Publications

Elizabeth J. Billington, Abdollah Khodkar and C.C. Lindner,
Complete sets of metamorphoses: paired stars into 4-cycles,
* Journal of Combinatorial Mathematics and Combinatorial Computing *
** 80** (2012), 457-466.

Elizabeth J. Billington, Nicholas J. Cavenagh and Abdollah Khodkar,
Complete sets of metamorphoses: twofold 4-cycle systems into
twofold 6-cycle systems,
* Discrete Mathematics*
** 312** (issue 16) (2012), 2407-2530.

Elizabeth J. Billington, C.C. Lindner, Mariusz Meszka and A. Rosa,
Extra 2-perfect twofold 6-cycle systems,
*
Quaderni di Matematica della Seconda Universita di Napoli
*
(dedicated to Lucia Gionfriddo; accepted March 2011).

Elizabeth J. Billington and Nicholas J. Cavenagh,
Decomposing complete tripartite graphs into 5-cycles when the partite sets
have similar size,
* Aequationes Mathematicae *
** 82 ** (2011), 277-289.

Elizabeth J. Billington and D.G. Hoffman,
Lambda-fold equipartite 2-perfect 6-cycle systems,
* Discrete Mathematics *
** 311 ** (2011), 2423-2427.

Elizabeth J. Billington, C.C. Lindner and Mariusz Meszka,
Twofold 2-perfect bowtie systems with an extra property,
*
Aequationes Mathematicae
*
** 82 ** (2011), 143-153.

Elizabeth J. Billington and Abdollah Khodkar,
Twofold 2-perfect 8-cycle systems with an extra property,
*
Journal of Combinatorial Mathematics and Combinatorial Computing
*
** 77 ** (2011), 243-252.

Elizabeth J. Billington, Nicholas J. Cavenagh and Abdollah Khodkar,
Note: Super-simple twofold 4-cycle systems,
*
Bulletin of the Institute of Combinatorics and its Applications
*
** 63 ** (2011), 48-50.

Elizabeth J. Billington,
5-cycle decompositions from paired 3- and 4-cycle decompositions,
*
Australasian Journal of Combinatorics
*
** 51 ** (2011), 109-113.

Elizabeth J. Billington, Diane Donovan, James Lefevre, Thomas McCourt
and C.C. Lindner,
The triangle intersection problem for nested Steiner triple systems,
*
Australasian Journal of Combinatorics
*
** 51 ** (2011), 221-233.

Elizabeth J. Billington, Italo J. Dejter, D.G. Hoffman and C.C. Lindner,
Almost resolvable maximum packings of complete graphs with 4-cycles,
*
Graphs and Combinatorics
*
** 27** (2011), 161-170.

Elizabeth J. Billington, D.G. Hoffman, C.C. Lindner and Mariusz Meszka,
Almost resolvable minimum coverings of complete graphs with 4-cycles,
*
Australasian Journal of Combinatorics
*
** 50 ** (2011), 73-85.

Peter Adams, Elizabeth J. Billington, D.G. Hoffman and C.C. Lindner,
The generalized almost resolvable cycle system problem,
*
Combinatorica*
** 30 (6) ** (2010), 617-625.

Elizabeth J. Billington, Nicholas J. Cavenagh and Benjamin R. Smith,
Path and cycle decompositions of complete equipartite graphs:
3 and 5 parts,
*
Discrete Mathematics
*
** 310** (2010), 241-254.

Elizabeth J. Billington, Selda Kucukcifci, Emine Sule Yazici and Curt Lindner,
Embedding 4-cycle systems into octagon triple systems,
*
Utilitas Mathematica
*
**79** (2009), 99-106.

Elizabeth J. Billington, Nicholas J. Cavenagh and Benjamin R. Smith,
Path and cycle decompositions of complete equipartite graphs:
four parts
*
Discrete Mathematics
*
**309** (2009), 3061-3073.

Elizabeth J. Billington and C.C. Lindner,
Embedding 5-cycle systems in 5-triple configurations,
*
Discrete Mathematics
*
**309** (2009), 4828-4834.

Elizabeth J. Billington and Nicholas J. Cavenagh,
Sparse graphs which decompose into closed trails of arbitrary lengths,
*
Graphs and Combinatorics
*
**52** (2008), 109-110.

Elizabeth J. Billington and D.G. Hoffman,
Equipartite and almost equipartite gregarious 4-cycle systems,
*
Discrete Mathematics
*
** 308** (2008), 696-714.

doi: 10.1016/j.disc.2007.07.056

Elizabeth J. Billington and W.D. Wallis,
A golf schedule for 24 players
*
Bulletin of the Institute of Combinatorics and its Applications
*
**52** (2008), 109-110.

Elizabeth J. Billington and C.A. Rodger,
Resolvable 4-cycle group divisible designs with two associate
classes: part size even,
*
Discrete Mathematics
*
** 308 ** (2008), 303-307.

doi:10.1016/j.disc.2006.11.043

Elizabeth J. Billington, D.G. Hoffman and C.A. Rodger,
Resolvable gregarious cycle decompositions of complete equipartite graphs,
*
Discrete Mathematics
*
**308**, issue 13 (2008), 2844-2853.

doi:10.1016/j.disc.2006.06.047

Elizabeth J. Billington, Diane Donovan and Nicole Smith,
Packing a complete graph of order 5 (mod 6) with triangles: a new method,
*
Bulletin of the Institute of Combinatorics and its Applications
*
** 53** (2008), 77-81.

