Research Problems in Discrete Geometry

Research Problems in Discrete Geometry

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This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.Thus, u2, 2(n) a‰c 4u2 (n)=4u(n) a‰c O(n 4 3 ). Any improvement of the upper bound for the number of unit distances in the plane will carry over to a bound for the number of congruent triangles. If Erd I‹osa#39;s conjecture is true and the order ofanbsp;...

Title:Research Problems in Discrete Geometry
Author: Peter Brass, William O. J. Moser, János Pach
Publisher:Springer Science & Business Media - 2006-01-27

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