By Honorary Lecturer Dr Julian Abel

Book Chapters

Mathon R; Rosa A; Colbourn C; Julian R. Abel R; Greig M; Khosrovshahi G; Laue R; Ionin Y; van Trung T; Ge G; Yin J, 2006, 'Block Design', in Discrete Mathematics and Its Applications, Chapman and Hall/CRC, pp. 124 - 132, http://dx.doi.org/10.1201/9781420010541.pt2

Colbourn C; Dinitz J; Wanless I; Bennett F; Lindner C; Julian R. Abel R; Finizio N; Zhu L; Greig M, 2006, 'Latin Squares', in Discrete Mathematics and Its Applications, Chapman and Hall/CRC, pp. 224 - 228, http://dx.doi.org/10.1201/9781420010541.pt3

Godsil C; Song S; Hurd S; Sarvate D; Lamken E; Stinson D; Delandtsheer A; Evans A; Gropp H; Gopalakrishnan K; Taylor H; Dinitz J; Colbourn C; Gordon D; Bryant D; Rodger C; Gray K; Penfold Street A; Levenshtein V; Julian R. Abel R; Buratti M; Jungnickel D; Pott A; Smith K; Shearer J; Bennett F; Mahmoodi A; Street D; Laywine C; Mullen G; Payne S; El-Zanati S; _iráñ J; Meng Chee Y; Kreher D; Bermond J-C; Coudert D; Bénéteau L; Cameron P; Webb B; Margaret Batten L; Li B; John van Rees G; Blake I; Kudrle J; Menard S; Mendelsohn E; Morgan J; Bierbrauer JU; Wei R; Yin J; Thas J; Walker II R; Dukes P; Torney D; McGuire G; Shrikhande M; Dinitz J; Froncek D; Wallis W; Shalaby N; Munemasa A; Hwang F; Gronau H-D; Martin W; Hedayat A; Khosrovshahi G; Ruszinkó M; Chu W; Golomb S; Song H-Y; Kramer E; Anderson I; Finizio N; Preece D, 2006, 'Other Combinatorial Designs', in Discrete Mathematics and Its Applications, Chapman and Hall/CRC, pp. 668 - 674, http://dx.doi.org/10.1201/9781420010541.pt6

Mullin R; Gronau H-D; Greig M; Julian R. Abel R; Bennett F; Ge G; Miao Y; Betten A, 2006, 'Pairwise Balanced Designs', in Discrete Mathematics and Its Applications, Chapman and Hall/CRC, pp. 266 - 270, http://dx.doi.org/10.1201/9781420010541.pt4

Julian R; Abel R; Bennett FE, 2003, 'The Existence of 2-SOLSSOMs', in Designs 2002, Springer US, pp. 1 - 21, http://dx.doi.org/10.1007/978-1-4613-0245-2_1

Journal articles

Miller A; Valkov I; Abel RJR, 2026, 'Combinatorial Solutions to the Social Golfer Problem and the Social Golfer Problem with Adjacent Group Sizes', Symmetry, 18, pp. 269 - 269, http://dx.doi.org/10.3390/sym18020269

Abel RJR; Janiszczak I; Staszewski R, 2025, 'Improvements for lower bounds of mutually orthogonal Latin squares of sizes 54, 96 and 108', Designs Codes and Cryptography, 93, pp. 3565 - 3573, http://dx.doi.org/10.1007/s10623-025-01629-5

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

Chen J; Yu H; Abel RJR; Wu D, 2025, 'Completely reducible super-simple (v,4,4)-BIBDs and related constant weight codes', Journal of Combinatorial Designs, 33, pp. 27 - 36, http://dx.doi.org/10.1002/jcd.21958

Miller A; Abel RJR; Valkov I; Fraser D, 2024, 'Implementing the MOLS Table for n Up to 500', Symmetry, 16, http://dx.doi.org/10.3390/sym16121678

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

Yu H; Chen J; Abel RJR; Wu D, 2024, 'The existence of 23-decomposable super-simple (v,4,6)-BIBDs', Journal of Combinatorial Designs, 32, pp. 297 - 307, http://dx.doi.org/10.1002/jcd.21935

Yu H; Chen J; Abel RJR; Wu D, 2023, 'The existence of λ-decomposable super-simple (4,2λ)-GDDs of type gu with λ=2,4', Journal of Combinatorial Designs, 31, pp. 289 - 303, http://dx.doi.org/10.1002/jcd.21881

