By Dr Thomas Britz

Books

Angell D; Britz T, 2024, Parabolic Problems: 60 Years of Mathematical Puzzles in Parabola, CRC Press, http://dx.doi.org/10.1201/9781003396413

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, Springer-Verlag Italia, Milan, pp. 445 - 460

Journal articles

Wang C; Abel RJR; Britz T; Bunjamin YA; Combe D, 2025, 'Group divisible designs with block size 4 and group sizes 4 and 10 and some other 4-GDDs', Discrete Mathematics, 348, pp. 114254, http://dx.doi.org/10.1016/j.disc.2024.114254

Britz T, 2024, 'Book review of Vector: A Surprising Story of Space, Time, and Mathematical Transformation', Parabola, 60, https://www.parabola.unsw.edu.au/sites/default/files/2024-09/vol60_no2_4.pdf

Chng ZY; Britz T; Tan TS; Wong KB, 2024, 'The Ramsey Numbers for Trees of Large Maximum Degree Versus the Wheel Graph W8', Bulletin of the Malaysian Mathematical Sciences Society, 47, pp. 134, http://dx.doi.org/10.1007/s40840-024-01733-0

Abel RJR; Britz T; Bunjamin YA; Combe D, 2024, 'Group divisible designs with block size 4 and group sizes 4 and 7', Journal of Combinatorial Designs, 32, pp. 328 - 346, http://dx.doi.org/10.1002/jcd.21932

Britz T; Chakraborty HS; Ishikawa R; Miezaki T; Tang HC, 2024, 'Harmonic Tutte polynomials of matroids II', Designs, Codes, and Cryptography, 92, pp. 1279 - 1297, http://dx.doi.org/10.1007/s10623-023-01343-0

Li NZ; Britz T, 2024, 'ON THE SCALE-FREENESS OF RANDOM COLORED SUBSTITUTION NETWORKS', Proceedings of the American Mathematical Society, 152, pp. 1377 - 1389, http://dx.doi.org/10.1090/proc/16604

Gilmore N; Britz T; Maartensson E; Orbegoso-Jordan C; Schroder S; Malerba M, 2023, 'Continental-scale assessment of micro-pumped hydro energy storage using agricultural reservoirs', Applied Energy, 349, pp. 121715, http://dx.doi.org/10.1016/j.apenergy.2023.121715

Abel RJR; Britz T; Bunjamin YA; Combe D; Feng T, 2023, 'Group divisible designs with block size 4 where the group sizes are congruent to 1 mod 3', Discrete Mathematics, 346, pp. 113277, http://dx.doi.org/10.1016/j.disc.2022.113277

Britz T, 2022, 'The beauty of the Golden Ratio', Parabola, 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, 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, 345, pp. 112740, http://dx.doi.org/10.1016/j.disc.2021.112740

Britz T; Co-author I, 2020, 'How to write a Parabola article', Parabola, 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, 88, pp. 1503 - 1519, http://dx.doi.org/10.1007/s10623-019-00688-9

Britz T; Carey A; Gesztesy F; Nichols R; Sukochev F; Zanin D, 2020, 'The product formula for regularized Fredholm determinants', Proceedings of the American Mathematical Society, Series B, 8, pp. 42 - 51, http://dx.doi.org/10.1090/bproc/70

Britz T, 2020, 'Fibonacci numbers: Brief history and counting problems', Parabola, 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, 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, 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, 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, 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, 18, pp. 424 - 441, http://dx.doi.org/10.1080/17440572.2017.1377614

Britz T, 2017, 'Geoffrey Marnell: Mathematical Doodlings - Curiosities, Conjectures and Challenges', Parabola, 53, https://www.parabola.unsw.edu.au/sites/default/files/2024-03/vol53_no1_b.pdf

Britz T; Shiromoto K, 2016, 'On the Covering Dimension of a Linear Code', IEEE Transactions on Information Theory, 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, 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, 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, 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, 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, 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, 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, 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, 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, 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, 23, pp. 1082 - 1099

Britz T; Shiromoto K, 2008, 'A MacWilliams type identity for matroids', Discrete Mathematics, 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, 46, pp. 175 - 189

Britz T, 2007, 'Higher support matroids', Discrete Mathematics, 307, pp. 2300 - 2308

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, 53, pp. 2567 - 2571

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

Britz T, 2006, 'On P-weight and P-distance inequalities', Discrete Mathematics, 306, pp. 598 - 599

Britz T; Rutherford CG, 2005, 'Covering radii are not matroid invariants', Discrete Mathematics, 296, pp. 117 - 120

Britz T, 2005, 'Extensions of the Critical Theorem', Discrete Mathematics, 305, pp. 55 - 73

Britz T; Olesky DD; van den Driessche P, 2005, 'Schur complements of matrices with acyclic bipartite graphs', Electronic Journal of Linear Algebra, 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, 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, 26, pp. 257 - 271

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, 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, 546, pp. 123 - 125

Britz T, 2002, 'MacWilliams identities and matroid polynomials', Electronic Journal of Combinatorics, 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, 158, pp. 86 - 127

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