Honorary Lecturer Dr Julian Abel

Back to

My main research area is combinatorial designs. Topics of particular interest include orthogonal Latin squares, covering and packing designs, resolvable designs, difference families, group divisible and pairwise balanced designs, whist tournaments, perfect Mendelsohn designs, Bhaskar Rao designs, directed designs and error correcting codes.

Phone

+612 9385 7091

E-mail

r.j.abel@unsw.edu.au

Location

School of Mathematics and Statistics Room 1039 The Red Centre UNSW NSW 2052

Book Chapters | 2006

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

Book Chapters | 2006

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

Book Chapters | 2006

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

Book Chapters | 2006

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

Book Chapters | 2003

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 | 2026

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, http://dx.doi.org/10.3390/sym18020269

Journal articles | 2025

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

Journal articles | 2025

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

Journal articles | 2025

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

Journal articles | 2024

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

Journal articles | 2024

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

Journal articles | 2024

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

Journal articles | 2023

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

Journal articles | 2023

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

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2022

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

Journal articles | 2021

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

Journal articles | 2020

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

Journal articles | 2020

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

Journal articles | 2019

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

Journal articles | 2019

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

Journal articles | 2018

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

Journal articles | 2018

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

Journal articles | 2017

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

Journal articles | 2017

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

Journal articles | 2016

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

Journal articles | 2015

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

Journal articles | 2015

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

Journal articles | 2015

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

Journal articles | 2014

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

Journal articles | 2013

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

Journal articles | 2013

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

Journal articles | 2013

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

Journal articles | 2012

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

Journal articles | 2012

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

Journal articles | 2012

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

Journal articles | 2011

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

Journal articles | 2011

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)

Journal articles | 2011

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

Journal articles | 2010

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

Journal articles | 2010

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

Journal articles | 2010

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

Journal articles | 2010

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

Journal articles | 2010

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

Journal articles | 2009

Abel RJ; Bennett FE; Gruttmuller M, 2009, 'Super-simple, pan-orientable, and pan-decomposable BIBDs with block size 4 and related structures', Graphs and Combinatorics, 25, pp. 767 - 788

Journal articles | 2009

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

Journal articles | 2009

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

Journal articles | 2009

Abel RJ; Ge G; Greig M; Ling AC, 2009, 'Further results on (v, {5, w*}, 1)-PBDs', Discrete Mathematics, 309, pp. 2323 - 2339

Journal articles | 2009

Abel RJ; Ge G, 2009, 'Ordered tournaments and ordered triplewhist tournaments with the three person property', Journal of Combinatorial Designs, 17, pp. 39 - 52

Journal articles | 2008

Abel RJ; Assaf AM, 2008, 'Modified group divisible designs with block size 5 and even index', Discrete Mathematics, 308, pp. 3335 - 3351

Journal articles | 2008

Abel RJ; Bennett FE; Ge N, 2008, 'Super-simple holey steiner pentagon systems and related designs', Journal of Combinatorial Designs, 16, pp. 301 - 328, http://dx.doi.org/10.1002/jcd.20171

Journal articles | 2008

Abel RJ; Bennett FE; Zhang H, 2008, 'Existence of HSOLSSOMs of Type 2^n u^1', Discrete Mathematics, 308, pp. 5149 - 5173

Journal articles | 2008

Abel RJ; Bennett FE, 2008, 'Super-simple Steiner pentagon systems', Discrete Applied Mathematics, 156, pp. 780 - 793

Journal articles | 2008

Abel RJ; Bennett FT; Ge G, 2008, 'Existence of directed triplewhist tournaments with the three person property 3P DT Wh(v)', Discrete Applied Mathematics, 156, pp. 2655 - 2665

Journal articles | 2008

Abel RJ; Lamken E; Wang J, 2008, 'A few more Kirkman squares and doubly near resolvable BIBDs with block size 3', Discrete Mathematics, 308, pp. 1102 - 1123

Journal articles | 2008

Abel RJ, 2008, 'Some V(12,t) vectors and designs from difference and quasi-difference matrices', Australasian Journal of Combinatorics, 40, pp. 69 - 86

Journal articles | 2007

Abel RJ; Assaf AM; Bennett FE; Bluskov I; Greig M, 2007, 'Pair covering designs with block size 5', Discrete Mathematics, 307, pp. 1776 - 1791, http://dx.doi.org/10.1016/j.disc.2006.09.026

