Mutually orthogonal frequency rectangles - Fahim Rahim; Nicholas J. Cavenagh (Discret. Math., 2023)

Mutually orthogonal cycle systems - Andrea C. Burgess; Nicholas J. Cavenagh; David A. Pike (Ars Math. Contemp., 2022)

Maximal sets of mutually orthogonal frequency squares - Nicholas J. Cavenagh; Adam Mammoliti; Ian M. Wanless (Des. Codes Cryptogr., 2021)

Mutually Orthogonal Binary Frequency Squares - Thomas Britz; Nicholas J. Cavenagh; Adam Mammoliti; Ian M. Wanless (Electron. J. Comb., 2020)

Globally simple Heffter arrays H(n;k) when k\(\)0, 3(mod4) - Kevin Burrage; Diane M. Donovan; Nicholas J. Cavenagh; Emine Sule Yazici (Discret. Math., 2020)

The existence of square non-integer Heffter arrays - Nicholas J. Cavenagh; Jeffery H. Dinitz; Diane M. Donovan; Emine Sule Yazici (Ars Math. Contemp., 2019)

Balanced diagonals in frequency squares - Nicholas J. Cavenagh; Adam Mammoliti (Discret. Math., 2018)

Lower Bounds on the Sizes of Defining Sets in Full n-Latin Squares and Full Designs - Nicholas J. Cavenagh (Graphs Comb., 2018)

Latin Squares with No Transversals - Nicholas J. Cavenagh; Ian M. Wanless (Electron. J. Comb., 2017)

Orthogonal Trades in Complete Sets of MOLS - Nicholas J. Cavenagh; Diane M. Donovan; Fatih Demirkale (Electron. J. Comb., 2017)

Subcubic trades in Steiner triple systems - Nicholas J. Cavenagh; Terry S. Griggs (Discret. Math., 2017)

On the distances between Latin squares and the smallest defining set size - Reshma Ramadurai; Nicholas J. Cavenagh (Electron. Notes Discret. Math., 2016)

Critical Sets of Full n-Latin Squares - Nicholas J. Cavenagh; Vaipuna Raass (Graphs Comb., 2016)

On the chromatic index of Latin squares - Nicholas J. Cavenagh; Jaromy Kuhl (Contributions Discret. Math., 2015)

Maximal Partial Latin Cubes - Thomas Britz; Nicholas J. Cavenagh; Henrik Kragh Sørensen (Electron. J. Comb., 2015)

Decomposing Dense Bipartite Graphs into 4-Cycles - Nicholas J. Cavenagh (Electron. J. Comb., 2015)

Decomposing Graphs of High Minimum Degree into 4-Cycles - Darryn E. Bryant; Nicholas J. Cavenagh (J. Graph Theory, 2015)

Induced Subarrays of Latin Squares Without Repeated Symbols - R. Julian R. Abel; Nicholas J. Cavenagh; Jaromy Kuhl (Electron. J. Comb., 2013)

Identifying flaws in the security of critical sets in latin squares via triangulations - Diane M. Donovan; James G. Lefevre; Thomas A. McCourt; Nicholas J. Cavenagh; Abdollah Khodkar (Australas. J Comb., 2012)

Decomposing complete equipartite graphs into odd square-length cycles: Number of parts even - Benjamin R. Smith; Nicholas J. Cavenagh (Discret. Math., 2012)

Complete sets of metamorphoses: Twofold 4-cycle systems into twofold 6-cycle systems - Elizabeth J. Billington; Nicholas J. Cavenagh; Abdollah Khodkar (Discret. Math., 2012)

Nonextendible Latin Cuboids - Darryn E. Bryant; Nicholas J. Cavenagh; Barbara M. Maenhaut; Kyle Pula; Ian M. Wanless (SIAM J. Discret. Math., 2012)

Multi-latin squares - Nicholas J. Cavenagh; Carlo Hämäläinen; James G. Lefevre; Douglas S. Stones (Discret. Math., 2011)

Avoidable Partial Latin Squares Of Order 4m+1 - Nicholas J. Cavenagh (Ars Comb., 2010)

