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ICALP
2001
Springer
14 years 2 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
JCT
2008
100views more  JCT 2008»
13 years 9 months ago
Optimal distortion embeddings of distance regular graphs into Euclidean spaces
ABSTRACT. In this paper we give a lower bound for the least distortion embedding of a distance regular graph into Euclidean space. We use the lower bound for finding the least dist...
Frank Vallentin
IPL
2010
111views more  IPL 2010»
13 years 8 months ago
Connecting face hitting sets in planar graphs
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...
Pascal Schweitzer, Patrick Schweitzer
CORR
2004
Springer
111views Education» more  CORR 2004»
13 years 9 months ago
Layout of Graphs with Bounded Tree-Width
A queue layout of a graph consists of a total order of the vertices, and a partition of the edges into queues, such that no two edges in the same queue are nested. The minimum numb...
Vida Dujmovic, Pat Morin, David R. Wood
ICALP
1995
Springer
14 years 1 months ago
Parallel Algorithms with Optimal Speedup for Bounded Treewidth
We describe the rst parallel algorithm with optimal speedup for constructing minimum-width tree decompositions of graphs of bounded treewidth. On n-vertex input graphs, the algori...
Hans L. Bodlaender, Torben Hagerup