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» Covering a Set of Points with a Minimum Number of Lines
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DM
2002
116views more  DM 2002»
13 years 7 months ago
Star forests, dominating sets and Ramsey-type problems
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
EJC
2010
13 years 8 months ago
Partial covers of PG(n, q)
In this paper, we investigate some properties of partial covers of PG(n, q). We show that a set of q + a hyperplanes, q 81, a < (q - 1)/3, or q > 13 and a (q - 10)/4, that...
Stefan M. Dodunekov, Leo Storme, Geertrui Van de V...
JAL
2006
175views more  JAL 2006»
13 years 7 months ago
Approximations for minimum and min-max vehicle routing problems
: We consider a variety of vehicle routing problems. The input to a problem consists of a graph G = (N, E) and edge lengths l(e) e E. Customers located at the vertices have to be ...
Esther M. Arkin, Refael Hassin, Asaf Levin
SODA
1993
ACM
119views Algorithms» more  SODA 1993»
13 years 9 months ago
Iterated Nearest Neighbors and Finding Minimal Polytopes
We introduce a new method for nding several types of optimal k-point sets, minimizing perimeter, diameter, circumradius, and related measures, by testing sets of the O(k) nearest ...
David Eppstein, Jeff Erickson
TALG
2008
152views more  TALG 2008»
13 years 7 months ago
Algorithms for capacitated rectangle stabbing and lot sizing with joint set-up costs
In the rectangle stabbing problem we are given a set of axis parallel rectangles and a set of horizontal and vertical lines, and our goal is to find a minimum size subset of lines...
Guy Even, Retsef Levi, Dror Rawitz, Baruch Schiebe...