R. Julian R. Abel

According to our database, R. Julian R. Abel authored at least 75 papers between 1991 and 2025.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2025

Group divisible designs with block size 4 and group sizes 4 and 10 and some other 4-GDDs.

Changyuan Wang, R. Julian R. Abel, Thomas Britz, Yudhistira A. Bunjamin, Diana Combe

Discret. Math., 2025

2024

Constructions of optimal multiply constant-weight codes MCWC$ (3, n_1;1, n_2;1, n_3;8)s $.

Liying Pan, R. Julian R. Abel, Jinhua Wang

Adv. Math. Commun., 2024

2023

Group divisible designs with block size 4 where the group sizes are congruent to 1 mod 3.

R. Julian R. Abel, Thomas Britz, Yudhistira A. Bunjamin, Diana Combe, Tao Feng

Discret. Math., April, 2023

2022

4²-Decomposable super-simple (<i>v</i>, 4, 8)-BIBDs.

Jingyuan Chen, Huangsheng Yu, R. Julian R. Abel, Dianhua Wu

Discret. Math., 2022

The 4-GDDs of type 3⁵6².

R. Julian R. Abel, Yudhistira A. Bunjamin, Diana Combe

Discret. Math., 2022

Group divisible designs with block size 4 where the group sizes are congruent to 2 mod 3.

R. Julian R. Abel, Thomas Britz, Yudhistira A. Bunjamin, Diana Combe

Discret. Math., 2022

Difference matrices with five rows over finite abelian groups.

Rong Pan, R. Julian R. Abel, Yudhistira A. Bunjamin, Tao Feng, Tiana J. Tsang Ung, Xiaomiao Wang

Des. Codes Cryptogr., 2022

2021

Existence of 4-GDDs with at most 50 points and 4-GDDs of types 6^<i>s</i>3^<i>t</i> and 9^<i>s</i>3^<i>t</i>.

R. Julian R. Abel, Yudhistira A. Bunjamin, Diana Combe

Discret. Math., 2021

2020

Existence of incomplete canonical Kirkman covering designs.

Jiahao Tang, R. Julian R. Abel, Jinhua Wang

Discret. Math., 2020

2018

Existence of incomplete canonical Kirkman packing designs.

Lingye Wang, R. Julian R. Abel, Dameng Deng, Jinhua Wang

Discret. Math., 2018

2017

Block designs signed over groups of order 2ⁿ3^m.

R. Julian R. Abel, Diana Combe, Adrian M. Nelson, William D. Palmer

Discret. Math., 2017

Existence of near resolvable (v, k, k-1) BIBDs with k∈{9, 12, 16}.

R. Julian R. Abel

Australas. J Comb., 2017

2016

On generalized Howell designs with block size three.

R. Julian R. Abel, Robert F. Bailey, Andrea C. Burgess, Peter Danziger, Eric Mendelsohn

Des. Codes Cryptogr., 2016

2015

Some new resolvable GDDs with k=4 and doubly resolvable GDDs with k=3.

Juan Du, R. Julian R. Abel, Jinhua Wang

Discret. Math., 2015

Some constructions for t pairwise orthogonal diagonal Latin squares based on difference matrices.

R. Julian R. Abel, Yang Li

Discret. Math., 2015

2014

Existence of HSOLSSOMs of type 4ⁿu¹.

R. Julian R. Abel, Frank E. Bennett

Australas. J Comb., 2014

2013

GBRDs over supersolvable groups and solvable groups of order prime to 3.

R. Julian R. Abel, Diana Combe, Adrian M. Nelson, William D. Palmer

Des. Codes Cryptogr., 2013

Induced Subarrays of Latin Squares Without Repeated Symbols.

R. Julian R. Abel, Nicholas J. Cavenagh, Jaromy Kuhl

Electron. J. Comb., 2013

2012

Super-Simple Twofold Steiner Pentagon Systems.

R. Julian R. Abel, Frank E. Bennett

Graphs Comb., 2012

Existence of 2 SOLS and 2 ISOLS.

R. Julian R. Abel, Frank E. Bennett

Discret. Math., 2012

GBRDs with block size 3 over odd order groups and groups of orders divisible by 2 but not 4.

R. Julian R. Abel, Diana Combe, Adrian M. Nelson, William D. Palmer

Australas. J Comb., 2012

2011

Existence of GBRDs with block size 4 and BRDs with block size 5.

R. Julian R. Abel, Nigel H. N. Chan, Diana Combe, William D. Palmer

Des. Codes Cryptogr., 2011

Necessary conditions for the existence of two classes of ZCPS-Wh(v).