Journal articles | 2007

Abel RJ; Bluskov I; Greig M; de Heer J, 2007, 'Pair covering and other designs with block size 6', Journal of Combinatorial Designs, 15, pp. 511 - 533

Journal articles | 2007

Abel RJ; Cavenagh NJ, 2007, 'Concerning eight mutually orthogonal Latin squares', Journal of Combinatorial Designs, 15, pp. 255 - 261

Journal articles | 2007

Abel RJ; Costa S; Finizio NJ; Greig M, 2007, '(2,10) GWhD (10n+1) - Existence results', Journal of Combinatorial Mathematics and Combinatorial Computing, 61, pp. 3 - 9

Journal articles | 2007

Abel RJ, 2007, 'Some new near resolvable BIBDs with k=7 and resolvable BIBDs with k=5', Australasian Journal of Combinatorics, 37, pp. 141 - 146

Journal articles | 2006

Abel RJ; Bennett FE, 2006, 'The existence of (ν,6, λ)-perfect mendelsohn Designs with λ > 1', Designs Codes and Cryptography, 40, pp. 211 - 224, http://dx.doi.org/10.1007/s10623-006-0008-4

Journal articles | 2006

Abel RJ; Finizio NJ; Ge G; Greig M, 2006, 'New Z-cyclic triplewhist frames and triplewhist tournament designs', Discrete Applied Mathematics, 154, pp. 1649 - 1673

Journal articles | 2005

Abel RJ; Bennett FE, 2005, 'Quintessential PBDs and PBDs with prime power block sizes >= 8', Journal of Combinatorial Designs, 13, pp. 239 - 267

Journal articles | 2005

Abel RJ; Ge G, 2005, 'Some difference matrix constructions and an almost completion for the existence of triple whist tournaments TWh(v)', European Journal of Combinatorics, 26, pp. 1094 - 1104

Journal articles | 2004

Abel RJ; Bluskov I; Greig M, 2004, 'Balanced incomplete block designs with block size 9: Part III', Australasian Journal of Combinatorics, 30, pp. 57 - 73

Journal articles | 2004

Abel RJ; Bluskov I; Greig M, 2004, 'Balanced incomplete block designs with block size 9: part II', Discrete Mathematics, 279, pp. 5 - 32

Journal articles | 2004

Abel RJ; Buratti M, 2004, 'Some progress on (v,4,1) difference families and optical orthogonal codes', Journal of Combinatorial Theory Series A, 106, pp. 59 - 75

Journal articles | 2004

Abel RJ; Colbourn C; Wojtas M, 2004, 'Concerning seven and eight mutually orthogonal Latin squares', Journal of Combinatorial Designs, 12, pp. 123 - 131

Journal articles | 2004

Abel RJ; Combe D; Palmer WD, 2004, 'Bhaskar Rao designs and the groups of order 12', Australasian Journal of Combinatorics, 29, pp. 301 - 308

Journal articles | 2004

Abel RJ; Combe D; Palmer WD, 2004, 'Generalized Bhaskar Rao designs and dihedral groups', Journal of Combinatorial Theory Series A, 106, pp. 145 - 157

Journal articles | 2004

Abel RJ; Costa S; Finizio NJ, 2004, 'Directed-ordered whist tournaments and (v,5,1) difference families: existence results and some new classes of Z-cyclic solutions', Discrete Applied Mathematics, 143, pp. 43 - 53

Journal articles | 2003

Abel RJ; Greig M; Rees DH, 2003, 'Existence of OBIBDs with k=4 with and without nesting', Discrete Mathematics, 266, pp. 3 - 36

Journal articles | 2003

Abel RJR; Du B, 2003, 'The existence of three idempotent IMOLS', Discrete Mathematics, 262, pp. 1 - 16, http://dx.doi.org/10.1016/S0012-365X(02)00517-4

Journal articles | 2003

Abel RJR; Du B, 2003, 'The existence of three idempotent IMOLS', Discrete Mathematics, 262, pp. 1 - 16, http://dx.doi.org/10.1016/S0012-365X(02)00517-4

Journal articles | 2003

Abel RJR; Finizio NJ; Greig M; Lewis SJ, 2003, 'Generalized whist tournament designs', Discrete Mathematics, 268, pp. 1 - 19, http://dx.doi.org/10.1016/S0012-365X(02)00743-4