Elizabeth J. Billington, D.G. Hoffman and Benjamin J. Smith,
Equipartite gregarious 6- and 8-cycle systems,
*
Discrete Mathematics
*
**307** (2007), 1659-1667.

Elizabeth J. Billington and Nicholas J. Cavenagh,
Decompositions of complete tripartite graphs into
closed trails of arbitrary lengths,
*
Czechoslovak Mathematical Journal
*
**57 (132) ** (2007), 523-551.

Elizabeth J. Billington, Emine Sule Yazici and C.C. Lindner,
The triangle intersection problem for *K _{4} - e* designs,

Elizabeth J. Billington and D.G. Hoffman,
Short path decompositions of arbitrary complete multipartite graphs,
*
Congressus Numerantium
*
** 187** (2007), 161-173.

Elizabeth J. Billington and C.C. Lindner,
Perfect triple configurations from subgraphs of *K _{4}*:
the remaining cases,

Elizabeth J. Billington, C.C. Lindner and A. Rosa,
Lambda-fold complete graph decompositions into perfect
four-triangle configurations,
*Australasian Journal of Combinatorics*
**32** (2005), 323-330.

Elizabeth J. Billington, Hung-Lin Fu and C.A. Rodger,
Packing lambda-fold complete multipartite graphs with 4-cycles,
*Graphs and Combinatorics*
**21** (2005), 169-185.

Elizabeth J. Billington,
Multipartite graph decompositions: cycles and closed trails,
*Le Matematiche (Catania)*
** LIX (2004) - Fasc. I-II**, 53-72.

Elizabeth J. Billington,
The extended metamorphosis of a complete bipartite design into a cycle system,
*
Discrete Mathematics
*
**284** (2004), 63-70. (Special issue in honour of C.C. Lindner.)

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.

*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 K_{3,3} 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 K_{n},
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.

*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.

*2000:*

Nicholas J. Cavenagh and Elizabeth J. Billington,
Decompositions of complete multipartite graphs into cycles of even length,
* Graphs and Combinatorics*
**16** (2000), 49-65.

Peter Adams, Elizabeth J. Billington, I.J. Dejter and C.C. Lindner,
The number of 4-cycles in 2-factorizations of
*K _{2n}* minus a 1-factor,

Nicholas J. Cavenagh and Elizabeth J. Billington,
On decomposing complete tripartite graphs into 5-cycles,
*Australasian Journal of Combinatorics*
**22** (2000), 41-62.

Elizabeth J. Billington,
The metamorphosis of lambda-fold 4-wheel systems into
lambda-fold bowtie systems,
*Australasian Journal of Combinatorics*
**22** (2000), 265-286.

*1999:*

Elizabeth J. Billington,
Decomposing complete tripartite graphs into cycles of length 3 and 4,
*Discrete Mathematics*
**197/198** (1999), 123-135.

Elizabeth J. Billington, D.G. Hoffman and Barbara M. Maenhaut,
Group divisible pentagon systems,
*Utilitas Mathematica*
**55** (1999), 211-219.

Elizabeth J. Billington and Darryn E. Bryant,
The possible number of cycles in cycle systems,
*Ars Combinatoria*
**52** (1999), 65-70.

*1998:*

Elizabeth J. Billington and C.C. Lindner,
Maximum packings of bowtie designs,
*Journal of Combinatorial Mathematics and Combinatorial Computing
*
**27** (1998), 227-249.

Elizabeth J. Billington and D.G. Hoffman,
The intersection problem for star designs,
*Discrete Mathematics *
**179** (1998), 217-222.

Elizabeth J. Billington and David Pike,
Decomposing block intersection graphs of Steiner
triple systems into triangles,
*Australasian Journal of Combinatorics *
**18** (1998), 51-64.

Elizabeth J. Billington and Giovanni Lo Faro,
Repeated blocks in indecomposable twofold extended triple systems,
*Australasian Journal of Combinatorics *
**18** (1998), 209-218.

Elizabeth J. Billington and C.C. Lindner,
Embedding partial even-cycle systems into
resolvable maximum packings,
*Journal of Combinatorial Mathematics and Combinatorial Computing *
**28** (1998), 41-54.

*1997:*

Peter Adams, Elizabeth J. Billington and D.G. Hoffman,
On the spectrum for *K _{m+2}-K_{m}*
designs,

Elizabeth J. Billington, M. Gionfriddo and C.C. Lindner,
The intersection problem for *K _{4}-e* designs,

Elizabeth J. Billington, Hung-Lin Fu and Chin-Mei Fu,
2-colouring {*C*_{3},*C*_{4}}-designs,
* Bulletin of the Institute of Combinatorics and its Applications *
**20** (1997), 62-64.

