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2014

Journal Article

Vertex-transitive graphs of prime-squared order are Hamilton-decomposable

Alspach, Brian, Bryant, Darryn and Kreher, Donald L. (2014). Vertex-transitive graphs of prime-squared order are Hamilton-decomposable. Journal of Combinatorial Designs, 22 (1), 12-25. doi: 10.1002/jcd.21381

Vertex-transitive graphs of prime-squared order are Hamilton-decomposable

2014

Journal Article

Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs

Bryant, Darryn, Herke, Sarada, Maenhaut, Barbara and Wannasit, Wannasiri (2014). Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs. Australasian Journal of Combinatorics, 60 (2), 227-254.

Decompositions of complete 3-uniform hypergraphs into small 3-uniform hypergraphs

2013

Journal Article

A second infinite family of Steiner triple systems without almost parallel classes

Bryant, Darryn and Horsley, Daniel (2013). A second infinite family of Steiner triple systems without almost parallel classes. Journal of Combinatorial Theory, Series A, 120 (7), 1851-1854. doi: 10.1016/j.jcta.2013.07.002

A second infinite family of Steiner triple systems without almost parallel classes

2013

Journal Article

On the Hamilton-Waterloo problem for bipartite 2-factors

Bryant, Darryn, Danziger, Peter and Dean, Matthew (2013). On the Hamilton-Waterloo problem for bipartite 2-factors. Journal of Combinatorial Designs, 21 (2), 60-80. doi: 10.1002/jcd.21312

On the Hamilton-Waterloo problem for bipartite 2-factors

2012

Journal Article

Decomposing the complete graph into dodecahedra

Adams, P., Bryant, D. E., Forbes, A. D. and Griggs, T. S. (2012). Decomposing the complete graph into dodecahedra. Journal of Statistical Planning and Inference, 142 (5), 1040-1046. doi: 10.1016/j.jspi.2011.11.001

Decomposing the complete graph into dodecahedra

2012

Journal Article

Small embeddings for partial triple systems of odd index

Bryant, Darryn and Martin, Geoffrey (2012). Small embeddings for partial triple systems of odd index. Journal of Combinatorial Theory: Series A, 119 (2), 283-309. doi: 10.1016/j.jcta.2011.09.008

Small embeddings for partial triple systems of odd index

2012

Journal Article

Paley graphs have Hamilton decompositions

Alspach, Brian, Bryant, Darryn and Dyer, Danny (2012). Paley graphs have Hamilton decompositions. Discrete Mathematics, 312 (1), 113-118. doi: 10.1016/j.disc.2011.06.003

Paley graphs have Hamilton decompositions

2012

Journal Article

Nonextendible Latin Cuboids

Bryant, Darryn, Cavenagh, Nicholas J., Maenhaut, Barbara, Pula, Kyle and Wanless, Ian M. (2012). Nonextendible Latin Cuboids. Siam Journal on Discrete Mathematics, 26 (1), 239-249. doi: 10.1137/110825534

Nonextendible Latin Cuboids

2011

Journal Article

On the non-existence of pair covering designs with at least as many points as blocks

Bryant, Darryn, Buchanan, Melinda, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2011). On the non-existence of pair covering designs with at least as many points as blocks. Combinatorica, 31 (5), 507-528. doi: 10.1007/s00493-011-2639-y

On the non-existence of pair covering designs with at least as many points as blocks

2011

Journal Article

On bipartite 2-factorizations of K(n)-I and the Oberwolfach problem

Bryant, Darryn and Danziger, Peter (2011). On bipartite 2-factorizations of K(n)-I and the Oberwolfach problem. Journal of Graph Theory, 68 (1), 22-37. doi: 10.1002/jgt.20538

On bipartite 2-factorizations of K(n)-I and the Oberwolfach problem

2011

Journal Article

On the existence and embedding of edge-coloured graph decompositions

Brier, Robert and Bryant, Darryn (2011). On the existence and embedding of edge-coloured graph decompositions. Ars Combinatoria, 99, 445-459.

On the existence and embedding of edge-coloured graph decompositions

2011

Journal Article

Cycle Decompositions of Complete Multigraphs

Bryant, D, Horsley, D, Maenhaut, B and Smith, BR (2011). Cycle Decompositions of Complete Multigraphs. Journal of Combinatorial Designs, 19 (1), 42-69. doi: 10.1002/jcd.20263

Cycle Decompositions of Complete Multigraphs

2010

Journal Article

Defining scaffold geometries for interacting with proteins: Geometrical classification of secondary structure linking regions

Tran, Tran T., Kulis, Christina, Long, Steven M., Bryant, Darryn, Adams, Peter and Smythe, Mark L. (2010). Defining scaffold geometries for interacting with proteins: Geometrical classification of secondary structure linking regions. Journal of Computer-Aided Molecular Design, 24 (11), 917-934. doi: 10.1007/s10822-010-9384-y

Defining scaffold geometries for interacting with proteins: Geometrical classification of secondary structure linking regions

2010

Journal Article

An asymptotic solution to the cycle decomposition problem for complete graphs

Bryant, Darryn and Horsley, Daniel (2010). An asymptotic solution to the cycle decomposition problem for complete graphs. Journal of Combinatorial Theory Series A, 117 (8), 1258-1284. doi: 10.1016/j.jcta.2010.03.015

An asymptotic solution to the cycle decomposition problem for complete graphs

2010

Journal Article

Decompositions of complete graphs into long cycles

Bryant, Darryn and Horsley, Daniel (2010). Decompositions of complete graphs into long cycles. Bulletin of the London Mathematical Society, 41 (5), 927-934. doi: 10.1112/blms/bdp069

Decompositions of complete graphs into long cycles

2010

Journal Article

Packing paths in complete graphs

Bryant, Darryn (2010). Packing paths in complete graphs. Journal of Combinatorial Theory, Series B, 100 (2), 206-215. doi: 10.1016/j.jctb.2009.08.004

Packing paths in complete graphs

2009

Journal Article

Complete solutions to the Oberwolfach problem for an infinite set of orders

Bryant, Darryn and Scharaschkin, Victor (2009). Complete solutions to the Oberwolfach problem for an infinite set of orders. Journal of Combinatorial Theory, Series B, 99 (6), 904-918. doi: 10.1016/j.jctb.2009.03.003

Complete solutions to the Oberwolfach problem for an infinite set of orders

2009

Journal Article

Indivisible plexes in latin squares

Bryant, D., Egan, J., Maenhaut, B. and Wanless, I. M. (2009). Indivisible plexes in latin squares. Designs, Codes and Cryptography, 52 (1), 93-105. doi: 10.1007/s10623-009-9269-z

Indivisible plexes in latin squares

2009

Journal Article

Completing partial commutative quasigroups constructed from partial Steiner triple systems is NP-complete

Bryant, D. (2009). Completing partial commutative quasigroups constructed from partial Steiner triple systems is NP-complete. Discrete Mathematics, 309 (14), 4700-4704. doi: 10.1016/j.disc.2008.05.037

Completing partial commutative quasigroups constructed from partial Steiner triple systems is NP-complete

2009

Journal Article

The nonexistence of a (K6-e)-decomposition of the complete graph K29

Hartke, S. G., Ostergard, P. R. J., Bryant, D. and El-Zanati, S. I. (2009). The nonexistence of a (K6-e)-decomposition of the complete graph K29. Journal of Combinatorial Designs, 18 (2), 94-104. doi: 10.1002/jcd.20226

The nonexistence of a (K6-e)-decomposition of the complete graph K29