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» New Lower Bounds for Heilbronn Numbers
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FOSSACS
2008
Springer
13 years 9 months ago
Optimal Lower Bounds on Regular Expression Size Using Communication Complexity
The problem of converting deterministic finite automata into (short) regular expressions is considered. It is known that the required expression size is 2(n) in the worst case for ...
Hermann Gruber, Jan Johannsen
STOC
1995
ACM
115views Algorithms» more  STOC 1995»
13 years 11 months ago
Geometric lower bounds for parametric matroid optimization
We relate the sequence of minimum bases of a matroid with linearly varying weights to three problems from combinatorial geometry: k-sets, lower envelopes of line segments, and con...
David Eppstein
COCO
1997
Springer
144views Algorithms» more  COCO 1997»
13 years 11 months ago
Polynomial Vicinity Circuits and Nonlinear Lower Bounds
We study families of Boolean circuits with the property that the number of gates at distance t fanning into or out of any given gate in a circuit is bounded above by a polynomial ...
Kenneth W. Regan
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 5 months ago
Bounds on the maximum multiplicity of some common geometric graphs
We obtain new lower and upper bounds for the maximum multiplicity of some weighted and, respectively, non-weighted common geometric graphs drawn on n points in the plane in genera...
Adrian Dumitrescu, André Schulz, Adam Sheff...
COCOON
2005
Springer
14 years 1 months ago
New Streaming Algorithms for Counting Triangles in Graphs
Abstract. We present three streaming algorithms that ( , δ)− approximate 1 the number of triangles in graphs. Similar to the previous algorithms [3], the space usage of presente...
Hossein Jowhari, Mohammad Ghodsi