PapersResearch
 Independence Ratios and Matching Ratios,
being written up.
 ErdösGyárfás Conjecture for Cubic Planar Graphs
(with Roi Krakovski), Electronic Journal of Combinatorics, Volume 20, Issue 2 (2013), P7.
 On Sara's Dove Bar Habit (with David Einstein and Timothy
Norfolk), American Mathematical Monthly, Vol. 116,
No. 9, November 2009, pp. 831835.
 On the Tightness of the 5/14
Independence Ratio, Discrete
Mathematics, Vol. 308/15, pp. 31693179.
PDF (use Acrobat to read)
 Independent Sets In TriangleFree Cubic
Planar Graphs (with Robin
Thomas), Journal of Combinatorial Theory, Series B.
96 (2006), 253275.
PDF (use Acrobat to read)
 A New Proof of the Independence Ratio of
TriangleFree Cubic Graphs
(with Robin Thomas),
Discrete Mathematics,
Vol 233/13, pp. 233237.
gzipped PostScript
My Erdös number is 3.
Not Research
 Matrix Operations on TI Graphing Calculators
(Unpublished instructions for solving a system of linear equations, and inverting a
matrix, for the TI83 and TI85 graphing calculators)
PDF
 Using Graphing Calculators To Evaluate Riemann Sums
(Unpublished instructions for setting up Riemann sums and how to get a
graphing calculator to evaluate them)
PDF
 Matrix Operations on a Casio Graphing Calculator
(Unpublished instructions for solving a system of linear equations, and inverting a
matrix, for the Casio series of graphing calculators)
PDF
 Linear Programming: Beyond 4.2 (The Simplex Method)
(Unpublished introduction to Linear Programming, in response to the textbook
which is used for MAT 119 at ASU)
PDF
[Updated August 1, 2006]
 Rook Polynomials (Proposed extension of the
Rook Polynomials
page at MathWorld)
PDF
 Matrix Applications: Markov Chains and Game Theory
(Unpublished introduction to these topics, presented in an ASU Workshop for
Tutors)
PDF
Software
 The program GEMBED, which tests for embeddability of graphs on
the projective plane, the torus, and the spindle surface. Available
as a gzipped tar file. (Version 5.3A, some compiling errors fixed
by Keith Briggs. Version 6.0J will incorporate the JGraphT package in Java.)
 Coding the Even Directed Cycle algorithm for the
Computing
Even Cycles page (last update: September 1999). [Be sure to enable Java]
 The program
discharge.pas, which can be found among the rest of the
Four
Color Theorem files (last update: January 1997).
The Four
Color
Theorem
also has its own Webpage.
Conferences I've Attended
 2008 Jan 08: 2008 Joint Mathematics Meeting in San Diego, CA. Presented
``On the Tightness of the 5/14 Independence Ratio''
 2005 Oct 30: Arizona Mathematics Undergraduate
Conference (3rd Annual AMUC), in Flagstaff, AZ. Presented ``ProblemSolving Seminar At ASU''
(not a research presentation)
 2004 Jan 09: 2004
Joint Mathematics Meeting in Phoenix, AZ. Presented
``Independent
Sets in TriangleFree Cubic Planar Graphs''
 2002 Jan 07: 2002
Joint Mathematics Meeting in San Diego, CA. Presented
``Independence Ratios and Matching Ratios''
 2001 Mar 02: ThirtySecond International Conference
on Combinatorics, Graph Theory, and Computing, in Baton Rouge. Presented
``On the Tightness of the 5/14 Independence Ratio''
 2000 Apr 15: AMS 2000 Southeastern
Section Meeting in Lafayette, LA. Presented ``Independent Sets In TriangleFree Cubic Planar Graphs''
 2000 Jan 1922: 2000
Joint Mathematics Meetings in Washington, D.C.
 1999 Mar 10: Thirtieth
Southeastern International Conference on Combinatorics, Graph
Theory, and Computing, in Boca Raton, FL. Presented ``A
New Proof of the Independence Ratio of TriangleFree Cubic Graphs''
 1998 Aug 04:
DIMACS Research
& Education Institute DREI 1998 Graph Theory & Combinatorial Optimization
workshop at Rutgers. Presented ``Independent Sets In TriangleFree Cubic
Planar Graphs'' (the old proof) (invited)
 1998 Mar 12: The
TwentyNinth Southeastern International Conference on Combinatorics, Graph
Theory, and Computing, in Boca Raton, FL. Presented
``Independent Sets In TriangleFree Cubic Planar Graphs'' (the old proof)
 1991 Jan:
Joint National AMS/MAA Meeting, in San Francisco, CA. Presented
``Computer Generation of NonConvex Generalized Numerical Ranges''