Decomposing Complete Equipartite Graphs into Short Odd Cycles - Benjamin R. Smith; Nicholas J. Cavenagh (Electron. J. Comb., 2010)

On the number of transversals in Cayley tables of cyclic groups - Nicholas J. Cavenagh; Ian M. Wanless (Discret. Appl. Math., 2010)

Path and cycle decompositions of complete equipartite graphs: 3 and 5 parts - Elizabeth J. Billington; Nicholas J. Cavenagh; Benjamin R. Smith (Discret. Math., 2010)

Path and cycle decompositions of complete equipartite graphs: Four parts - Elizabeth J. Billington; Nicholas J. Cavenagh; Benjamin R. Smith (Discret. Math., 2009)

On completing three cyclically generated transversals to a latin square - Nicholas J. Cavenagh; Carlo Hämäläinen; Adrian M. Nelson (Finite Fields Their Appl., 2009)

Minimal homogeneous Steiner 2-(v, 3) trades - Nicholas J. Cavenagh; Diane M. Donovan; Emine Sule Yazici (Discret. Math., 2008)

When is a partial Latin square uniquely completable, but not its completable product? - Nicholas J. Cavenagh; Diane M. Donovan; Abdollah Khodkar; G. H. John van Rees (Discret. Math., 2008)

Latin bitrades derived from groups - Nicholas J. Cavenagh; Ales Drápal; Carlo Hämäläinen (Discret. Math., 2008)

Sparse Graphs which Decompose into Closed Trails of Arbitrary Lengths - Elizabeth J. Billington; Nicholas J. Cavenagh (Graphs Comb., 2008)

Planar Eulerian triangulations are equivalent to spherical Latin bitrades - Nicholas J. Cavenagh; Petr Lisonek (J. Comb. Theory A, 2008)

The cycle structure of two rows in a random Latin square - Nicholas J. Cavenagh; Catherine S. Greenhill; Ian M. Wanless (Random Struct. Algorithms, 2008)

On The Spectrum Of Critical Sets In Back Circulant Latin Squares - Nicholas J. Cavenagh; Diane M. Donovan; Abdollah Khodkar (Ars Comb., 2007)

A lower bound for the size of a critical set in the back circulant latin square - Nicholas J. Cavenagh (Australas. J Comb., 2006)

Edge-Magic Group Labellings of Countable Graphs - Nicholas J. Cavenagh; Diana Combe; Adrian M. Nelson (Electron. J. Comb., 2006)

Minimal homogeneous latin trades - Nicholas J. Cavenagh; Diane M. Donovan; Emine Sule Yazici (Discret. Math., 2006)

4-homogeneous latin trades - Nicholas J. Cavenagh; Diane M. Donovan; Ales Drápal (Australas. J Comb., 2005)

3-Homogeneous latin trades - Nicholas J. Cavenagh; Diane M. Donovan; Ales Drápal (Discret. Math., 2005)

Constructing and deconstructing latin trades - Nicholas J. Cavenagh; Diane M. Donovan; Ales Drápal (Discret. Math., 2004)

On a generalization of the Oberwolfach problem - Nicholas J. Cavenagh; Saad I. El-Zanati; Abdollah Khodkar; Charles Vanden Eynden (J. Comb. Theory A, 2004)

Latin Trade Algorithms and the Smallest Critical Set in a Latin Square - Nicholas J. Cavenagh (J. Autom. Lang. Comb., 2003)

A new bound on the size of the largest 2-critical set in a latin square - Nicholas J. Cavenagh (Australas. J Comb., 2002)

Further decompositions of complete tripartite graphs into 5-cycles - Nicholas J. Cavenagh (Discret. Math., 2002)

On decomposing complete tripartite graphs into 5-cycles - Nicholas J. Cavenagh; Elizabeth J. Billington (Australas. J Comb., 2000)

Decompositions of Complete Multipartite Graphs into Cycles of Even Length - Nicholas J. Cavenagh; Elizabeth J. Billington (Graphs Comb., 2000)

Decompositions of complete tripartite graphs into k-cycles - Nicholas J. Cavenagh (Australas. J Comb., 1998)