- Math 581: Topics in Graph Theory: Signed, Gain, and Biased Graphs.
(The course will include an introduction to graph theory and hyperplane arrangements. It is helpful but not essential to have seen graph theory.)
- Office: LN 2231
- Office hours:
- Fall 2014
||MWF||3:30 - 5:00
||Topics in Graph Theory
||MWF||1:10 - 2:10
- Ph. D. Students:
Thesis: Classification of Factored Gain-Graphic Hyperplane Arrangements
Thesis: Gain Graphs, Group-Oriented Hypergraphs, and Matrices
Thesis: Oriented Hypergraphs
Thesis: Maximum Frustration of Bipartite Signed Graphs
Thesis: Four Studies in the Geometry of Biased Graphs
Thesis: Two Generalizations of Biased Graph Theory: Circuit Signatures and Modular Triples of Matroids, and Biased Expansions of Biased Graphs
Thesis: A Characterization of the Mixed Branching Greedoid
Thesis: Orientations of Biased Graphs and Their Matroids
Thesis: Separability and Representability of Bias Matroids of Signed Graphs
Quotations of the Month
Proclaim Liberty throughout all the Land
The Liberty Bell
unto all the Inhabitants Thereof
(from Leviticus 25:10)
They that can give up
Benjamin Franklin, 1755
to obtain a little temporary safety
deserve neither liberty nor safety.
'Tis better to have loved and flossed
Than never to have flossed at all.
- -- after S.J. Bruskin, July 2014
Past quotations of the month.
Other Places, On and Off Site
- Fraktur (German) letters, printed and handwritten forms, from Sheila MacIntyre and Edith Witte, German-English Mathematical Vocabulary, Oliver and Boyd, Edinburgh and London, 1956; second ed. 1966. Higher resolution (2 MB).
- Gian-Carlo Rota (Our Hero!)
- eXtreme Combinatorics: Design theory schedules the XFL season. (February 3, 2001.)
- A Hat Problem: It sounds like a parlor game -- but it's mathematical coding theory. (April 10, 2001.)
- Our professors have their own number.
- The End of a Reign in Graph Theory: W.T. Tutte Dies, May 2, 2002.
- Archimedes did combinatorics 2200 years ago! Read all about it!
- Sphere packing: Solved at last? or, What is a proof, really?
- A statistical analysis of The New Yorker's fiction. (Not combinatorics, but it's an unusual senior thesis!)
- Obituary of Frank Harary, who liked to be called "Mr. Graph Theory".
- A book on probability that sounds like fascinating fun, full of anecdotes and math: CHANCES ARE... Adventures in Probability, by Michael Kaplan and Ellen Kaplan (New York Times review).
- Was Pythagoras really a mathematician at all? Read the controversy in the London Review of Books: "Other Lives", by M.F. Burnyeat.
- The New York Times discovers signed graphs! Actually, it's the math column by Steven Strogatz (Cornell) called "The Enemy of My Enemy".
African Mathematics, Multicultural Math, and Math Education
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