My office is 4106 Harris Hall and Zoom! In Fall 2024 I am teaching Introductory Combinatorics (MATH 350) and Graph Theory (MATH 556).

Resources for Introductory Combinatorics (MATH 350):

• Syllabus
• Classroom Worksheets: c01, c02, c03, c04, c05, c06, c07, c08, c09, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26,
• Homework (with due dates):
  (h01) h01 (8/29),
  (h02) h02 (9/4),
  (h03) h03 (9/11),
  (h04) h04 (9/18),
  (h05) h05 (9/25),
  (h06) h06 (10/3),
  (h07) h07 (10/10),
  (h08) h08 (10/17),
  (h09) h09 (10/31),
  (h10) h10 (11/7),
  (h11) h11 (11/19),
  (h12) h12 (12/3),
  

Resources for Graph Theory (MATH 556):

• Syllabus
• Classroom Worksheets: c01, c02, c03, c04, c05, c06, c07, c08, c09, c10, c11, c12, c13, c14, c15, c16, c17, c18, c19, c20, c21, c22, c23, c24, c25, c26,
• Homework (with due dates):
  (h01) h01 (8/29),
  (h02) h02 (9/4),
  (h03) h03 (9/11),
  (h04) h04 (9/18),
  (h05) h05 (9/25),
  (h06) h06 (10/3),
  (h07) h07 (10/15),
  (h08) h08 (10/24),
  (h09) h09 (10/31),
  (h10) h10 (11/7),
  (h11) h11 (11/19),
  (h12) h12 (12/3),
  

Resources for Sage & Cocalc:

• Sage Quick Reference,
• Graph Theory Quick Reference,
• Linear Algebra Quick Reference,
• Abstract Algebra Quick Reference,
• Calculus Quick Reference,
• Dynamics Quick Reference,
• Differential Equations Quick Start,
• Programming in Python,
• Computational Mathematics with SageMath book.
• Here is a blank hex paper, useful for drawing benzenoid graphs.
• The Cocalc (Sage Math Cloud) server, the program I use for Mathematical Computing (MATH 255).
• A Sage for Undergraduates Book by Gregory Bard (Here is an uncompressed pdf of the book).
• The Sage project website, with FAQs, downloads, and lots of information.
• Sage help videos by William Stein.
• Sage Quick Reference Cards.
• Rob Beezer's Linear Algebra in Sage
• William Stein's Sage for Power Users (pdf).
• SDSU Programming in Sage tutorial
• Code Academy Python tutorial. Codeacademy.com is a great place to dive in to learning programming languages. Sage is written in Python. So its a great idea to work through the Python tutorial.
• A good Khan Academy video Python tutorial.

Resources for Graph Theory

• House of Graphs, is a place to go to find information about a specific graph or class of graphs, and to add graphs that might be of interest to others.
• Grinvin is a free computer program that can be used to calculate invariants, generate graphs, and otherwise explore.
• Here's the House of Graphs app for putting in a graph and generating its graph6_string.
• An amazing resource for Graph Classes.

Good free Graph Theory books online:

• Diestel's Graph Theory (modern).
• Bondy and Murty's Graph Theory with Applications (classic).
• Wilf's Algorithms and Complexity (undergrad).

Graph Theory & Combinatorics in Sage/Cocalc:

• Nathan Cohens' Graph Theory in Sage
• Sage Combinatorics Tutorial
• William Stein Graph Theory in Sage video (Dr Stein is using the Sage notebook and not Sage Cloud - but most things are the same)

Other Stuff for Current Students:

• NEWS: VCU math student is 2024 Virginia Teacher of the Year!
• NEWS: VCU's Math Circle has returned to action!
• Bertrand Russell's Ten Commandments of teaching.

VCU Math Open-Source Texts Project:

• Richard Hammack, Book of Proof. pdf. order.
• Jim Hefferon, Linear Algebra, pdf. order.
• Thomas Judson, Abstract Algebra. pdf. order.
• John Cain & Angela Reynolds, Ordinary Differential Equations. pdf. order.
• Judith Roitman, Modern Set Theory. pdf. order.

Useful LaTeX links

• A VCU Math thesis template and required files.
• LaTeX in Sage Math Cloud VIDEOS. Very good videos for getting started with writing LaTeX documents in Sage.
• TeXshop. A very good (free) TeX editor and compiler for Mac.
• TeXnicCenter. A very good (free) TeX editor for Windows. (You still need MikTeX as the compiling "engine").
• MikTeX. The TeX compiler for Windows users (free).
• The Not So Short Introduction to LaTeX. A guide to LaTeX basics.
• Tikz Manual. A guide for making pictures directly in your TeX code.
• DeTeXify. Draw a math symbol and get the LaTeX code. You can also find Iphone and Android apps.
• LyX A freeware WYSIWYG LaTeX editor.

Thesis Students:

• Rayan Ibrahim, Ph.D. (co-advised with Allison Moore), Problems in Graph Theory With Applications to Topology and Modeling RNA, Summer 2024.
• Robert Jacobs, Ph.D., Paley Graphs, Prime Graphs and Crossword Puzzles, Summer 2024.
• Christopher Flippen, M.S., Minimal Sets, Union-Closed Families, and Frankl's Conjecture, Dec. 2023.
• Joshua Forkin, M.S., AUTOMATED CONJECTURING ON THE INDEPENDENCE NUMBER AND MINIMUM DEGREE OF DIAMETER-2-CRITICAL GRAPHS, May 2022.
• David Muncy, M.S., Automated Conjecturing Approach for Domination in Benzenoids, December 2016.
• Alex Bradford, M.S., Automated Conjecturing Approach to the Discrete Riemann Hypothesis August 2016.
• Michelle Grigsby, M.S., Independence and Horizontal Edges, December 2011.
• Andrew Bristow, M.S., Independent set Decision Problem is NP-Complete, August 2011.
• William Willis, M.S., Bounds for the Independence Number of a Graph, August 2011.
• Taylor Short, M.S., KE Theory and the Number of Vertices Belonging to all Maximum Independent Sets of a Graph, February 2011.
• Nisreen Bukhary, M.S., Domination in Benzenoids, May 2010.