Elizabeth J. Billington,
The Petersen graph and black magic?
* Bulletin of the Institute of Combinatorics and its Applications*
**19** (1997), 125-126.

*1996:*

Peter Adams and Elizabeth J. Billington,
Lambda-fold 3-perfect 9-cycle systems,
*
Ars Combinatoria
*
** 44** (1996), 241-262.

Peter Adams, Elizabeth J. Billington and Darryn E. Bryant,
Partitionable perfect cycle systems with cycle lengths 6 and 8,
* Discrete Mathematics*
**149** (1996), 1-9.

Elizabeth J. Billington and C.C. Lindner,
Maximum packings of uniform group divisible triple systems,
*
Journal of Combinatorial Designs*
** 4** (1996), 397-404.

Peter Adams, Elizabeth J. Billington and Darryn E. Bryant,
The spectrum for lambda-fold Steiner pentagon systems,
* Journal of Statistical Planning and Inference *
** 56** (1996), 3-15.

*1995:*

Elizabeth J. Billington and Donald L. kreher,
The intersection problem for small *G*-designs,
* Australasian Journal of Combinatorics*
**12** (1995), 239-258.

Elizabeth J. Billington and C.C. Lindner,
The spectrum for 3-perfect lambda-fold 6-cycle systems,
* Utilitas Mathematica*
** 48** (1995), 243-253.

*1994:*

Elizabeth J. Billington and C.A. Rodger,
Partitioning linear spaces into complete quadrilaterals and *n*-gons,
* Journal of Geometry*
**51** (1994), 13-21.

Peter Adams, Elizabeth J. Billington and C.A. Rodger,
Pasch decompositions of lambda-fold triple systems,
*
Journal of Combinatorial Mathematics and Combinatorial Computing
*
** 15** (1994), 53-63.

Elizabeth J. Billington and C.C. Lindner,
The spectrum for 2-perfect bowtie systems,
*Discrete Mathematics*
** 135** (1994), 61-68.

Peter Adams, Elizabeth J. Billington and C.C. Lindner,
*k*-perfect 3*k*-cycle systems,
*
Journal of Combinatorial Mathematics and Combinatorial Computing
*
**15** (1994), 141-154.

*1993:*

Peter Adams and Elizabeth J. Billington,
The spectrum for 2-perfect 8-cycle systems,
* Ars Combinatoria*
** 36** (1993), 47-56.

Elizabeth J. Billington and E.S. Mahmoodian,
Multi-set designs and numbers of common triples,
*
Graphs and Combinatorics *
**9** (1993), 105-115.

Elizabeth J. Billington, A. Khodkar and E.S. Mahmoodian,
Balanced ternary designs with block size four,
* Journal of Statistical Planning and Inference*
**37** (1993), 95-126.

Peter Adams and Elizabeth J. Billington,
Completing some spectra for 2-perfect cycle systems,
*
Australasian Journal of Combinatorics
*
** 7** (1993), 175-187.

Elizabeth J. Billington and Donald L. Kreher,
Yet another characterization of the Petersen graph,
*
Bulletin of the Institute of Combinatorics and its Applications
*
** 7** (1993), 73-77.

Elizabeth J. Billington,
The intersection problem for combinatorial designs,
* Congressus Numerantium*
** 92** (1993), 33-54.

Elizabeth J. Billington and E.S. Mahmoodian,
Numbers of common blocks in Mendelsohn and directed triple systems with
repeated elements,
* Bulletin of the Iranian Mathematical Society*
** 19** (1993), 29-43.

Elizabeth J. Billington,
The intersection problem for *m*-cycle systems,
*Journal of Combinatorial Designs*
**1** (1993), 435-452.

*1992:*

Elizabeth J. Billington and C.C. Lindner,
The spectrum for lambda-fold 2-perfect 6-cycle systems,
*
European Journal of Combinatorics
*
**13** (1992), 5-14.

Elizabeth J. Billington and D.G. Hoffman,
Pairs of simple balanced ternary designs with prescribed numbers
of triples in common,
*
Australasian Journal of Combinatorics
*
**5** (1992), 59-71.

Peter Adams, Elizabeth J. Billington and C.C. Lindner,
The spectrum for 3-perfect 9-cycle systems,
*
Australasian Journal of Combinatorics
*
** 5** (1992), 103-108.
Corrigendum: *ibid.* **8** (1993), 277.

Elizabeth J. Billington and E.S. Mahmoodian,
On *t*-multi-set designs,
*
Journal of Combinatorial Mathematics and Combinatorial Computing
*
** 11** (1992), 61-64.

*1991:*

Elizabeth J. Billington and D.G. Hoffman,
The number of repeated blocks in balanced ternary designs with block
size three II,
* Discrete Mathematics*
** 92** (1991), 25-37.

Rebecca A.H. Gower, Sheila Oates-Williams, Diane Donovan and
Elizabeth J. Billington,
The quasigroup variety arising from a 2-perfect
6-cycle system of order 13,
*
Journal of Combinatorial Mathematics and Combinatorial Computing
*
** 10** (1991), 119-128.

*
For papers in years 1976 to 1990 please see MathSciNet or else email me.
*