Areas of Interest

• Combinatorics
• Graph decompositions
• Automated code generation
• Computational combinatorics

Web Resources

I am starting to place some research materials on the web, particularly lengthy lists of computational and other results. Click on the following links if you are interested.

• Spanning cubic graph designs. Some designs for a paper with Hayri Ardal, J\'{a}n Ma\v{n}uch, Moshe Rosenfeld and Ladislav Stacho.
• The posets of graphs of orders 4 to 8. Certain tabulations for a paper with Roger Eggleton (Illinois State University) and James MacDougall (University of Newcastle), published in Congressus Numerantium.
• Degree Sequences and Poset Structure of Order 9 Graphs. Certain tabulations for a paper with Roger Eggleton (Illinois State University) and James MacDougall (University of Newcastle), published in Congressus Numerantium.
• Taxonomy of graphs of Order 10 Certain tabulations for a paper with Roger Eggleton (Illinois State University) and James MacDougall (University of Newcastle), to appear in Congressus Numerantium.
• Edge-colored cube decompositions Computationally found edge-colored cube decompositions of some graphs. This is joint work with Darryn Bryant (The University of Queensland) and Heather Gavlas (Illinois State University).
• Computationally constructed 2-factorisations of graphs of orders 15 and 17. A collection of computationally constructed 2-factorisations of graphs of orders 15 and 17, used in joint work with Darryn Bryant.
• Amendments to some subgraph tabulations of Steinbach A collection of amendments to subgraph tabulations in Peter Steinbach's Field Guide to Simple Graphs. This is joint work with Roger Eggleton (Illinois State University), James MacDougall (University of Newcastle) and Ebadollah Mahmoodian (Sharif University of Technology).
• Join and meet digraphs of the poset of graphs of order 5 A paper on properties of the Join and Meet Digraphs of the poset of all unlabelled, simple graphs of order 5. This is joint work with Roger Eggleton (Illinois State University).
• Some factorizations of graphs into C5-Factors and 1-Factors Computationally found factorizations of some graphs into C5-factors and 1-factors. This is joint work with Darryn Bryant (The University of Queensland), Saad El-Zanati (Illinois State University) and Heather Gavlas (University of Vermont).
• Small theta graphs Some computationally found designs for a paper of Andrew Blinco.
• Sentinels For Roger and Jim's eyes only.
• Complementary degree sequences For Roger and Jim's eyes only.
• 1-reductions of graphs For Roger and Jim's eyes only.

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