Nicholas J. Cavenagh

Publication Activity (10 Years)

Years Active: 1998-2023
Publications (10 Years): 17

Top Topics

Firing Squad Synchronization

Finite Alphabet

Bipartite Graph

Top Venues

Electron. J. Comb.

Ars Math. Contemp.

Publications

Fahim Rahim, Nicholas J. Cavenagh
Mutually orthogonal frequency rectangles. Discret. Math. 346 (12) (2023)
Andrea C. Burgess, Nicholas J. Cavenagh, David A. Pike
Mutually orthogonal cycle systems. Ars Math. Contemp. 23 (2) (2022)
Nicholas J. Cavenagh, Adam Mammoliti, Ian M. Wanless
Maximal sets of mutually orthogonal frequency squares. Des. Codes Cryptogr. 89 (3) (2021)
Kevin Burrage, Diane M. Donovan, Nicholas J. Cavenagh, Emine Sule Yazici
Globally simple Heffter arrays H(n;k) when k≡0, 3(mod4). Discret. Math. 343 (5) (2020)
Thomas Britz, Nicholas J. Cavenagh, Adam Mammoliti, Ian M. Wanless
Mutually Orthogonal Binary Frequency Squares. Electron. J. Comb. 27 (3) (2020)
Nicholas J. Cavenagh, Jeffery H. Dinitz, Diane M. Donovan, Emine Sule Yazici
The existence of square non-integer Heffter arrays. Ars Math. Contemp. 17 (2) (2019)
Nicholas J. Cavenagh, Adam Mammoliti
Balanced diagonals in frequency squares. Discret. Math. 341 (8) (2018)
Nicholas J. Cavenagh
Lower Bounds on the Sizes of Defining Sets in Full n-Latin Squares and Full Designs. Graphs Comb. 34 (4) (2018)
Nicholas J. Cavenagh, Ian M. Wanless
Latin Squares with No Transversals. Electron. J. Comb. 24 (2) (2017)
Nicholas J. Cavenagh, Terry S. Griggs
Subcubic trades in Steiner triple systems. Discret. Math. 340 (6) (2017)
Nicholas J. Cavenagh, Diane M. Donovan, Fatih Demirkale
Orthogonal Trades in Complete Sets of MOLS. Electron. J. Comb. 24 (3) (2017)
Reshma Ramadurai, Nicholas J. Cavenagh
On the distances between Latin squares and the smallest defining set size. Electron. Notes Discret. Math. 54 (2016)
Nicholas J. Cavenagh, Vaipuna Raass
Critical Sets of Full n-Latin Squares. Graphs Comb. 32 (2) (2016)
Thomas Britz, Nicholas J. Cavenagh, Henrik Kragh Sørensen
Maximal Partial Latin Cubes. Electron. J. Comb. 22 (1) (2015)
Nicholas J. Cavenagh
Decomposing Dense Bipartite Graphs into 4-Cycles. Electron. J. Comb. 22 (1) (2015)
Darryn E. Bryant, Nicholas J. Cavenagh
Decomposing Graphs of High Minimum Degree into 4-Cycles. J. Graph Theory 79 (3) (2015)
Nicholas J. Cavenagh, Jaromy Kuhl
On the chromatic index of Latin squares. Contributions Discret. Math. 10 (2) (2015)
R. Julian R. Abel, Nicholas J. Cavenagh, Jaromy Kuhl
Induced Subarrays of Latin Squares Without Repeated Symbols. Electron. J. Comb. 20 (1) (2013)
Benjamin R. Smith, Nicholas J. Cavenagh
Decomposing complete equipartite graphs into odd square-length cycles: Number of parts even. Discret. Math. 312 (10) (2012)
Elizabeth J. Billington, Nicholas J. Cavenagh, Abdollah Khodkar
Complete sets of metamorphoses: Twofold 4-cycle systems into twofold 6-cycle systems. Discret. Math. 312 (16) (2012)
Diane M. Donovan, James G. Lefevre, Thomas A. McCourt, Nicholas J. Cavenagh, Abdollah Khodkar
Identifying flaws in the security of critical sets in latin squares via triangulations. Australas. J Comb. 52 (2012)
Darryn E. Bryant, Nicholas J. Cavenagh, Barbara M. Maenhaut, Kyle Pula, Ian M. Wanless
Nonextendible Latin Cuboids. SIAM J. Discret. Math. 26 (1) (2012)
Nicholas J. Cavenagh, Carlo Hämäläinen, James G. Lefevre, Douglas S. Stones
Multi-latin squares. Discret. Math. 311 (13) (2011)
Elizabeth J. Billington, Nicholas J. Cavenagh, Benjamin R. Smith
