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Books > Science & Mathematics > Mathematics > Combinatorics & graph theory
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Forbidden Configurations in Discrete Geometry (Paperback)
Loot Price: R862
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Forbidden Configurations in Discrete Geometry (Paperback)
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This book surveys the mathematical and computational properties of
finite sets of points in the plane, covering recent breakthroughs
on important problems in discrete geometry, and listing many open
problems. It unifies these mathematical and computational views
using forbidden configurations, which are patterns that cannot
appear in sets with a given property, and explores the implications
of this unified view. Written with minimal prerequisites and
featuring plenty of figures, this engaging book will be of interest
to undergraduate students and researchers in mathematics and
computer science. Most topics are introduced with a related puzzle
or brain-teaser. The topics range from abstract issues of
collinearity, convexity, and general position to more applied areas
including robust statistical estimation and network visualization,
with connections to related areas of mathematics including number
theory, graph theory, and the theory of permutation patterns.
Pseudocode is included for many algorithms that compute properties
of point sets.
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