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2023

Journal Article

Perfect 1-factorisations of complete k-uniform hypergraphs

Davies, Sara, Maenhaut, Barbara and Mitchell, Jeremy (2023). Perfect 1-factorisations of complete k-uniform hypergraphs. Australasian Journal of Combinatorics, 85 (1), 35-48.

Perfect 1-factorisations of complete k-uniform hypergraphs

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

Featured

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

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

Face 2-colorable embeddings with faces of specified lengths

Maenhaut, Barbara and Smith, Benjamin R (2015). Face 2-colorable embeddings with faces of specified lengths. Journal of Graph Theory, 82 (3), 296-311. doi: 10.1002/jgt.21902

Face 2-colorable embeddings with faces of specified lengths

2014

Journal Article

Perfect 1-factorizations of a family of Cayley graphs

Herke, Sarada and Maenhaut, Barbara (2014). Perfect 1-factorizations of a family of Cayley graphs. Journal of Combinatorial Designs, 23 (9), 369-399. doi: 10.1002/jcd.21399

Perfect 1-factorizations of a family of Cayley graphs

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

Perfect 1-factorisations of circulants with small degree

Herke, Sarada and Maenhaut, Barbara (2013). Perfect 1-factorisations of circulants with small degree. Electronic Journal of Combinatorics, 20 (1). doi: 10.37236/2264

Perfect 1-factorisations of circulants with small degree

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

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

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

2008

Journal Article

Almost regular edge colorings and regular decompositions of complete graphs

Bryant, D. and Maenhaut, B. (2008). Almost regular edge colorings and regular decompositions of complete graphs. Journal of Combinatorial Designs, 16 (6), 499-506. doi: 10.1002/jcd.20190

Almost regular edge colorings and regular decompositions of complete graphs

2007

Journal Article

Subsquare-free Latin squares of odd order

Maenhaut, B., Wanless, I. M. and Webb, B. S. (2007). Subsquare-free Latin squares of odd order. European Journal of Combinatorics, 28 (1), 322-336. doi: 10.1016/j.ejc.2005.07.002

Subsquare-free Latin squares of odd order

2006

Journal Article

New families of atomic Latin squares and perfect 1-factorisations

Bryant, Darryn, Maenhaut, Barbara and Wanless, Ian M. (2006). New families of atomic Latin squares and perfect 1-factorisations. Journal of Combinatorial Theory Series A, 113 (4), 608-624. doi: 10.1016/j.jcta.2005.05.003

New families of atomic Latin squares and perfect 1-factorisations

2006

Journal Article

Decomposition of complete graphs into 5-cubes

Bryant, D, El-Zanati, SI, Maenhaut, B and Vanden Eynden, C (2006). Decomposition of complete graphs into 5-cubes. Journal of Combinatorial Designs, 14 (2), 159-166. doi: 10.1002/jcd.20066

Decomposition of complete graphs into 5-cubes

2005

Journal Article

Decompositions into 2-regular subgraphs and equitable partial cycle decompositions

Bryant, D., Horsley, D. and Maenhaut, B. (2005). Decompositions into 2-regular subgraphs and equitable partial cycle decompositions. Journal of Combinatorial Theory, Series B, 93 (1), 67-72. doi: 10.1016/j.jctb.2004.06.002

Decompositions into 2-regular subgraphs and equitable partial cycle decompositions

2004

Journal Article

Existence and embeddings of partial Steiner triple systems of order ten with cubic leaves

Bryant, D., Maenhaut, B., Quinn, K. and Webb, B. S. (2004). Existence and embeddings of partial Steiner triple systems of order ten with cubic leaves. Discrete Mathematics, 284 (1-3), 83-95. doi: 10.1016/j.disc.2004.01.009

Existence and embeddings of partial Steiner triple systems of order ten with cubic leaves