R. Julian R. Abel, Ian Anderson, Norman J. Finizio

Discret. Appl. Math., 2011

GBRDs with Block Size Three over 2-Groups, Semi-Dihedral Groups and Nilpotent Groups.

R. Julian R. Abel, Diana Combe, Adrian M. Nelson, William D. Palmer

Electron. J. Comb., 2011

2010

GBRDs over groups of orders <=100 or of order pq with p, q primes.

R. Julian R. Abel, Diana Combe, Adrian M. Nelson, William D. Palmer

Discret. Math., 2010

Super-simple, pan-orientable and pan-decomposable GDDs with block size 4.

R. Julian R. Abel, Frank E. Bennett

Discret. Math., 2010

Existence of directed BIBDs with block size 7 and related perfect 5-deletion-correcting codes of length 7.

R. Julian R. Abel, Frank E. Bennett

Des. Codes Cryptogr., 2010

Existence of doubly near resolvable (v, 4, 3) BIBDs.

R. Julian R. Abel, Nigel H. N. Chan

Australas. J Comb., 2010

2009

Super-simple, Pan-orientable, and Pan-decomposable BIBDs with Block Size 4 and Related Structures.

R. Julian R. Abel, Frank E. Bennett, M. Grüttmüller

Graphs Comb., 2009

Further results on (v, {5, w^*}, 1)-PBDs.

R. Julian R. Abel, Gennian Ge, Malcolm Greig, Alan C. H. Ling

Discret. Math., 2009

Existence of generalized Bhaskar Rao designs with block size 3.

R. Julian R. Abel, Diana Combe, Georgina Price, William D. Palmer

Discret. Math., 2009

Existence of (2, 8) GWhD( <i>v</i> ) and (4, 8) GWhD( <i>v</i> ) with <i>v</i> .0, 1 (<i>mod</i> 8){v \equiv 0, 1 (mod 8)}.

R. Julian R. Abel, Norman J. Finizio, Malcolm Greig, Luis B. Morales

Des. Codes Cryptogr., 2009

2008

A few more Kirkman squares and doubly near resolvable BIBDs with block size 3.

R. Julian R. Abel, Esther R. Lamken, Jinhua Wang

Discret. Math., 2008

Existence of HSOLSSOMs of type 2ⁿu¹.

R. Julian R. Abel, Frank E. Bennett, Hantao Zhang

Discret. Math., 2008

Modified group divisible designs with block size 5 and even index.

R. Julian R. Abel, Ahmed M. Assaf

Discret. Math., 2008

Existence of directed triplewhist tournaments with the three person property 3PDTWh(v).

R. Julian R. Abel, Frank E. Bennett, Gennian Ge

Discret. Appl. Math., 2008

Super-simple Steiner pentagon systems.

R. Julian R. Abel, Frank E. Bennett

Discret. Appl. Math., 2008

Some V(12, t) vectors and designs from difference and quasi-difference matrices.

R. Julian R. Abel

Australas. J Comb., 2008

2007

Pair covering designs with block size 5.

R. Julian R. Abel, Ahmed M. Assaf, Frank E. Bennett, Iliya Bluskov, Malcolm Greig

Discret. Math., 2007

Some new near resolvable BIBDs with k=7 and resolvable BIBDs with k=5.

R. Julian R. Abel

Australas. J Comb., 2007

2006

The Existence of (<i>nu</i>, 6, lambda)-Perfect Mendelsohn Designs with lambda > 1.

R. Julian R. Abel, Frank E. Bennett

Des. Codes Cryptogr., 2006

New Z-cyclic triplewhist frames and triplewhist tournament designs.

R. Julian R. Abel, Norman J. Finizio, Gennian Ge, Malcolm Greig

Discret. Appl. Math., 2006

2005

Some difference matrix constructions and an almost completion for the existence of triplewhist tournaments TWh(upsilon).

R. Julian R. Abel, Gennian Ge

Eur. J. Comb., 2005

2004

Generalized Bhaskar Rao designs and dihedral groups.

R. Julian R. Abel, Diana Combe, William D. Palmer

J. Comb. Theory A, 2004

Some progress on (v, 4, 1) difference families and optical orthogonal codes.

R. Julian R. Abel, Marco Buratti

J. Comb. Theory A, 2004

Balanced incomplete block designs with block size 9: part II.

R. Julian R. Abel, Iliya Bluskov, Malcolm Greig

Discret. Math., 2004

Directed-ordered whist tournaments and (<i>v</i>, 5, 1) difference families: existence results and some new classes of <i>Z</i>-cyclic solutions.

R. Julian R. Abel, Stephanie Costa, Norman J. Finizio

Discret. Appl. Math., 2004

Bhaskar Rao designs and the groups of order 12.

