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Topics in Algebraic Combinatorics
OCW Master Course Number
18.318
Spring 2006
OCW_LOMv1.0
Author
Stanley, Richard
2020-12-24
OCW Course Topics
Mathematics
Algebra and Number Theory
OCW Course Topics
Mathematics
Linear Algebra
OCW Course Topics
Mathematics
Discrete Mathematics
contents/index.htm.xml
Topics in Algebraic Combinatorics
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Topics in Algebraic Combinatorics
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18-318s06.jpg
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18-318s06-th.jpg
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Syllabus
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Lecture Notes
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notes2.pdf
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sperner.pdf
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boolean.pdf
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hadamard.pdf
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young.pdf
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Assignments
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hw3.pdf
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hw1.pdf
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hw2.pdf
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hw5.pdf
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hw4.pdf
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Projects
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Legal Notices
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Privacy Statement
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Trademark Notices
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contents/lecture-notes/index.htm.xml
contents/lecture-notes/hadamard.pdf.xml
contents/index.htm.xml
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contents/18-318s06.jpg.xml
contents/lecture-notes/notes2.pdf.xml
contents/lecture-notes/young.pdf.xml
contents/assignments/hw4.pdf.xml
contents/syllabus/index.htm.xml
contents/assignments/hw3.pdf.xml
contents/lecture-notes/sperner.pdf.xml
contents/lecture-notes/boolean.pdf.xml
contents/assignments/index.htm.xml
contents/assignments/hw1.pdf.xml
contents/assignments/hw5.pdf.xml
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This site (c) Massachusetts Institute of Technology 2020. Content within individual courses is (c) by the individual authors unless otherwise noted. The Massachusetts Institute of Technology is providing this Work (as defined below) under the terms of this Creative Commons public license ("CCPL" or "license") unless otherwise noted. The Work is protected by copyright and/or other applicable law. Any use of the work other than as authorized under this license is prohibited. By exercising any of the rights to the Work provided here, You (as defined below) accept and agree to be bound by the terms of this license. The Licensor, the Massachusetts Institute of Technology, grants You the rights contained here in consideration of Your acceptance of such terms and conditions.
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OCW Master Course Number
18.318 Topics in Algebraic Combinatorics Spring 2006
The course consists of a sampling of topics from algebraic combinatorics. The topics include the matrix-tree theorem and other applications of linear algebra, applications of commutative and exterior algebra to counting faces of simplicial complexes, and applications of algebra to tilings.
CIP
270102
Algebra and Number Theory
algebraic combinatorics
matrix-tree theorem
linear algebra
commutative algebra
exterior algebra
counting faces of simplicial complexes
tilings
Young's lattice
Shannon capacity
Fisher inequality
Hadamard matrices
f-vectors
Sperner Property
-Binomial Coeffcients
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