Select Publications

Book Chapters

Britz T; Cameron PJ, 2022, 'Codes', in Ellis-Monaghan JA; Moffatt I (ed.), Handbook of the Tutte Polynomial, Chapman & Hall/CRC, pp. 328 - 344, http://dx.doi.org/10.1201/9780429161612-16

Britz T; Mainetti M; Pezzoli L, 2001, 'Some operations on the family of equivalence relations', in Crapo H; Senato D (ed.), Algebraic Combinatorics and Computer Science. A Tribute To Gian-Carlo Rota, edn. Original, Springer-Verlag Italia, Milan, pp. 445 - 460

Journal articles

Britz T, 2022, 'The beauty of the Golden Ratio', Parabola, vol. 58, https://www.parabola.unsw.edu.au/2020-2029/volume-58-2022/issue-2/article/beauty-golden-ratio

Abel RJR; Britz T; Bunjamin YA; Combe D, 2022, 'Group divisible designs with block size 4 and group sizes 2 and 5', Journal of Combinatorial Designs, vol. 30, pp. 367 - 383, http://dx.doi.org/10.1002/jcd.21830

Abel RJR; Britz T; Bunjamin YA; Combe D, 2022, 'Group divisible designs with block size 4 where the group sizes are congruent to 2 mod 3', Discrete Mathematics, vol. 345, http://dx.doi.org/10.1016/j.disc.2021.112740

Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2021, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, vol. 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70

Britz T; Co-author I, 2020, 'How to write a Parabola article', Parabola, vol. 56, https://www.parabola.unsw.edu.au/2020-2029/volume-56-2020/issue-2/article/how-write-parabola-article

Britz T; Mammoliti A; Shiromoto K, 2020, 'Wei-type duality theorems for rank metric codes', Designs, Codes, and Cryptography, vol. 88, pp. 1503 - 1519, http://dx.doi.org/10.1007/s10623-019-00688-9

Britz T, 2020, 'Fibonacci numbers: Brief history and counting problems', Parabola, vol. 56, https://www.parabola.unsw.edu.au/2020-2029/volume-56-2020/issue-1/article/fibonacci-numbers-brief-history-and-counting-problems

Britz T; Cavenagh NJ; Mammoliti A; Wanless IM, 2020, 'Mutually orthogonal binary frequency squares', Electronic Journal of Combinatorics, vol. 27, pp. 1 - 26, http://dx.doi.org/10.37236/9373

Tran B; Straka P; Falster MO; Douglas KA; Britz T; Jorm LR, 2018, 'Overcoming the data drought: Exploring general practice in Australia by network analysis of big data', Medical Journal of Australia, vol. 209, pp. 68 - 73, http://dx.doi.org/10.5694/mja17.01236

Mammoliti A; Britz T, 2018, 'On mubayi's conjecture and conditionally intersecting sets', SIAM Journal on Discrete Mathematics, vol. 32, pp. 2361 - 2380, http://dx.doi.org/10.1137/18M1166250

Britz T, 2018, 'On the betweenness centrality of trees, forests and cycles', Sustainable Forestry, vol. 1, pp. 1 - 5, http://dx.doi.org/10.24294/sf.v1i2.968

Bright D; Greenhill C; Britz T; Ritter A; Morselli C, 2017, 'Criminal network vulnerabilities and adaptations', Global Crime, vol. 18, pp. 424 - 441, http://dx.doi.org/10.1080/17440572.2017.1377614

Britz T; Shiromoto K, 2016, 'On the Covering Dimension of a Linear Code', IEEE Transactions on Information Theory, vol. 62, pp. 2694 - 2701, http://dx.doi.org/10.1109/TIT.2016.2538768

Hunter DO; Britz T; Jones M; Letnic M, 2016, 'Reintroduction of Tasmanian devils to mainland Australia can restore top-down control in ecosystems where dingoes have been extirpated: A response to Baker et al. 2016 and Fancourt & Mooney 2016', Biological Conservation, vol. 196, pp. 20 - 21, http://dx.doi.org/10.1016/j.biocon.2016.01.021

