Professor

Darryn Bryant

Email: 
Phone: 
+61 7 336 51342

Background

Darryn Bryant's research interests are in combinatorics, specifically in graph theory and design theory.

He received his PhD from The University of Queensland in 1993. His current research projects concern fundamental open problems on graph decompositions and a new design theory-based approach to signal sampling via compressed sensing.

Availability

Professor Darryn Bryant is:
Available for supervision
Media expert

Fields of research

Pure mathematics

Qualifications

  • Bachelor of Science, The University of Queensland
  • Masters (Coursework), The University of Queensland
  • Doctor of Philosophy, The University of Queensland

Research interests

  • Graph theory and design theory

    Various graph decomposition problems including decompositions into Hamilton cycles, embedding problems and perfect factorisations are being investigated. This includes collaborative work with colleagues at The University of Queensland, and in the UK, USA and Canada.

Search Professor Darryn Bryant’s works on UQ eSpace

159 works between 1992 and 2024
All (159) Journal Article (152) Book Chapter (4) Conference Publication (3)

81 - 100 of 159 works

2004

Journal Article

Configurations in 4-cycle systems

Bryant, D, Grannell, M, Griggs, T and Macaj, M (2004). Configurations in 4-cycle systems. Graphs And Combinatorics, 20 (2), 161-179. doi: 10.1007/s00373-004-0553-4

Configurations in 4-cycle systems

2003

Conference Publication

Common multiples of complete graphs

Bryant, Darryn and Maenhaut, Barbara (2003). Common multiples of complete graphs. United Kingdom: Cambridge University Press. doi: 10.1112/S0024611502013771

Common multiples of complete graphs

2003

Journal Article

Factorizations of the complete graph into C-5-factors and 1-factors

Adams, P, Bryant, D, El-Zanati, SI and Gavlas, H (2003). Factorizations of the complete graph into C-5-factors and 1-factors. Graphs And Combinatorics, 19 (3), 289-296. doi: 10.1007/s00373-002-0509-5

Factorizations of the complete graph into C-5-factors and 1-factors

2003

Journal Article

Least common multiples of cubes

Adams, P., Bryant, D. E., El-Zanati, S. I., Vanden Eynden, C. and Maenhaut, B. (2003). Least common multiples of cubes. Bulletin of the Institute of Combinatorics and its Applications, 38, 45-49.

Least common multiples of cubes

2003

Journal Article

Inferring an original sequence from erroneous copies: two approaches

Keith, J. M., Adams, P., Bryant, D. E., Mitchelson, K. R., Cochran, D.A.E. and Lala, G. H. (2003). Inferring an original sequence from erroneous copies: two approaches. Asia-Pacific Biotech News: Special Issue: Bioinformatics in Asia Pacific, 7 (3), 107-114. doi: 10.1142/s0219030303000284

Inferring an original sequence from erroneous copies: two approaches

2003

Conference Publication

Inferring an original sequence from erroneous copies: A Bayesian approach

Keith, J. M., Adams, P., Bryant, D. E., Mitchelson, K. R., Cochran, D.A.E. and Lala, G. H. (2003). Inferring an original sequence from erroneous copies: A Bayesian approach. First Asia-Pacific Bioinformatics Conference, Adelaide Conference Centre, 3-6 February, 2003. Sydney: Australian Computer Society.

Inferring an original sequence from erroneous copies: A Bayesian approach

2003

Journal Article

Skolem-type difference sets for cycle systems

Bryant, D., Gavlas, H. and Ling, A. C. H. (2003). Skolem-type difference sets for cycle systems. Electronic Journal of Combinatorics, 10 (1). doi: 10.37236/1731

Skolem-type difference sets for cycle systems

2003

Journal Article

On the volume of 4-cycle trades

Bryant, D., Grannell, M., Griggs, T. and Maenhaut, B. (2003). On the volume of 4-cycle trades. Graphs And Combinatorics, 19 (1), 53-63. doi: 10.1007/s00373-002-0484-x

On the volume of 4-cycle trades

2003

Journal Article

Large sets of large sets of Steiner triple systems of order 9

Bryant, D., Grannell, M. and Griggs, T. (2003). Large sets of large sets of Steiner triple systems of order 9. Utilitas Mathematica, 64, 115-118.

