Ian T. Roberts

Publication Activity (10 Years)

Years Active: 1996-2023
Publications (10 Years): 7

Top Topics

Positive And Negative Examples

Minimum Spanning Tree

Greedy Heuristic

Top Venues

Australas. J Comb.

Electron. J. Comb.

Publications

Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz
Sizes of flat maximal antichains of subsets. CoRR (2023)
Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz
The Saturation Spectrum for Antichains of Subsets. Order 40 (3) (2023)
Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz
Maximal antichains of subsets II: Constructions. CoRR (2021)
Jerrold R. Griggs, Sven Hartmann, Thomas Kalinowski, Uwe Leck, Ian T. Roberts
Minimum Weight Flat Antichains of Subsets. Order 38 (3) (2021)
Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz
Maximal antichains of subsets I: The shadow spectrum. CoRR (2021)
Jerrold R. Griggs, Sven Hartmann, Thomas Kalinowski, Uwe Leck, Ian T. Roberts
Full and maximal squashed flat antichains of minimum weight. CoRR (2017)
Thomas Kalinowski, Uwe Leck, Christian Reiher, Ian T. Roberts
Minimizing the regularity of maximal regular antichains of 2- and 3-sets. Australas. J Comb. 64 (2016)
Martin Grüttmüller, Ian T. Roberts, Leanne J. Rylands
Antichains and completely separating systems - A catalogue and applications. Discret. Appl. Math. 163 (2014)
Uwe Leck, Ian T. Roberts
Inequalities for cross-unions of collections of finite sets. Eur. J. Comb. 35 (2014)
Thomas Kalinowski, Uwe Leck, Ian T. Roberts
Maximal Antichains of Minimum Size. Electron. J. Comb. 20 (2) (2013)
Ian T. Roberts, Matthias Böhm
On the existence of regular antichains. Discret. Math. 313 (4) (2013)
Ian T. Roberts, Sue D'Arcy, Hans-Dietrich O. F. Gronau
) or 11 ≤ k ≤ 12. Australas. J Comb. 55 (2013)
Uwe Leck, Ian T. Roberts, Jamie Simpson
Minimizing the weight of the union-closure of families of two-sets. Australas. J Comb. 52 (2012)
Uwe Leck, Ian T. Roberts
Minimizing the weight of the union-closure of uniform families of sets. Electron. Notes Discret. Math. 38 (2011)
Ian T. Roberts, Leanne J. Rylands, Terry Montag, Martin Grüttmüller
On the number of minimal completely separating systems and antichains in a Boolean lattice. Australas. J Comb. 48 (2010)
Ian T. Roberts, Jamie Simpson
A note on the union-closed sets conjecture. Australas. J Comb. 47 (2010)
Martin Grüttmüller, Sven Hartmann, Thomas Kalinowski, Uwe Leck, Ian T. Roberts
Maximal Flat Antichains of Minimum Weight. Electron. J. Comb. 16 (1) (2009)
Oudone Phanalasy, Ian T. Roberts, Leanne J. Rylands
Covering separating systems and an application to search theory. Australas. J Comb. 45 (2009)
Martin Grüttmüller, Ian T. Roberts, Sue D'Arcy, Judith Egan
The minimum number of blocks in pairwise balanced designs with maximum block size 4: the final cases. Australas. J Comb. 36 (2006)
Ian T. Roberts
Completely separating systems of k-sets for 7 ≤ k ≤ 10. Australas. J Comb. 33 (2005)
Ian T. Roberts, Leanne J. Rylands
Minimal (n) and (n, h, k) Completely Separating Systems. Australas. J Comb. 33 (2005)
Colin Ramsay, Ian T. Roberts, Frank Ruskey
Completely separating systems of k-sets. Discret. Math. 183 (1-3) (1998)
G. M. Hamilton, Ian T. Roberts, Douglas G. Rogers
Regular Perfect Systems of Sets of Iterated Differences. Eur. J. Comb. 19 (1) (1998)
Colin Ramsay, Ian T. Roberts
Minimal completely separating systems of sets. Australas. J Comb. 13 (1996)
G. M. Hamilton, Colin Ramsay, Ian T. Roberts, Douglas G. Rogers
. Discret. Math. 162 (1-3) (1996)