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2024

Journal Article

Almost resolvable duplicated Steiner triple systems

Bryant, Darryn, Davies, Sara and Neubecker, Jack (2024). Almost resolvable duplicated Steiner triple systems. Australasian Journal of Combinatorics, 88 (2), 256-265.

Almost resolvable duplicated Steiner triple systems

2021

Journal Article

On the Steiner Quadruple System with Ten Points

Brier, Robert and Bryant, Darryn (2021). On the Steiner Quadruple System with Ten Points. Bulletin of the Institute of Combinatorics and its Applications, 91, 115-127.

On the Steiner Quadruple System with Ten Points

2020

Journal Article

On determining when small embeddings of partial Steiner triple systems exist

Bryant, Darryn, De Vas Gunasekara, Ajani and Horsley, Daniel (2020). On determining when small embeddings of partial Steiner triple systems exist. Journal of Combinatorial Designs, 28 (8) jcd.21715, 568-579. doi: 10.1002/jcd.21715

On determining when small embeddings of partial Steiner triple systems exist

2019

Journal Article

Hamilton path decompositions of complete multipartite graphs

Bryant, Darryn, Hang, Hao Chuien and Herke, Sarada (2019). Hamilton path decompositions of complete multipartite graphs. Journal of Combinatorial Theory. Series B, 135, 1-15. doi: 10.1016/j.jctb.2018.07.006

Hamilton path decompositions of complete multipartite graphs

2018

Journal Article

Uniform decompositions of complete multigraphs into cycles

Berry, Duncan, Bryant, Darryn, Dean, Matthew and Maenhaut, Barbara (2018). Uniform decompositions of complete multigraphs into cycles. Journal of Combinatorial Designs, 26 (12), 595-615. doi: 10.1002/jcd.21630

Uniform decompositions of complete multigraphs into cycles

2018

Journal Article

On Hamilton decompositions of infinite circulant graphs

Bryant, Darryn, Herke, Sarada, Maenhaut, Barbara and Webb, Bridget S. (2018). On Hamilton decompositions of infinite circulant graphs. Journal of Graph Theory, 88 (3), 434-448. doi: 10.1002/jgt.22223

On Hamilton decompositions of infinite circulant graphs

2018

Journal Article

Decompositions of complete multigraphs into cycles of varying lengths

Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara and Smith, Benjamin R. (2018). Decompositions of complete multigraphs into cycles of varying lengths. Journal of Combinatorial Theory Series B, 129, 79-106. doi: 10.1016/j.jctb.2017.09.005

Decompositions of complete multigraphs into cycles of varying lengths

2018

Journal Article

On Hamilton decompositions of line graphs of non-hamiltonian graphs and graphs without separating transitions

Bryant, Darryn, Maenhaut, Barbara and Smith, Benjamin R. (2018). On Hamilton decompositions of line graphs of non-hamiltonian graphs and graphs without separating transitions. Australasian Journal of Combinatorics, 71 (3), 537-543.

On Hamilton decompositions of line graphs of non-hamiltonian graphs and graphs without separating transitions

2017

Journal Article

Steiner triple systems with high chromatic index

Bryant, Darryn, Colbourn, Charles J., Horsley, Daniel and Wanless, Ian M. (2017). Steiner triple systems with high chromatic index. SIAM Journal on Discrete Mathematics, 31 (4), 2603-2611. doi: 10.1137/17M1114338

Steiner triple systems with high chromatic index

2017

Journal Article

Compressed sensing with combinatorial designs: theory and simulations

Bryant, Darryn, Colbourn, Charles J., Horsley, Daniel and Cathain, Padraig O. (2017). Compressed sensing with combinatorial designs: theory and simulations. IEEE Transactions On Information Theory, 63 (8) 7954982, 4850-4859. doi: 10.1109/TIT.2017.2717584

Compressed sensing with combinatorial designs: theory and simulations

2016

Journal Article

On almost-regular edge colourings of hypergraphs

Bryant, Darryn (2016). On almost-regular edge colourings of hypergraphs. Electronic Journal of Combinatorics, 23 (4) #P4.7. doi: 10.37236/5826

On almost-regular edge colourings of hypergraphs

2016

Journal Article

Decompositions of complete graphs into bipartite 2-regular subgraphs

Bryant, Darryn, Burgess, Andrea and Danziger, Peter (2016). Decompositions of complete graphs into bipartite 2-regular subgraphs. Electronic Journal of Combinatorics, 23 (2) P2.1. doi: 10.37236/4634

Decompositions of complete graphs into bipartite 2-regular subgraphs

2016

Journal Article

On factorisations of complete graphs into circulant graphs and the Oberwolfach problem

Alspach, Brian, Bryant, Darryn, Horsley, Daniel, Maenhaut, Barbara and Scharaschkin, Victor (2016). On factorisations of complete graphs into circulant graphs and the Oberwolfach problem. Ars Mathematica Contemporanea, 11 (1), 157-173. doi: 10.26493/1855-3974.770.150

On factorisations of complete graphs into circulant graphs and the Oberwolfach problem

2015

Journal Article

Vertex-transitive graphs that have no Hamilton decomposition

Bryant, Darryn and Dean, Matthew (2015). Vertex-transitive graphs that have no Hamilton decomposition. Journal of Combinatorial Theory. Series B, 114, 237-246. doi: 10.1016/j.jctb.2015.05.007

Vertex-transitive graphs that have no Hamilton decomposition

2015

Journal Article

An asymptotic existence result on compressed sensing matrices

Bryant, Darryn and Catháin, Padraig Ó. (2015). An asymptotic existence result on compressed sensing matrices. Linear Algebra and Its Applications, 475, 134-150. doi: 10.1016/j.laa.2015.02.010

An asymptotic existence result on compressed sensing matrices

2015

Journal Article

Bipartite 2-factorizations of complete multipartite graphs

Bryant, Darryn, Danziger, Peter and Pettersson, William (2015). Bipartite 2-factorizations of complete multipartite graphs. Journal of Graph Theory, 78 (4), 287-294. doi: 10.1002/jgt.21806

Bipartite 2-factorizations of complete multipartite graphs

2015

Journal Article

Steiner Triple Systems Without Parallel Classes

Bryant, Darryn and Horsley, Daniel (2015). Steiner Triple Systems Without Parallel Classes. Siam Journal On Discrete Mathematics, 29 (1), 693-696. doi: 10.1137/140996999

Steiner Triple Systems Without Parallel Classes

2014

Journal Article

Decomposing graphs of high minimum degree into 4-cycles

Bryant, Darryn and Cavenagh, Nicholas J. (2014). Decomposing graphs of high minimum degree into 4-cycles. Journal of Graph Theory, 79 (3), 167-177. doi: 10.1002/jgt.21816

Decomposing graphs of high minimum degree into 4-cycles

2014

Journal Article

Brushing without capacity restrictions

Bryant, Darryn, Francetic, Nevena, Gordinowicz, Przemysław, Pike, David A. and Pralat, Paweł (2014). Brushing without capacity restrictions. Discrete Applied Mathematics, 170, 33-45. doi: 10.1016/j.dam.2014.01.024

Brushing without capacity restrictions

2014

Journal Article

Cycle decompositions V: complete graphs into cycles of arbitrary lengths

Bryant, Darryn, Horsley, Daniel and Pettersson, William (2014). Cycle decompositions V: complete graphs into cycles of arbitrary lengths. Proceedings of the London Mathematical Society, 108 (5), 1153-1192. doi: 10.1112/plms/pdt051

Cycle decompositions V: complete graphs into cycles of arbitrary lengths