Path and cycle decompositions of complete equipartite graphs: 3 and 5 parts. Discret. Math. 310 (2) (2010)
Benjamin R. Smith, Nicholas J. Cavenagh
Decomposing Complete Equipartite Graphs into Short Odd Cycles. Electron. J. Comb. 17 (1) (2010)
Nicholas J. Cavenagh
Avoidable Partial Latin Squares Of Order 4m+1. Ars Comb. 95 (2010)
Nicholas J. Cavenagh, Ian M. Wanless
On the number of transversals in Cayley tables of cyclic groups. Discret. Appl. Math. 158 (2) (2010)
Nicholas J. Cavenagh, Carlo Hämäläinen, Adrian M. Nelson
On completing three cyclically generated transversals to a latin square. Finite Fields Their Appl. 15 (3) (2009)
Elizabeth J. Billington, Nicholas J. Cavenagh, Benjamin R. Smith
Path and cycle decompositions of complete equipartite graphs: Four parts. Discret. Math. 309 (10) (2009)
Nicholas J. Cavenagh, Ales Drápal, Carlo Hämäläinen
Latin bitrades derived from groups. Discret. Math. 308 (24) (2008)
Nicholas J. Cavenagh, Catherine S. Greenhill, Ian M. Wanless
The cycle structure of two rows in a random Latin square. Random Struct. Algorithms 33 (3) (2008)
Nicholas J. Cavenagh, Diane M. Donovan, Emine Sule Yazici
Minimal homogeneous Steiner 2-(v, 3) trades. Discret. Math. 308 (5-6) (2008)
Elizabeth J. Billington, Nicholas J. Cavenagh
Sparse Graphs which Decompose into Closed Trails of Arbitrary Lengths. Graphs Comb. 24 (3) (2008)
Nicholas J. Cavenagh, Petr Lisonek
Planar Eulerian triangulations are equivalent to spherical Latin bitrades. J. Comb. Theory, Ser. A 115 (1) (2008)
Nicholas J. Cavenagh, Diane M. Donovan, Abdollah Khodkar, G. H. John van Rees
When is a partial Latin square uniquely completable, but not its completable product? Discret. Math. 308 (13) (2008)
Nicholas J. Cavenagh, Diane M. Donovan, Abdollah Khodkar
On The Spectrum Of Critical Sets In Back Circulant Latin Squares. Ars Comb. 82 (2007)
Nicholas J. Cavenagh
A lower bound for the size of a critical set in the back circulant latin square. Australas. J Comb. 36 (2006)
Nicholas J. Cavenagh, Diane M. Donovan, Emine Sule Yazici
Minimal homogeneous latin trades. Discret. Math. 306 (17) (2006)
Nicholas J. Cavenagh, Diana Combe, Adrian M. Nelson
Edge-Magic Group Labellings of Countable Graphs. Electron. J. Comb. 13 (1) (2006)
Nicholas J. Cavenagh, Diane M. Donovan, Ales Drápal
3-Homogeneous latin trades. Discret. Math. 300 (1-3) (2005)
Nicholas J. Cavenagh, Diane M. Donovan, Ales Drápal
4-homogeneous latin trades. Australas. J Comb. 32 (2005)
Nicholas J. Cavenagh, Diane M. Donovan, Ales Drápal
Constructing and deconstructing latin trades. Discret. Math. 284 (1-3) (2004)
Nicholas J. Cavenagh, Saad I. El-Zanati, Abdollah Khodkar, Charles Vanden Eynden
On a generalization of the Oberwolfach problem. J. Comb. Theory, Ser. A 106 (2) (2004)
Nicholas J. Cavenagh
Latin Trade Algorithms and the Smallest Critical Set in a Latin Square. J. Autom. Lang. Comb. 8 (4) (2003)
Nicholas J. Cavenagh
Further decompositions of complete tripartite graphs into 5-cycles. Discret. Math. 256 (1-2) (2002)
Nicholas J. Cavenagh
A new bound on the size of the largest 2-critical set in a latin square. Australas. J Comb. 26 (2002)
Nicholas J. Cavenagh, Elizabeth J. Billington
On decomposing complete tripartite graphs into 5-cycles. Australas. J Comb. 22 (2000)
Nicholas J. Cavenagh, Elizabeth J. Billington
Decompositions of Complete Multipartite Graphs into Cycles of Even Length. Graphs Comb. 16 (1) (2000)
Nicholas J. Cavenagh
Decompositions of complete tripartite graphs into k-cycles. Australas. J Comb. 18 (1998)