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ACTA
2006
74views more  ACTA 2006»
13 years 7 months ago
Linearly bounded infinite graphs
Linearly bounded Turing machines have been mainly studied as acceptors for context-sensitive languages. We define a natural family of canonical infinite automata representing their...
Arnaud Carayol, Antoine Meyer
WDAG
2005
Springer
130views Algorithms» more  WDAG 2005»
14 years 1 months ago
Fast Deterministic Distributed Maximal Independent Set Computation on Growth-Bounded Graphs
Abstract. The distributed complexity of computing a maximal independent set in a graph is of both practical and theoretical importance. While there exists an elegant O(log n) time ...
Fabian Kuhn, Thomas Moscibroda, Tim Nieberg, Roger...
ICALP
2001
Springer
14 years 8 days 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 7 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 6 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