Ian T. Roberts

According to our database, Ian T. Roberts authored at least 24 papers between 1996 and 2023.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of three.

2023

The Saturation Spectrum for Antichains of Subsets.

Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz

Order, October, 2023

Sizes of flat maximal antichains of subsets.

Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz

CoRR, 2023

2021

Minimum Weight Flat Antichains of Subsets.

Jerrold R. Griggs, Sven Hartmann, Thomas Kalinowski, Uwe Leck, Ian T. Roberts

Order, 2021

Maximal antichains of subsets I: The shadow spectrum.

Jerrold R. Griggs, Thomas Kalinowski, Uwe Leck, Ian T. Roberts, Michael Schmitz

CoRR, 2021

2017

Full and maximal squashed flat antichains of minimum weight.

Jerrold R. Griggs, Sven Hartmann, Thomas Kalinowski, Uwe Leck, Ian T. Roberts

CoRR, 2017

2016

Minimizing the regularity of maximal regular antichains of 2- and 3-sets.

Thomas Kalinowski, Uwe Leck, Christian Reiher, Ian T. Roberts

Australas. J Comb., 2016

2014

Inequalities for cross-unions of collections of finite sets.

Uwe Leck, Ian T. Roberts

Eur. J. Comb., 2014

Antichains and completely separating systems - A catalogue and applications.

Martin Grüttmüller, Ian T. Roberts, Leanne J. Rylands

Discret. Appl. Math., 2014

2013

On the existence of regular antichains.

Ian T. Roberts, Matthias Böhm

Discret. Math., 2013

Maximal Antichains of Minimum Size.

Thomas Kalinowski, Uwe Leck, Ian T. Roberts

Electron. J. Comb., 2013

Completely separating systems of k-sets for (^k-1₂) ≤ n < (^k₂) or 11 ≤ k ≤ 12.

Ian T. Roberts, Sue D'Arcy, Hans-Dietrich O. F. Gronau

Australas. J Comb., 2013

2012

Minimizing the weight of the union-closure of families of two-sets.

Uwe Leck, Ian T. Roberts, Jamie Simpson

Australas. J Comb., 2012

2011

Minimizing the weight of the union-closure of uniform families of sets.

Uwe Leck, Ian T. Roberts

Electron. Notes Discret. Math., 2011

2010

A note on the union-closed sets conjecture.

Ian T. Roberts, Jamie Simpson

Australas. J Comb., 2010

On the number of minimal completely separating systems and antichains in a Boolean lattice.

Ian T. Roberts, Leanne J. Rylands, Terry Montag, Martin Grüttmüller

Australas. J Comb., 2010

2009

Maximal Flat Antichains of Minimum Weight.

Martin Grüttmüller, Sven Hartmann, Thomas Kalinowski, Uwe Leck, Ian T. Roberts

Electron. J. Comb., 2009

Covering separating systems and an application to search theory.

Oudone Phanalasy, Ian T. Roberts, Leanne J. Rylands

Australas. J Comb., 2009

2006

The minimum number of blocks in pairwise balanced designs with maximum block size 4: the final cases.

Martin Grüttmüller, Ian T. Roberts, Sue D'Arcy, Judith Egan

Australas. J Comb., 2006

2005

Minimal (n) and (n, h, k) Completely Separating Systems.

Ian T. Roberts, Leanne J. Rylands

Australas. J Comb., 2005

Completely separating systems of k-sets for 7 ≤ k ≤ 10.

Ian T. Roberts

Australas. J Comb., 2005

1998

Regular Perfect Systems of Sets of Iterated Differences.

G. M. Hamilton, Ian T. Roberts, Douglas G. Rogers

Eur. J. Comb., 1998

Completely separating systems of k-sets.

Colin Ramsay, Ian T. Roberts, Frank Ruskey

Discret. Math., 1998

1996

Uniform perfect systems of sets of iterated differences of size 4¹.

G. M. Hamilton, Colin Ramsay, Ian T. Roberts, Douglas G. Rogers

Discret. Math., 1996

Minimal completely separating systems of sets.

Colin Ramsay, Ian T. Roberts

Australas. J Comb., 1996