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2016

2016

Bárány, Katchalski and Pach (Proc Am Math Soc 86(1):109–114, 1982) (see also Bárány et al., Am Math Mon 91(6):362–365, 1984… Expand

2012

2012

In 2005, Goodman and Pollack introduced the concept of an allowable interval sequence, a combinatorial object which encodes… Expand

2008

2008

A fresh look is taken at the fractional Helly theorem for line transversals to families of convex sets in the plane. This theorem… Expand

2008

2008

We give a simple proof for a theorem of Katchalski, Last, and Valtr, asserting that the maximum number of edges in a geometric… Expand

2007

2007

A family of disjoint closed congruent discs is said to have property T(3) if to every triple of discs there exists a common line… Expand

2003

2003

Abstract. Let F be a family of disjoint unit balls in R3 . We prove that there is a Helly-number n0≤ 46 , such that if every n0… Expand

Highly Cited

1991

Highly Cited

1991

Geometric partitioning and its applications by P. K. Agarwal On the convex hull of the integer points in a disc by A. Balog and I… Expand

1990

1990

We prove that a finite family ℬ={B1,B2, ...,Bn} of connected compact sets in ℝd has a hyperplane transversal if and only if for… Expand

1986

1986

We show that every graph G on n vertices with minimal degree at least n/k contains a cycle of length at least [n/(k − 1)]. This… Expand

1955

1955

POLYELECTROLYTES of high molecular weight have been shown to inhibit a variety of enzymes in what Spensley and Rogers1 have… Expand