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GC
2008
Springer
13 years 9 months ago
Domination in Graphs of Minimum Degree at least Two and Large Girth
We prove that for graphs of order n, minimum degree 2 and girth g 5 the domination number satisfies 1 3 + 2 3g n. As a corollary this implies that for cubic graphs of order n ...
Christian Löwenstein, Dieter Rautenbach
JAL
2006
175views more  JAL 2006»
13 years 9 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
IPPS
2005
IEEE
14 years 3 months ago
Optimal Oblivious Path Selection on the Mesh
— In the oblivious path selection problem, each packet in the network independently chooses a path, which is an important property if the routing algorithm is to be independent o...
Costas Busch, Malik Magdon-Ismail, Jing Xi
DAM
2000
126views more  DAM 2000»
13 years 9 months ago
2-Medians in trees with pos/neg weights
This paper deals with facility location problems with pos=neg weights in trees. We consider two di erent objective functions which model two di erent ways to handle obnoxious faci...
Rainer E. Burkard, Eranda Çela, Helidon Dol...
HICSS
2009
IEEE
85views Biometrics» more  HICSS 2009»
14 years 4 months ago
Bounding the Size of k-Tuple Covers
Suppose there are n applications and n processors. A pair cover is a set S of one-to-one mappings (assignments) of the applications to the processors such that, for every pair (Ai...
Wolfgang W. Bein, Shahram Latifi, Linda Morales, I...