Journal articles | 2003

Abel RJR; Finizio NJ; Greig M; Lewis SJ, 2003, 'Generalized whist tournament designs', Discrete Mathematics, 268, pp. 1 - 19, http://dx.doi.org/10.1016/S0012-365X(02)00743-4

Journal articles | 2003

Abel RJR; Finizio NJ; Greig M, 2003, '(3,6) GWhD(v)-existence results', Discrete Mathematics, 261, pp. 3 - 26, http://dx.doi.org/10.1016/S0012-365X(02)00457-0

Journal articles | 2003

Abel RJR; Greig M; Rees DH, 2003, 'Existence of OBIBDs with k=4 with and without nesting', Discrete Mathematics, 266, pp. 3 - 36, http://dx.doi.org/10.1016/S0012-365X(02)00795-1

Journal articles | 2002

Abel RJ; Bennett FE; Ge G; Zhu L, 2002, 'Existence of Steiner seven-cycle systems', Discrete Mathematics, 252, pp. 1 - 16

Journal articles | 2002

Abel RJ; Bennett FE; Ge G, 2002, 'The existence of four HMOLS with equal sized holes', Designs Codes and Cryptography, 26, pp. 7 - 31

Journal articles | 2002

Abel RJ; Bluskov I; Greig M, 2002, 'Balanced incomplete block designs with block size 9 and lambda = 2, 4, 8', Designs Codes and Cryptography, 26, pp. 33 - 59

Journal articles | 2002

Abel RJR; Bennett FE; Ge G, 2002, 'Almost resolvable perfect Mendelsohn designs with block size five', Discrete Applied Mathematics, 116, pp. 1 - 15, http://dx.doi.org/10.1016/S0166-218X(00)00381-4

Journal articles | 2002

Abel RJR; Bennett FE; Ge G, 2002, 'Resolvable perfect Mendelsohn designs with block size five', Discrete Mathematics, 247, pp. 1 - 12, http://dx.doi.org/10.1016/S0012-365X(01)00157-1

Journal articles | 2001

Abel RJ; Bennett FE; Zhang H; Zhu L, 2001, 'Steiner pentagon covering designs', Discrete Mathematics, pp. 11 - 26

Journal articles | 2001

Abel RJ; Bluskov I; Greig M, 2001, 'Balanced incomplete block designs with block size 8', Journal of Combinatorial Designs, pp. 233 - 268

Journal articles | 2001

Abel RJ; Buratti M; Greig M; Miao Y, 2001, 'Constructions for rotational near resolvable block designs', Journal of Combinatorial Designs, 9, pp. 157 - 181, http://dx.doi.org/10.1002/jcd.1005

Journal articles | 2001

Abel RJ; Finizio NJ; Greig M; Lewis SJ, 2001, 'Pitch tournament designs and other BIBDs -- Existence results for the case v=8n', Journal of Combinatorial Designs, pp. 334 - 356

Journal articles | 2001

Abel RJ; Ge G; Greig M; Zhu L, 2001, 'Resolvable balanced incomplete block designs with block size 5', Journal of Statistical Planning and Inference, pp. 49 - 65

Journal articles | 2001

Abel RJ; Greig M; Miao Y; Zhu L, 2001, 'Resolvable BIBDs with block size 7 and index 6', Discrete Mathematics, 226, pp. 1 - 20

Journal articles | 2001

Ge G; Abel RJ, 2001, 'Some new HSOLSSOMs of types hn and 1m u1', Journal of Combinatorial Designs, pp. 435 - 444

Journal articles | 2000

Abel RJ; Bennett FE; Zhang H; Zhu L, 2000, 'A few more incomplete sefl-orthogonal Latin squares related designs', Australasian Journal of Combinatorics, pp. 85 - 94

Journal articles | 2000

Abel RJ; Bennett FE; Zhang H, 2000, 'Perfect Mendelsohn designs with block size six', Journal of Statistical Planning and Inference, pp. 287 - 319

Journal articles | 2000

Abel RJ; Ling AC, 2000, 'Some new direct constructions for (v,{5,w*},1) PBDs', Journal of Combinatorial Mathematics and Combinatorial Computing, pp. 97 - 102

