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EJC
2002
13 years 7 months ago
Cycle Cover Ratio of Regular Matroids
A cycle in a matroid is a disjoint union of circuits. This paper proves that every regular matroid M without coloops has a set S of cycles whose union is E(M) such that every elem...
Hong-Jian Lai, Hoifung Poon
CORR
2008
Springer
151views Education» more  CORR 2008»
13 years 7 months ago
Geometric Set Cover and Hitting Sets for Polytopes in $R^3$
Suppose we are given a finite set of points P in R3 and a collection of polytopes T that are all translates of the same polytope T. We consider two problems in this paper. The firs...
Sören Laue
JGT
2008
88views more  JGT 2008»
13 years 7 months ago
On minimum sets of 1-factors covering a complete multipartite graph
We determine necessary and sufficient conditions for a complete multipartite graph to admit a set of 1-factors whose union is the whole graph and, when these conditions are satisf...
David Cariolaro, Hung-Lin Fu
CCCG
2003
13 years 9 months ago
Decomposing Polygons Into Diameter Bounded Components
A decomposition of a polygon P is a set of polygons whose geometric union is exactly P. We consider the problem of decomposing a polygon, which may contain holes, using subpolygon...
Chris Worman
CORR
2010
Springer
143views Education» more  CORR 2010»
13 years 7 months ago
Parikh Images of Regular Languages: Complexity and Applications
We show that the Parikh image of the language of an NFA with n states over an alphabet of size k can be described as a finite union of linear sets with at most k generators and to...
Anthony Widjaja To