Hunter DO; Britz T; Jones M; Letnic MI, 2015, 'Reintroduction of Tasmanian devils to mainland Australia can restore top-down control in ecosystems where dingoes have been extirpated', Biological Conservation, vol. 191, pp. 428 - 435, http://dx.doi.org/10.1016/j.biocon.2015.07.030

Britz T; Shiromoto K; Westerbäck T, 2015, 'Demi-matroids from codes over finite Frobenius rings', Designs, Codes, and Cryptography, vol. 75, pp. 97 - 107, http://dx.doi.org/10.1007/s10623-013-9895-3

Britz T; Cavenagh NJ; Sørensen HK, 2015, 'Maximal partial Latin cubes', Electronic Journal of Combinatorics, vol. 22, http://dx.doi.org/10.37236/4726

Britz T; Mammoliti A; Sørensen HK, 2014, 'Proof by picture: A selection of nice picture proofs', Parabola, vol. 3, pp. 5 - 15, https://www.parabola.unsw.edu.au/2010-2019/volume-50-2014/issue-3/article/proof-picture-selection-nice-picture-proofs

Britz T; Johnsen T; Martin J, 2014, 'Chains, demi-matroids, and profiles', IEEE Transactions on Information Theory, vol. 60, pp. 986 - 991, http://dx.doi.org/10.1109/TIT.2013.2292524

Chan TH; Grant A; Britz T, 2013, 'Quasi-uniform codes and their applications', IEEE Transactions on Information Theory, vol. 59, pp. 7915 - 7926, http://dx.doi.org/10.1109/TIT.2013.2280914

Britz T; Johnsen T; Mayhew D; Shiromoto K, 2012, 'Wei-type duality theorems for matroids', Designs Codes and Cryptography, vol. 62, pp. 331 - 341, http://dx.doi.org/10.1007/s10623-011-9524-y

Britz T, 2010, 'Code enumerators and Tutte polynomials', IEEE Transactions on Information Theory, vol. 56, pp. 4350 - 4358, http://dx.doi.org/10.1109/TIT.2010.2054654

Britz T; Royle G; Shiromoto K, 2009, 'Designs from matroids', SIAM Journal on Discrete Mathematics, vol. 23, pp. 1082 - 1099, http://dx.doi.org/10.1137/080728913

Britz T; Shiromoto K, 2008, 'A MacWilliams type identity for matroids', Discrete Mathematics, vol. 308, pp. 4551 - 4559, http://dx.doi.org/10.1016/j.disc.2007.08.064

Britz T; Shiromoto K, 2008, 'Designs from subcode supports of linear codes', Designs Codes and Cryptography, vol. 46, pp. 175 - 189, http://dx.doi.org/10.1007/s10623-007-9145-7

Britz T, 2007, 'Higher support matroids', Discrete Mathematics, vol. 307, pp. 2300 - 2308, http://dx.doi.org/10.1016/j.disc.2006.12.001

Britz D; Britz T; Shiromoto K, 2007, 'The higher weight enumerators of the doubly-even self-dual [48,24,12] code', IEEE Transactions on Information Theory, vol. 53, pp. 2567 - 2571, http://dx.doi.org/10.1109/TIT.2007.899509

Britz T, 2007, 'The Moore-Penrose inverse of a free matrix', Electronic Journal of Linear Algebra, vol. 16, pp. 208 - 215

Britz T, 2006, 'On P-weight and P-distance inequalities', Discrete Mathematics, vol. 306, pp. 598 - 599, http://dx.doi.org/10.1016/j.disc.2006.01.017

Britz T; Rutherford CG, 2005, 'Covering radii are not matroid invariants', Discrete Mathematics, vol. 296, pp. 117 - 120, http://dx.doi.org/10.1016/j.disc.2005.03.002

Britz T, 2005, 'Extensions of the Critical Theorem', Discrete Mathematics, vol. 305, pp. 55 - 73, http://dx.doi.org/10.1016/j.disc.2005.10.002

