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Published by: Massachusetts Institute of Technology  Language: English
Published by: Massachusetts Institute of Technology  Language: English
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This course offers an introduction to discrete and computational geometry. Emphasis is placed on teaching methods in combinatorial geometry. Many results presented are recent, and include open (as yet unsolved) problems.
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Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: 18319fall2005.zip
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pset1.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pset4.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pset3.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pset5.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pset2.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pset6.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
Published under: /Assignments
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OCW Authors:
Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: ackerman.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: pach.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: salman.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: jingbin.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: daniel.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: crossdecay_l.pdf
This OER is part of OCW: 18.319 Geometric Combinatorics (MIT)
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
File: amanda2.pdf
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Inherited Tag(s):
 mathematics
 discrete geometry
 computational geometry
 convex partitions
 binary space partitions
 art gallery problems
 planar graphs
 pseudotriangulations
 encompassing graphs
 geometric graphs
 crossing numbers
 extremal graph theory
 gallaisylvester problems
More OCW like this 

Published by: Massachusetts Institute of Technology  Language: English
Published by: Massachusetts Institute of Technology  Language: English
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This course covers a collection of geometric techniques that apply broadly in modern algorithm design.
Author(s):
Tag(s):
 mathematics
 spectral graph theory
 iterative methods for linear algebra
 convex geometry
 lattices and basis reduction
 lps and sdps for approximating nphard problems
 graph laplacians
 cheeger inequalities
 fritz john?s theorem
226 results found.
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