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ALGORITHMICA
2010
88views more  ALGORITHMICA 2010»
15 years 6 months ago
Improved Bounds for Wireless Localization
We consider a novel class of art gallery problems inspired by wireless localization. Given a simple polygon P, place and orient guards each of which broadcasts a unique key within ...
Tobias Christ, Michael Hoffmann, Yoshio Okamoto, T...
DM
2010
129views more  DM 2010»
15 years 6 months ago
Interpolating between bounds on the independence number
For a non-negative integer T, we prove that the independence number of a graph G = (V, E) in which every vertex belongs to at most T triangles is at least uV f(d(u), T) where d(u)...
Anett Boßecker, Dieter Rautenbach
JCSS
2008
80views more  JCSS 2008»
15 years 6 months ago
Improved bounds on sorting by length-weighted reversals
We study the problem of sorting binary sequences and permutations by length-weighted reversals. We consider a wide class of cost functions, namely f( ) = for all 0, where is the...
Michael A. Bender, Dongdong Ge, Simai He, Haodong ...
HEURISTICS
2002
155views more  HEURISTICS 2002»
15 years 6 months ago
Bounds and Heuristics for the Shortest Capacitated Paths Problem
Given a graph G, the Shortest Capacitated Paths Problem (SCPP) consists of determining a set of paths of least total length, linking given pairs of vertices in G, and satisfying c...
Marie-Christine Costa, Alain Hertz, Michel Mittaz
EJC
2011
15 years 1 months ago
Bounds on generalized Frobenius numbers
Let N ≥ 2 and let 1 < a1 < · · · < aN be relatively prime integers. The Frobenius number of this N-tuple is defined to be the largest positive integer that has no re...
Lenny Fukshansky, Achill Schürmann