Combinatorics (Math 420), Fall 2016

Texts, Syllabus, and Grades

• Texts: See reading list within the syllabus
• Syllabus [Update]
• Syllabus (printable) [Update]
• Combinatorial Sage [HTML] [PDF]
• Grades: Math 420, Fall 2016

Sage

• SageMathCloud
• UPS Sage Server (on-campus, or vDesk, or VPN)
• Sage Home
• Sage Cell Server
• 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 (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.
• Combinatorial Potlatch 2016
• SET articles [Fairbanks] [Gordon/Gordon/McMahon] [Melnick]