R. Julian R. Abel, Diana Combe, William D. Palmer

Australas. J Comb., 2004

Balanced incomplete block designs with block size~9: Part III.

R. Julian R. Abel, Iliya Bluskov, Malcolm Greig

Australas. J Comb., 2004

2003

Existence of OBIBDs with <i>k</i>=4 with and without nesting.

R. Julian R. Abel, Malcolm Greig, David H. Rees

Discret. Math., 2003

Generalized whist tournament designs.

R. Julian R. Abel, Norman J. Finizio, Malcolm Greig, Scott J. Lewis

Discret. Math., 2003

(3, 6) GWhD(<i>v</i>)-existence results.

R. Julian R. Abel, Norman J. Finizio, Malcolm Greig

Discret. Math., 2003

The existence of three idempotent IMOLS.

R. Julian R. Abel, Beiliang Du

Discret. Math., 2003

2002

Existence of Steiner seven-cycle systems.

R. Julian R. Abel, Frank E. Bennett, Gennian Ge, Lie Zhu

Discret. Math., 2002

Resolvable perfect Mendelsohn designs with block size five.

R. Julian R. Abel, Frank E. Bennett, Gennian Ge

Discret. Math., 2002

Modified group divisible designs with block size 5 and lambda=1.

R. Julian R. Abel, Ahmed M. Assaf

Discret. Math., 2002

Balanced Incomplete Block Designs with Block Size 9 and lambda=2, 4, 8.

R. Julian R. Abel, Iliya Bluskov, Malcolm Greig

Des. Codes Cryptogr., 2002

The Existence of Four HMOLS with Equal Sized Holes.

R. Julian R. Abel, Frank E. Bennett, Gennian Ge

Des. Codes Cryptogr., 2002

Almost resolvable perfect Mendelsohn designs with block size five.

R. Julian R. Abel, Frank E. Bennett, Gennian Ge

Discret. Appl. Math., 2002

2001

Resolvable BIBDs with block size 7 and index 6.

R. Julian R. Abel, Malcolm Greig, Ying Miao, Lie Zhu

Discret. Math., 2001

Steiner pentagon covering designs.

R. Julian R. Abel, Frank E. Bennett, Hantao Zhang, Lie Zhu

Discret. Math., 2001

2000

Existence of HSOLSSOMs with type hⁿ and 1ⁿu¹.

R. Julian R. Abel, Frank E. Bennett, Hantao Zhang, Lie Zhu

Ars Comb., 2000

A few more incomplete self-orthogonal Latin squares and related designs.

R. Julian R. Abel, Frank E. Bennett, Hantao Zhang, Lie Zhu

Australas. J Comb., 2000

1998

Direct constructions for certain types of HMOLS.

R. Julian R. Abel, Hantao Zhang

Discret. Math., 1998

The existence of perfect Mendelsohn designs with block size 7.

R. Julian R. Abel, Frank E. Bennett

Discret. Math., 1998

Perfect Mendelsohn Packing Designs with Block Size Five.

Frank E. Bennett, Jianxing Yin, Hantao Zhang, R. Julian R. Abel

Des. Codes Cryptogr., 1998

Balanced Incomplete Block Designs with Block Size 7.

R. Julian R. Abel, Malcolm Greig

Des. Codes Cryptogr., 1998

1997

Resolvable Balanced Incomplete Block Designs with Block Size 8.

Malcolm Greig, R. Julian R. Abel

Des. Codes Cryptogr., 1997

Existence of Incomplete Transversal Designs with Block Size Five and Any Index lambda.

R. Julian R. Abel, Charles J. Colbourn, Jianxing Yin, Hantao Zhang

Des. Codes Cryptogr., 1997

On the Closure of Subsets of {4, 5, ..., 9} which contain {4}.

Ronald C. Mullin, Alan C. H. Ling, R. Julian R. Abel, Frank E. Bennett

Ars Comb., 1997

Some new RBIBDs with block size 5 and PBDs with block sizes ≡1 mod 5.

R. Julian R. Abel, Malcolm Greig

Australas. J Comb., 1997

1994

Forty-Three Balanced Incomplete Block Designs.

R. Julian R. Abel

J. Comb. Theory A, 1994

Some new MOLS of order 2ⁿp for p a prime power.

R. Julian R. Abel, Y. W. Cheng

Australas. J Comb., 1994

1993

Four MOLS of Orders 20, 30, 38, and 44.

R. Julian R. Abel, D. T. Todorov

J. Comb. Theory A, 1993

1991

Four mutually orthogonal Latin squares of orders 28 and 52.

R. Julian R. Abel

J. Comb. Theory A, 1991