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

Abel RJR; Bunjamin YA; Combe D, 2022, 'The 4-GDDs of type 3562', Discrete Mathematics, 345, http://dx.doi.org/10.1016/j.disc.2022.112983

Chen J; Yu H; Abel RJR; Wu D, 2022, 'Decomposable super-simple BIBDs with block size 4 and index 4, 6', Journal of Combinatorial Designs, 30, pp. 461 - 473, http://dx.doi.org/10.1002/jcd.21835

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

Pan R; Abel RJR; Bunjamin YA; Feng T; Wang X; Zhang M, 2022, 'Difference matrices with four rows over generalized dihedral groups', Journal of Combinatorial Designs, 30, pp. 298 - 314, http://dx.doi.org/10.1002/jcd.21825

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

Pan R; Abel RJR; Bunjamin YA; Feng T; Tsang Ung TJ; Wang X, 2022, 'Difference matrices with five rows over finite abelian groups', Designs Codes and Cryptography, 90, pp. 367 - 386, http://dx.doi.org/10.1007/s10623-021-00981-6

Abel RJR; Bunjamin YA; Combe D, 2021, 'Existence of 4-GDDs with at most 50 points and 4-GDDs of types 6s3t and 9s3t', Discrete Mathematics, 344, http://dx.doi.org/10.1016/j.disc.2021.112479

Abel J; Bunjamin YA; Combe D, 2020, 'Some new group divisible designs with block size 4 and two or three group sizes', Journal of Combinatorial Designs, http://dx.doi.org/10.1002/jcd.21719

Tang J; Abel RJR; Wang J, 2020, 'Existence of incomplete canonical Kirkman covering designs', Discrete Mathematics, 343, http://dx.doi.org/10.1016/j.disc.2019.111681

Sun X; Abel RJR; Yu H; Wu D, 2019, 'Decomposable super-simple RBIBDs with block size 4 and index 6', Journal of Combinatorial Designs, 27, pp. 734 - 755, http://dx.doi.org/10.1002/jcd.21675

Yu H; Sun X; Wu D; Abel RJR, 2019, 'Decomposable super-simple NRBIBDs with block size 4 and index 6', Journal of Combinatorial Designs, 27, pp. 27 - 41, http://dx.doi.org/10.1002/jcd.21637

Abel J, 2018, 'Existence of t strongly symmetric pairwise orthogonal Latin squares for t in {3,4,5}', Australasian Journal of Combinatorics, 72, pp. 306 - 328

Wang L; Abel RJR; Deng D; Wang J, 2018, 'Existence of incomplete canonical Kirkman packing designs', Discrete Mathematics, 341, pp. 536 - 554, http://dx.doi.org/10.1016/j.disc.2017.09.022

Abel RJR; Combe D; Nelson AM; Palmer WD, 2017, 'Block designs signed over groups of order 2n3m', Discrete Mathematics, 340, pp. 2925 - 2940, http://dx.doi.org/10.1016/j.disc.2017.07.023

Julian R; Abel R, 2017, 'Existence of near resolvable (upsilon, k, k - 1) BIBDs with k is an element of {9, 12, 16}', AUSTRALASIAN JOURNAL OF COMBINATORICS, 67, pp. 25 - 45, https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000391947100003&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=891bb5ab6ba270e68a29b250adbe88d1

Abel RJR; Bailey RF; Burgess AC; Danziger P; Mendelsohn E, 2016, 'On generalized Howell designs with block size three', Designs Codes and Cryptography, 81, pp. 365 - 391, http://dx.doi.org/10.1007/s10623-015-0162-7

Du J; Abel RJR; Wang J, 2015, 'Some new resolvable GDDs with k = 4 and doubly resolvable GDDs with k = 3', Discrete Mathematics, 338, pp. 2105 - 2118, http://dx.doi.org/10.1016/j.disc.2015.05.008

Abel RJR; Li Y, 2015, 'Some constructions for t pairwise orthogonal diagonal Latin squares based on difference matrices', Discrete Mathematics, 338, pp. 593 - 607, http://dx.doi.org/10.1016/j.disc.2014.11.018

Abel RJR, 2015, 'Existence of Five MOLS of Orders 18 and 60', JOURNAL OF COMBINATORIAL DESIGNS, 23, pp. 135 - 139, http://dx.doi.org/10.1002/jcd.21384

