5/17/2019
Basic Concepts Of Algebraic Combinatorics - Edukite
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Basic Concepts Of Algebraic Combinatorics ( 7 REVIEWS )
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The focus of the course is to give an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is …
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3 HOURS, 45 MINUTES
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The focus of the course is to give an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected but assumes a familiarity with linear algebra and nite groups. Topics were chosen to show the power of techniques in algebraic combinatorics. Rigorous mathematical proofs, rational generating functions and Recurrence relations and Adjacency and Laplacian matrices of graphs are expected in this course.
Assessment This course does not involve any written exams. Students need to answer 5 assignment questions to complete the course, the answers will be in the form of written work in pdf or word. Students can write the answers in their own time. Each answer needs to be 200 words (1 Page). Once the answers are submitted, the tutor will check and assess the work.
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Basic Concepts Of Algebraic Combinatorics - Edukite
Course Credit: MIT
COURSE CURRICULUM
Introduction to course, walks on graphs, rational generating functions and Fibonacci numbers
00:10:00
Partially ordered sets II Dilworth’s and Sperner’s theorem
00:10:00
Partially ordered sets III the Mobius function
00:10:00
Introduction to partitions and two proofs of Euler’s theorem
00:15:00
Partitions II Euler Pentagonal theorem and other identities
00:10:00
Proof of Schensted’s theorem
00:10:00
An introduction to symmetric functions
00:15:00
Symmetric functions II
00:15:00
Polya theory III, intro to exponential generating functions
00:10:00
Exponential generating functions and tree enumeration
00:10:00
Tree enumeration II
00:10:00
Eulerian tours II
00:10:00
Chip ring games I
00:20:00
Chip ring games II the critical group
00:20:00
Chip ring games III proof of uniqueness
00:20:00
https://edukite.org/course/basic-concepts-algebraic-combinatorics/
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Basic Concepts Of Algebraic Combinatorics - Edukite
Perfect matchings and Domino tilings
00:10:00
Lattice path enumeration II
00:20:00
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