Elizabeth J Billington
Recent Papers
(For earlier papers, most are found on
MathSciNet.)
1998-2000 publications
here.
2001:
Elizabeth J. Billington and D.G. Hoffman,
Trades and graphs,
Graphs and Combinatorics
17 (2001), 39-54.
Elizabeth J. Billington, Hung-Lin Fu and C.A. Rodger,
Packing complete multipartite graphs with 4-cycles,
Journal of Combinatorial Designs
9 (2001), 107-127.
Peter Adams, Elizabeth J. Billington, Darryn E. Bryan and A. Khodkar,
The µ-way intersection problem for m-cycle systems,
Discrete Mathematics
231 (2001), 27-56.
Elizabeth J. Billington and C.C. Lindner,
The metamorphosis of lambda-fold 4-wheel systems into lambda-fold 4-cycle
systems,
Utilitas Mathematica
59 (2001), 215-235.
2002:
Peter Adams, Elizabeth J. Billington, Darryn E. Bryant and
E.S. Mahmoodian,
The three-way intersection problem for latin squares,
Discrete Mathematics
243 (2002), 1-19.
Peter Adams, Elizabeth J. Billington, Darryn E. Bryant and Saad I. El-Zanati,
On the Hamilton-Waterloo problem,
Graphs and Combinatorics
18, (2002), 31-51.
Elizabeth J. Billington and Gaetano Quattrocchi,
The metamorphosis of lambda-fold K3,3 designs into
lambda-fold 6-cycle systems,
Ars Combinatoria
64 (2002), 65-80.
Peter Adams, Elizabeth J. Billington and C.C. Lindner,
The number of 6-cycles in 2-factorizations of Kn,
n odd,
J. Combinatorial Mathematics and Combinatorial Computing
41, (2002), 223-243.
Elizabeth J. Billington and Gaetano Quattrocchi,
(2,C)-ordered path designs P(v,3,1),
J. Combinatorial Mathematics and Combinatorial Computing
41 (2002), 9-17.
Elizabeth J. Billington and D.G. Hoffman,
Trade spectra of complete partite graphs,
Discrete Mathematics
250 (2002), 23-39.
Peter Adams, Elizabeth J. Billington, Darryn E. Bryant and E.S. Mahmoodian,
On the possible volumes of
µ-way latin trades,
Aequationes Mathematicae
63 (2002), 303-320.
2003:
Peter Adams, Elizabeth J. Billington and E.S. Mahmoodian,
The simultaneous metamorphosis of small wheel systems,
J. Combinatorial Mathematics and Combinatorial Computing
44 (2003), 209-223.
Elizabeth J. Billington and D.G. Hoffman,
Decompositions of complete tripartite graphs into gregarious 4-cycles,
Discrete Mathematics
261 (2003), 87-111.
Elizabeth J. Billington,
Combinatorial trades: a survey of recent results,
Chapter 3 in
Designs 2002: Further Computational and Constructive Design
Theory
(ed. W.D. Wallis), Kluwer Academic Publishers, Boston/Dordrecht/London, (2003),
pp. 47-67. Book Series: Mathematics and its Applications, Vol. 563.
Elizabeth J. Billington and Karen A. Dancer,
The metamorphosis of designs with block size four: a survey and the final case,
Congressus Numerantium
164 (2003), 129-151.
2004 and to appear:
Elizabeth J. Billington,
The extended metamorphosis of a complete bipartite design into a cycle system,
Discrete Mathematics
284 (2004), 63-70.
Elizabeth J. Billington, C.C. Lindner and A. Rosa,
Lambda-fold complete graph decompositions into perfect four-triangle configurations,
Australasian Journal of Combinatorics
(to appear).
Elizabeth J. Billington, Hung-Lin Fu and C.A. Rodger,
Packing lambda-fold complete multipartite graphs with 4-cycles,
Graphs and Combinatorics
(to appear).
Elizabeth J. Billington,
Multipartite graph decompositions: cycles and closed trails,
Le Matematiche (Catania)
(to appear).
Elizabeth J. Billington, D.G. Hoffman and C.A. Rodger,
Gregarious resolvable cycle decompositions of
complete equipartite graphs,
Discrete Mathematics
(to appear).
Elizabeth J. Billington, and C.C. Lindner,
Perfect triple configurations from subgraphs of
K4: the remaining cases,
Bulletin of the Institute of Combinatorics and its Applications
(to appear).
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Department of Mathematics