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» On Planar Quasi-Parity Graphs
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SODA
2004
ACM
128views Algorithms» more  SODA 2004»
13 years 9 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
ADHOCNOW
2007
Springer
14 years 2 months ago
Topology Control and Geographic Routing in Realistic Wireless Networks
We present a distributed topology control protocol that runs on a d-QUDG for d ≥ 1/ √ 2, and computes a sparse, constant-spanner, both in Euclidean distance and in hop distance...
Kevin M. Lillis, Sriram V. Pemmaraju, Imran A. Pir...
COMPGEOM
2010
ACM
14 years 27 days ago
On degrees in random triangulations of point sets
We study the expected number of interior vertices of degree i in a triangulation of a point set S, drawn uniformly at random from the set of all triangulations of S, and derive va...
Micha Sharir, Adam Sheffer, Emo Welzl
SODA
2007
ACM
76views Algorithms» more  SODA 2007»
13 years 9 months ago
An unbiased pointing operator for unlabeled structures, with applications to counting and sampling
We introduce a general method to count and randomly sample unlabeled combinatorial structures. The approach is based on pointing unlabeled structures in an “unbiased” way, i.e...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
DNA
2006
Springer
126views Bioinformatics» more  DNA 2006»
13 years 11 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...