Combinatorics (Math 420), Spring 2019

Texts, Syllabus, and Grades

• Texts: See reading list within the syllabus
• Combinatorial Sage
• Syllabus [Updated: 2019-02-25] [Original]
• Syllabus (printable PDF) [Updated: 2019-02-25] [Original]
• Topics and Exercises (Updated: 2019-02-04)
• Grades: Math 420, Fall 2019

Sage

• Sage Cell Server
• CoCalc
• Sage Home
• Sage for Undergraduates, by Gregory Bard [More]
• Reference Manual
• UPS Sage, TeX, Beamer Seminar (Fall 2009)

Related Links

• 36 Officers: AMS Wikipedia
• Graeco-Latin Squares (Beezer)
• The On-Line Encyclopedia of Integer Sequences
• Poker Hands at Wikipedia, probabilities, with derivations.
• MIT Students beat Massachusetts Lottery
• Benjamin and Quinn, An Alternate Approach to Alternating Sums: a Method To Die For
• Galton Board Simulation YouTube - New York Hall of Science (See Guichard Exercise 1.3.18)
• The Search for Simple Symmetric Venn Diagrams, by Frank Ruskey, Carla D. Savage, and Stan Wagon, Notices of the American Mathematical Society, December 2006
• New Roses: Simple Symmetric Venn Diagrams with 11 and 13 Curves, by K. Mamakani and F. Ruskey, Discrete and Computational Geometry, 52 (2014) 71-87.
• Catalan Numbers from the biography of Eugene Charles Catalan at the MacTutor History of Mathematics archive.
• The Middle Levels Problem.
• Aftermath, Peter Cameron, (is graph theory really the slums of topology?)
• Graph theory in Goodwill Hunting
• Algebraic Graph Theory (talk, Santa Clara University, 2009)
• Small Ramsey Numbers, a dynamic survey at the Electronic Journal of Combinatorics.
• SET articles [Fairbanks] [Gordon/Gordon/McMahon] [Melnick]