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COMBINATORICA
2007
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13 years 11 months ago
Total domination of graphs and small transversals of hypergraphs
The main result of this paper is that every 4-uniform hypergraph on n vertices and m edges has a transversal with no more than (5n + 4m)/21 vertices. In the particular case n = m,...
Stéphan Thomassé, Anders Yeo
DM
2006
70views more  DM 2006»
13 years 11 months ago
Transversals in long rectangular arrays
In this paper it is shown that every m
Saeed Akbari, O. Etesami, H. Mahini, M. Mahmoody, ...
DCG
2008
74views more  DCG 2008»
13 years 11 months ago
Helly-Type Theorems for Line Transversals to Disjoint Unit Balls
We prove Helly-type theorems for line transversals to disjoint unit balls in Rd . In particular, we show that a family of n 2d disjoint unit balls in Rd has a line transversal if,...
Otfried Cheong, Xavier Goaoc, Andreas Holmsen, Syl...