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.
- Linked
structures. A paper with
Roger Eggleton (Illinois State University) and James MacDougall
(University of Newcastle), with a link to another paper by Roger Eggleton.
- Graphs which are
linked cycles. Certain tabulations for a paper with Roger Eggleton
(Illinois State University) and James MacDougall (University of
Newcastle).
- 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 (2004).
- 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 (2004).
- Taxonomy of graphs of
Order 10 Certain tabulations for a paper with Roger Eggleton (Illinois
State University) and James MacDougall (University of Newcastle),
published in Congressus Numerantium (2006).
- 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), published in Bull Inst Combin Appl (2003).
- 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), published in Congressus Numerantium (2002).
- 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.
If,
for some unimaginable and incomprehensible reason, you are interested in a semi-recent
list of my publications, then click here.