(st+2tn2(tlog(s)+log(n))) arithmetic operations. Here, t is the treewidth, s is the (fixed) number of states required to represent partial solutions of the specific [σ,ρ]-domination problem, and n is the number of vertices in the graph. This reduces the polynomial factors involved compared to the previously best time bound (van Rooij, Bodlaender, Rossmanith, ESA 2009) of O(st+2(st)2(s−2)n3) arithmetic operations. In particular, this removes the dependence of the degree of the polynomial on the fixed number of states s.
Data de criação/publicação:
2020
Idioma:
Inglês
Links
View record in Utrecht University$$FView record in $$GUtrecht University
This feature requires javascript
This feature requires javascript
Voltar para lista de resultados
Resultado
1
This feature requires javascript
This feature requires javascript
Buscando em bases de dados remotas. Favor aguardar.
Buscando por
em
scope:(USP_PRODUCAO),scope:(USP_EBOOKS),scope:("PRIMO"),scope:(USP),scope:(USP_EREVISTAS),scope:(USP_FISICO),primo_central_multiple_fe
Mostrar o que foi encontrado até o momento
This feature requires javascript
This feature requires javascript