Large sets of large sets of Steiner triple systems of order 9

2002

Journal Article

A family of perfect factorisations of complete bipartite graphs

Bryant, Darryn, Maenhaut, Barbara M. and Wanless, Ian M. (2002). A family of perfect factorisations of complete bipartite graphs. Journal of Combinatorial Theory Series A, 98 (2), 328-342. doi: 10.1006/jcta.2001.3240

A family of perfect factorisations of complete bipartite graphs

2002

Journal Article

A subset-oriented algorithm for minimizing the number of steps required for synthesis of cyclic-peptide libraries

Tran, T. T., Bryant, D. E. and Smythe, M. L. (2002). A subset-oriented algorithm for minimizing the number of steps required for synthesis of cyclic-peptide libraries. Computers and Chemistry, 26 (2), 113-117. doi: 10.1016/S0097-8485(01)00087-0

A subset-oriented algorithm for minimizing the number of steps required for synthesis of cyclic-peptide libraries

2002

Journal Article

Two-dimensional balanced sampling plans excluding contiguous units

Bryant, D. E., Chang, Y. X., Rodger, C. A. and Wei, R. (2002). Two-dimensional balanced sampling plans excluding contiguous units. Communications In Statistics-theory And Methods, 31 (8), 1441-1455. doi: 10.1081/STA-120006078

Two-dimensional balanced sampling plans excluding contiguous units

2002

Journal Article

A simulated annealing algorithm for finding consensus sequences

Keith, Jonathan M., Adams, Peter, Bryant, Darryn, Kroese, Dirk P., Mitchelson, Keith R., Cochran, Duncan A. E. and Lala, Gita H. (2002). A simulated annealing algorithm for finding consensus sequences. Bioinformatics, 18 (11), 1494-1499. doi: 10.1093/bioinformatics/18.11.1494

A simulated annealing algorithm for finding consensus sequences

2002

Journal Article

On the possible volumes of mu-way latin trades

Adams, P., Billington, E. J., Bryant, D. E. and Mahmoodian, E. (2002). On the possible volumes of mu-way latin trades. Aequationes Mathematicae, 63 (3), 303-320. doi: 10.1007/s00010-002-8026-4

On the possible volumes of mu-way latin trades

2002

Journal Article

Factorizations of and by powers of complete graphs

Bryant, D. E., El-Zanati, S. I. and Vanden Eynden, C. (2002). Factorizations of and by powers of complete graphs. Discrete Mathematics, 243 (1-3), 201-205. doi: 10.1016/S0012-365X(01)00216-3

Factorizations of and by powers of complete graphs

2002

Journal Article

A conjecture on small embeddings of partial Steiner triple systems

Bryant, D (2002). A conjecture on small embeddings of partial Steiner triple systems. Journal of Combinatorial Designs, 10 (5), 313-321. doi: 10.1002/jcd.10017

A conjecture on small embeddings of partial Steiner triple systems

2002

Journal Article

C4-saturated bipartite graphs

Bryant, DE and Fu, HL (2002). C4-saturated bipartite graphs. Discrete Mathematics, 259 (1-3), 263-268. doi: 10.1016/S0012-365X(02)00371-0

C4-saturated bipartite graphs

2002

Journal Article

The three-way intersection problem for latin squares

Adams, P., Billington, E. J., Bryant, D. E. and Mahmoodian, E. S. (2002). The three-way intersection problem for latin squares. Discrete Mathematics, 243 (1-3), 1-19. doi: 10.1016/S0012-365X(00)00454-4

The three-way intersection problem for latin squares

2002

Journal Article

Decompositions of the complete graph into small 2-regular graphs

Adams, P., Bryant, D. E. and Gavlas, H. (2002). Decompositions of the complete graph into small 2-regular graphs. Journal of Combinatorial Mathematics and Combinatorial Computing, 43, 135-146.

Decompositions of the complete graph into small 2-regular graphs

2002

Journal Article

Another quick proof that K10 P + P + P

Bryant, D. E. (2002). Another quick proof that K10 P + P + P. Bulletin of the Institute of Combinatorics and its Applications, 34, 86-86.

