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» On the Number of Arrangements of Pseudolines
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ENDM
2008
81views more  ENDM 2008»
13 years 5 months ago
The maximum number of halving lines and the rectilinear crossing number of Kn for n
For n 27 we present exact values for the maximum number h(n) of halving lines and h(n) of halving pseudolines, determined by n points in the plane. For this range of values of n ...
Bernardo M. Ábrego, Silvia Fernández...
COCOON
2010
Springer
13 years 10 months ago
Auspicious Tatami Mat Arrangements
The main purpose of this paper is to introduce the idea of tatami tilings, and to present some of the many interesting and fun questions that arise when studying them. Roughly spea...
Alejandro Erickson, Frank Ruskey, Mark Schurch, Je...
FOCS
1999
IEEE
13 years 9 months ago
Taking a Walk in a Planar Arrangement
We present a randomized algorithm for computing portions of an arrangement of n arcs in the plane, each pair of which intersect in at most t points. We use this algorithm to perfo...
Sariel Har-Peled
PRICAI
2004
Springer
13 years 10 months ago
Coherent Arrangement of Sentences Extracted from Multiple Newspaper Articles
Multi-document summarization is a challenge to information overload problem to provide a condensed text for a number of documents. Most multi-document summarization systems make u...
Naoaki Okazaki, Yutaka Matsuo, Mitsuru Ishizuka
FOCS
2003
IEEE
13 years 10 months ago
On Levels in Arrangements of Curves, II: A Simple Inequality and Its Consequences
We give a surprisingly short proof that in any planar arrangement of Ò curves where each pair intersects at most a fixed number (×) of times, the -level has subquadratic (Ç´...
Timothy M. Chan