Incidence Theorems and Their Applications
Zeev Dvir
Broschiertes Buch

Incidence Theorems and Their Applications

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Incidence theorems describe the way lines, points and other geometric objects intersect each other. Theorems of this sort have found a large number of exciting applications in the past few decades, both in mathematics and in theoretical computer science. Incidence Theorems and Their Applications presents some of the seminal results in this area as well as recent developments and applications. The presented results fall under three main themes. (i) Counting incidences: How many incidences can a set of lines have with a set of points? This basic question, and its generalizations, plays a role in...