Another quick proof that K10 P + P + P

Current funding

  • 2024 - 2028
    Fractional decomposition of graphs and the Nash-Williams conjecture (ARC Discovery Project externally administered by Monash University)
    Monash University
    Open grant

Past funding

  • 2015 - 2018
    Decompositions of graphs into cycles
    Vice-Chancellor's Senior Research Fellowship
    Open grant
  • 2015 - 2019
    Matchings in Combinatorial Structures (ARC Discovery Project administered by Monash University)
    Monash University
    Open grant
  • 2015 - 2018
    The Oberwolfach Problem and related Graph Factorisations
    ARC Discovery Projects
    Open grant
  • 2012 - 2016
    A new approach to compressed sensing
    ARC Discovery Projects
    Open grant
  • 2012 - 2015
    Decompositions of graphs into cycles: Alspach's Conjecture and the Oberwolfach Problem.
    ARC Discovery Projects
    Open grant
  • 2012
    ResTeach Funding 2012 0.2 FTE School of Math & Physics
    UQ ResTeach
    Open grant
  • 2007 - 2011
    Cycle decompositions of graphs
    ARC Discovery Projects
    Open grant
  • 2006 - 2010
    Analysis of the Structure of Latin Squares (ARC Discovery project administered by Monash University)
    Monash University
    Open grant
  • 2003
    To Expand Research On The Isolation And Direct To Work On New Combinatorial Graph Decompositions Techniques
    UQ Travel Grants Scheme
    Open grant
  • 2002 - 2003
    Emerging applications of advanced computational methods and discrete mathematics.
    ARC Discovery Projects
    Open grant
  • 2002 - 2006
    Mutagenesis and combinatorial algorithms for sequencing problematic genomic regions.
    ARC Discovery Projects
    Open grant
  • 1999
    Combinatorial graph decomposition techniques and DNA sequencing by hybridisation
    UQ Foundation Research Excellence Awards - DVC(R) Funding
    Open grant
  • 1998
    Embedding Cycle Systems of Multigraphs
    University of Queensland New Staff Research Grant
    Open grant
  • 1998 - 2000
    Rapid DNA sequencing by hybridization of a patterned colloidal array
    ARC Australian Research Council (Large grants)
    Open grant
  • 1997 - 1999
    Statistical laws for computational collapse of chaotic systems
    ARC Australian Research Council (Large grants)
    Open grant
  • 1997 - 1999
    Trades in graphs
    ARC Australian Research Council (Large grants)
    Open grant
  • 1996 - 1998
    Large sets of cycle systems and related designs
    ARC Australian Postdoctoral Research Fellowship
    Open grant
  • 1995 - 1997
    Parallel algorithms and computational techniques in combinatorial design theory
    ARC Australian Research Council (Large grants)
    Open grant

Availability

Professor Darryn Bryant is:
Available for supervision

Before you email them, read our advice on how to contact a supervisor.

Available projects

  • The 2-factorisation problem for complete graphs

    This project examines the existence of 2-factorisations of complete graphs in which the 2-factors are isomorphic to given 2-regular graphs. Using computers the problem has been completely solved for complete graphs of order less than 20 and several infinite families of results are known. However much work remains to be done on this problem and there is plenty of scope for new discoveries to be made by students who enjoy design theory or graph theory.

  • Hamilton cycle decompositions of Cayley graphs and related topics

    There is an unsolved conjecture that every connected 2k-regular Cayley graph on a finite abelian group has a decomposition into k Hamilton cycles. Cayley graphs are graphs based on groups and students who like group theory or graph theory will enjoy working on this and related problems.

Supervision history

Current supervision

  • Doctor Philosophy

    Hypergraphs with high chromatic index

    Associate Advisor

    Other advisors: Dr Sara Davies

  • Doctor Philosophy

    Analytic number theory and applications to graph theory

    Associate Advisor

    Other advisors: Dr Adrian Dudek

Completed supervision

Enquiries

Contact Professor Darryn Bryant directly for media enquiries about:

  • Combinatorics
  • Design theory - mathematics
  • Graph theory - mathematics
  • Maths - combinatorics

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