Abel RJR; Bennett FE, 2014, 'Existence of HSOLSSOMs of type 4nu1', Australasian Journal of Combinatorics, 59, pp. 260 - 281

Abel RJ; Colbourn C; Lamken E; Wang C; Wang J; Chan N, 2013, 'Doubly resolvable nearly Kirkman triple systems', Journal of Combinatorial Designs, 21, pp. 342 - 358, http://dx.doi.org/10.1002/jcd.21342

Abel RJ; Combe D; Nelson AM; Palmer WD, 2013, 'GBRDs over supersolvable groups and solvable groups of order prime to 3', Designs Codes and Cryptography, 69, pp. 189 - 201, http://dx.doi.org/10.1007/s10623-012-9646-x

Abel RJ; Cavenagh N, 2013, 'Induced subarrays of Latin squares without repeated symbols', Electronic Journal of Combinatorics, 20, http://www.combinatorics.org/ojs/index.php/eljc/article/view/v20i1p44

Abel RJ; Bennett FE, 2012, 'Existence of 2 SOLS and 2 ISOLS', Discrete Mathematics, 312, pp. 854 - 867, http://dx.doi.org/10.1016/j.disc.2011.10.010

Abel RJ; Combe D; Nelson AM; Palmer WD, 2012, 'GBRDs with block size 3 over odd order groups and groups of orders divisible by 2 but not 4', Australasian Journal of Combinatorics, 52, pp. 123 - 132

Abel RJ; Bennett FE, 2012, 'Super-Simple Twofold Steiner Pentagon Systems', Graphs and Combinatorics, 28, pp. 297 - 308, http://dx.doi.org/10.1007/s00373-011-1053-y

Abel RJ; Combe D; Palmer WD; Chan N, 2011, 'Existence of GBRDs with block size 4 and BRDs with block size 5', Designs Codes and Cryptography, 61, pp. 285 - 300, http://dx.doi.org/10.1007/s10623-010-9477-6

Abel RJ; Combe D; Nelson AM; Palmer WD, 2011, 'GBRDs with block size three over 2-groups, semi-dihedral groups and nilpotent groups', Electronic Journal of Combinatorics, 18, pp. #p32 (12pp)

Abel RJ; Anderson I; Finizio NJ, 2011, 'Necessary conditions for the existence of two classes of ZCPS-Wh(v)', Discrete Applied Mathematics, 159, pp. 848 - 851, http://dx.doi.org/10.1016/j.dam.2011.01.005

Abel RJ; Bennett FE, 2010, 'Existence of directed BIBDs with block size 7 and related perfect 5-deletion-correcting codes of length 7', Designs Codes and Cryptography, 57, pp. 383 - 397, http://dx.doi.org/10.1007/s10623-010-9376-x

Abel RJ; Chan N, 2010, 'Existence of doubly near resolvable (v, 4, 3)-BIBDs', Australasian Journal of Combinatorics, 47, pp. 109 - 124

Abel RJ; Combe D; Nelson AM; Palmer WD, 2010, 'GBRDs over groups of orders ≤ 100 or of order pg with p, q primes', Discrete Mathematics, 310, pp. 1080 - 1088, http://dx.doi.org/10.1016/j.disc.2009.11.008

Abel RJ; Assaf AM; Bluskov I; Greig M; Shalaby N, 2010, 'New results on GDDs, covering, packing and directable designs with block size 5', Journal of Combinatorial Designs, 18, pp. 337 - 368, http://dx.doi.org/10.1002/jcd.20253

Abel RJ; Bennett FE, 2010, 'Super-simple, pan-orientable and pan-decomposable GDDs with block size 4', Discrete Mathematics, 310, pp. 1066 - 1079, http://dx.doi.org/10.1016/j.disc.2009.11.001

Abel RJ; Finizio NJ; Greig M; Morales LB, 2009, 'Existence of (2, 8) GWhD(v) and (4, 8) GWhD(v) with v ≡ 0, 1 (mod 8)', Designs Codes and Cryptography, 51, pp. 79 - 97

Abel RJ; Combe D; Price G; Palmer WD, 2009, 'Existence of generalised Bhaskar Rao designs with block size 3', Discrete Mathematics, 309, pp. 4069 - 4078

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