Back to home page
Elizabeth J. Billington and W.D. Wallis, A golf schedule for 24 players Bulletin of the Institute of Combinatorics and its Applications (accepted February 2007).
Elizabeth J. Billington, Diane Donovan, James Lefevre, Thomas McCourt and C.C. Lindner, The triangle intersection problem for nested Steiner triple systems, Ars Combinatoria (accepted November 2007).
Elizabeth J. Billington and Nicholas J. Cavenagh, Sparse graphs which decompose into closed trails of arbitrary lengths, Graphs and Combinatorics (accepted October 2007).
Elizabeth J. Billington, Nicholas J. Cavenagh and Benjamin R. Smith, Path and cycle decompositions of complete equipartite graphs: 3 and 5 parts, Discrete Mathematics (accepted April 2008).
Elizabeth J. Billington and C.C. Lindner, Embedding 5-cycle systems in 5-triple configurations, Discrete Mathematics (accepted May 2008).
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 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 K4 - e designs, Utilitas Mathematica 73 (2007), 3-21.
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 K4: the remaining cases, Bulletin of the Institute of Combinatorics and its Applications 47 (2006), 77-90.
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 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.
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 K2n minus a 1-factor, Discrete Mathematics 200 (2000), 1-11.
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 Km+2-Km designs, Journal of Combinatorial Designs 5 (1997), 49-60.
Elizabeth J. Billington, M. Gionfriddo and C.C. Lindner, The intersection problem for K4-e designs, Journal of Statistical Planning and Inference 58 (1997), 5-27.
Elizabeth J. Billington, Hung-Lin Fu and Chin-Mei Fu, 2-colouring {C3,C4}-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 3k-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.