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EJC
2002
14 years 9 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»
14 years 10 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»
14 years 10 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
14 years 11 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»
14 years 10 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