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SODA
2004
ACM
128views Algorithms» more  SODA 2004»
15 years 8 months ago
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
We solve an open problem posed by Eppstein in 1995 [14, 15] and re-enforced by Grohe [16, 17] concerning locally bounded treewidth in minor-closed families of graphs. A graph has ...
Erik D. Demaine, Mohammad Taghi Hajiaghayi
180
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COMPGEOM
2006
ACM
16 years 22 days ago
Plane embeddings of planar graph metrics
Embedding metrics into constant-dimensional geometric spaces, such as the Euclidean plane, is relatively poorly understood. Motivated by applications in visualization, ad-hoc netw...
MohammadHossein Bateni, Mohammad Taghi Hajiaghayi,...
DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
15 years 10 months ago
On the Complexity of Graph Self-assembly in Accretive Systems
We study the complexity of the Accretive Graph Assembly Problem (AGAP). An instance of AGAP consists of an edge-weighted graph G, a seed vertex in G, and a temperature . The goal i...
Stanislav Angelov, Sanjeev Khanna, Mirkó Vi...
191
Voted
DAM
2010
137views more  DAM 2010»
15 years 6 months ago
H-join decomposable graphs and algorithms with runtime single exponential in rankwidth
We introduce H -join decompositions of graphs, indexed by a fixed bipartite graph H . These decompositions are based on a graph operation that we call H -join, which adds edges be...
Binh-Minh Bui-Xuan, Jan Arne Telle, Martin Vatshel...
ISCA
2002
IEEE
174views Hardware» more  ISCA 2002»
15 years 6 months ago
Efficient Task Partitioning Algorithms for Distributed Shared Memory Systems
In this paper, we consider the tree task graphs which arise from many important programming paradigms such as divide and conquer, branch and bound etc., and the linear task-graphs...
Sibabrata Ray, Hong Jiang