Britz T; Olesky DD; van den Driessche P, 2005, 'Schur complements of matrices with acyclic bipartite graphs', Electronic Journal of Linear Algebra, vol. 14, pp. 2 - 11

Britz T; Olesky DD; van den Driessche P, 2004, 'Matrix inversion and digraphs: the one factor case', Electronic Journal of Linear Algebra, vol. 11, pp. 115 - 131

Britz T; Mcdonald JJ; Olesky DD; van den Driessche P, 2004, 'Minimal spectrally arbitrary sign patterns', SIAM Journal on Matrix Analysis and Applications, vol. 26, pp. 257 - 271, http://dx.doi.org/10.1137/S0895479803432514

Britz T; Olesky DD; van den Driessche P, 2004, 'The Moore-Penrose inverse of matrices with an acyclic bipartite graph', Linear Algebra and its Applications, vol. 390, pp. 47 - 60, http://dx.doi.org/10.1016/j.laa.2004.04.007

Britz T; Britz D, 2003, 'Mathematical proof of the consistency of Feldberg’s simple BDF start in electrochemical digital simulation', Journal of Electroanalytical Chemistry, vol. 546, pp. 123 - 125, http://dx.doi.org/10.1016/S0022-0728(03)00149-9

Britz T, 2002, 'MacWilliams identities and matroid polynomials', Electronic Journal of Combinatorics, vol. R9, pp. 1 - 19, http://www.combinatorics.org/Volume_9/Abstracts/v9i1r19.html

Britz T; Fomin S, 2001, 'Finite posets and Ferrers shapes', Advances in Mathematics, vol. 158, pp. 86 - 127, http://dx.doi.org/10.1006/aima.2000.1966

Britz T, 2001, 'The inverse of a non-singular free matrix', Linear Algebra and its Applications, vol. 338, pp. 245 - 249, http://dx.doi.org/10.1016/S0024-3795(01)00409-8

Conference Papers

Chan TH; Grant A; Britz T, 2010, 'Properties of quasi-uniform codes', in 2010 IEEE International Symposium on Information Theory Proceedings, Austin, Texas, pp. 1153 - 1157, presented at 2010 IEEE International Symposium on Information Theory, Austin, Texas, 13 June 2010 - 18 June 2010, http://dx.doi.org/10.1109/ISIT.2010.5513674

Software / Code

Britz T; Bright D; Snoyman R, 2019, Criminal Networks, Published: 2019, Software / Code, https://rsnoyman.shinyapps.io/criminal_networks/

Britz T; Britz D; Sørensen HK, 2007, Fast Tutte polynomial calculator, Maple, C++, Fortran, Published: 22 August 2007, Software / Code, http://www.thomasbritz.dk/notes/TuttePol-02a01.zip

Theses / Dissertations

Britz T, 2003, Matroids, Codes and Relations, University of Aarhus

Recorded / Rendered Creative Works

Britz T, 2021, How to create a supportive learning community, UNSW eLearning, Editor(s): Britz T, Published: 07 March 2021, Duration: 00:13:39, Recorded / Rendered Creative Works, https://youtu.be/ij8JYS2f6Og

Britz T, 2019, The Emotions of Mathematics, TEDx Talks, YouTube, Editor(s): TEDxUNSW , Published: 12 April 2019, Duration: 00:14:31, Recorded / Rendered Creative Works, https://youtu.be/Pp63Ot_l6Yk

Media

Britz T, 2022, Does Amber Heard really have the world’s most beautiful face? An expert explains why the Golden Ratio test is bogus, The Conversation Media Group Ltd, https://theconversation.com/does-amber-heard-really-have-the-worlds-most-beautiful-face-an-expert-explains-why-the-golden-ratio-test-is-bogus-187018

Preprints

Hu X; Islam A; Britz T, 2022, Bounds on the closeness centrality of a graph, http://arxiv.org/abs/2204.11283v1

Li Z; Britz T, 2021, On the scale-freeness of random colored substitution networks, http://arxiv.org/abs/2109.14463v1


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