Journal articles | 2000

Abel RJ, 2000, 'Some new BIBDs with block size 7', Journal of Combinatorial Designs, pp. 146 - 150

Journal articles | 2000

Abel RJR; Bennett FE; Zhang H; Zhu L, 2000, 'Existence of HSOLSSOMs with types hn and 1nu1', Ars Combinatoria, 55, pp. 97 - 115

Journal articles | 1999

Abel RJ; Bennett FE; Zhang H, 1999, 'Holey Steiner pentagon system', Journal of Combinatorial Designs, 7, pp. 41 - 56

Journal articles | 1999

Abel RJ; Finizio NJ; Greig M; Lewis SS, 1999, 'Pitch tournament designs and other BIBDs-existence results for the case v = 8n + 1', Congressus Numerantium, 138, pp. 175 - 192

Journal articles | 1998

Abel RJ; Bennett FE, 1998, 'The existence of perfect Mendelsohn designs with block size 7', Discrete Mathematics, 190, pp. 1 - 14

Journal articles | 1998

Abel RJ; Greig M, 1998, 'Balanced incomplete block designs with block size 7', Designs Codes and Cryptography, 13, pp. 5 - 30

Journal articles | 1998

Abel RJ; Zhang H, 1998, 'Direct constructions for certain types of HMOLS', Discrete Mathematics, 181, pp. 1 - 17

Journal articles | 1998

Bennett FE; Yin JJ; Zhang H; Abel RJ, 1998, 'Perfect Mendelsohn packing designs with block size five', Designs Codes and Cryptography, 14, pp. 5 - 22

Journal articles | 1997

Abel RJ; Colbourn C; Yin JJ; Zhang H, 1997, 'Existence of incomplete transversal designs with block size 5 and any index lambda', Designs Codes and Cryptography, 10, pp. 275 - 307

Journal articles | 1997

Abel RJ; Greig M, 1997, 'Some new RBIBDs with block size 5 and PBDs with block sizes equiv 1 mod 5', Australasian Journal of Combinatorics, 15, pp. 177 - 202

Journal articles | 1997

Greig M; Abel RJ, 1997, 'Resolvable balanced incomplete block designs with block size 8', Designs Codes and Cryptography, 11, pp. 123 - 140

Journal articles | 1997

Mullin RC; Ling ACH; Abel RJR; Bennett FE, 1997, 'On the closure of subsets of {4,5,...,9} which contain {4}', Ars Combinatoria, 45, pp. 33 - 76

Journal articles | 1997

Yin JJ; Ling AC; Colburn CJ; Abel RJ, 1997, 'The existence of uniform 5-GDDs', Journal of Combinatorial Designs, 5, pp. 275 - 299

Journal articles | 1996

Abel J, 1996, 'Some new BIBDs with k = 1 and 6', Journal of Combinatorial Designs, pp. 27 - 50

Journal articles | 1996

Abel RJ; Zanx ; Zanh , 1996, 'Three mutually orthogonal idempotent MOLS of orders 22 and 26', Journal of Statistical Planning and Inference, pp. 101 - 106

Journal articles | 1995

Abel J; Mills WH, 1995, 'Some new BIBDs with k = 6 and lambda =1', Journal of Combinatorial Designs, pp. 381 - 391

Journal articles | 1995

Abel RJR; Mills WH, 1995, 'Some new bibds with k = 6 and λ = 1', Journal of Combinatorial Designs, 3, pp. 381 - 391, http://dx.doi.org/10.1002/jcd.3180030508
Conference Papers | 2004

Abel RJ; Combe D; Palmer WD, 2004, 'GBRDs with k=3 over dicyclic groups and with k=4 over the elementary abelian groups EA(g)*', in 15th Australasian Workshop on Combinatorial Algorithms, Ballina, NSW, Australia, presented at 15th Australasian Workshop on Combinatorial Algorithms, Ballina, NSW, Australia, 06 July 2004 - 09 July 2004

Conference Papers | 1996

Abel J; Zhang H; Zhang X, 1996, 'Three mutually orthogonal idempotent MOLS of orders 22 and 26', in Journal of Statistical Planning and Inference, Elsevier Science BV, Amsterdam, Netherlands, presented at Shanghai Conference on Designs, Codes and Finite Geometrics, Shanghai

Follow

Honorary Lecturer Dr Julian Abel