Preprint Series

The Birkbeck Mathematical Sciences Preprint Series consists of papers written by researchers in the mathematical sciences at Birkbeck. You can see the full list of publications on BIROn, our publications repository.

These preprints are a permanent record of the original submitted versions as at the submission date. You may wish to check arxiv or MathSciNet for published versions or versions incorporating referees' comments.

2020

• Preprint 56: Volumetric Uncertainty Bounds and Optimal Configurations for Converging Beam Triple LIDAR, by A.C.  Brooms and T.C. Holtom (2020).

2019

• Preprint 55: Random Subgraphs of Properly Edge-Coloured Complete Graphs and Long Rainbow Cycles, by by A. Pokrovskiy and B. Sudakov (2019).
• Preprint 54: Linearly Many Rainbow Trees in Properly Edge-Coloured Complete Graphs, by A. Pokrovskiy and B. Sudakov (2019).
• Preprint 53: Edge Disjoint Hamiltonian Cycles in Highly Connected Tournaments, by A. Pokrovskiy (2019).
• Preprint 52: An Approximate Version of a Conjecture of Aharoni and Berger, by A. Pokrovskiy (2019).
• Preprint 51: A Counterexample to Steins Equi-n-square Conjecture, by A. Pokrovskiy and B. Sudakov (2019).
• Preprint 50: On the Equivalence of Authentication Codes and Robust (2,2) Threshold Schemes, by M.B. Paterson and D.R. Stinson (2019).
• Preprint 49: Characterising Bimodal Collections of Sets in Finite Groups, by S. Huczynska and M.B. Paterson (2019).

2018

• Preprint 48: Purely (Non-)Strongly Real Beauville Groups, by Ben Fairbairn (2018).
• Preprint 47: The Structure of Delta-matroids With Width One Twists, by Carolyn Chun, Rhiannon Hall, Criel Merino, Iain Moffatt and Steven D. Noble (produced 2017 but added in 2018).
• Preprint 46: Delta-matroids as Subsystems of Sequences of Higgs Lifts, by Joseph E. Bonin, Carolyn Chun and Steven D. Noble (2018).
• Preprint 45: The Excluded 3-minors for Vf-safe Delta-matroids, by Joseph E. Bonin, Carolyn Chun and Steven D. Noble (2018).
• Preprint 44: Functional repair codes: a view from projective geometry, by Siaw-Lynn Ng and Maura Paterson (2018).
• Preprint 43: A note on commuting involution graphs in affine Coxeter groups, by Sarah Hart and Amal Sbeiti Clarke (2018).
• Preprint 42: Commuting involution graphs in classical affine Coxeter groups, by Sarah Hart and Amal Sbeiti Clarke (2018).
• Preprint 41: Error Propagation Analysis for a Static Convergent Beam Triple LIDAR, by T.C. Holtom and A.C. Brooms (2018).
• Preprint 40: Weighted external difference families and R-optimal AMD codes, by S. Huczynska and M.B. Paterson (2018).
• Preprint 39: Error Analysis for a Static Convergent Beam Triple LIDAR, by T. C. Holtom and A.C. Brooms (2018).

2017

• Preprint 38: Groups containing locally maximal product free sets of size 4, by C.S. Anabanti (2017).
• Preprint 37: A counter-example on a group partitioning problem, by C.S. Anabanti (2017).
• Preprint 36: Three questions of Bertram on locally maximal sum-free sets II, by C. S. Anabanti (2017).
• Preprint 35: Beauville p-groups: a survey, by Ben Fairbairn (2017).
• Preprint 34: Convergence of Multilevel Stationary Gaussian Quasi-Interpolation, by Simon Hubbert and Jeremy Levesley (2017).
• Preprint 33: On the Complexity of Generalized Chromatic Polynomials by A. Goodall, M. Hermann, T. Kotek, J. A. Makowsky, S. D. Noble (2017).
• Preprint 32: How many delta-matroids are there? by Daryl Funk, Dillon Mayhew, Steven D. Noble (2017)
• Preprint 31: Inductive tools for connected ribbon graphs, delta-matroids and multimatroids by Carolyn Chun, Deborah Chun, Steven D. Noble (2017)

2016

• Preprint 30: How many elements of a Coxeter group have a unique reduced expression? by Sarah Hart (2016).
• Preprint 29: Three questions of Bertram on locally maximal sum-free sets, by Chimere Anabanti (2016).
• Preprint 28: Commuting involution graphs for $\tilde C_n$, by Sarah Hart and Amal Sbeiti Clarke (2016).
• Preprint 27: Existence and Non-Existence Results for Strong External Difference Families by Sophie Huczynska and Maura B. Paterson (2016).
• Preprint 26: On zeros of the characteristic polynomial of matroids of bounded tree-width, by Carolyn Chun, Rhiannon Hall, Criel Merino and Steven Noble (2016).
• Preprint 25: Groups whose locally maximal product-free sets are complete, by Chimere S. Anabanti, Grahame Erskine and Sarah B. Hart (2016).
• Preprint 24: PIR schemes with small download complexity and low storage requirements, by Simon R. Blackburn, Tuvi Etzion and Maura B. Paterson (2016).
• Preprint 23: A new infinite family of non-abelian strongly real Beauville p-groups for every odd prime p, by Ben Fairbairn (2016).
• Preprint 22: Closed form representations and properties of the generalised Wendland functions, by Andrew Chernih and Simon Hubbert. (produced 2014 but added when Simon joined the research group in 2016).
• Preprint 21: Option pricing under the one-dimensional jump-diffusion model using the radial basis function interpolation scheme, by Ron Tat Lung Chan and Simon Hubbert. (produced 2014 but added when Simon joined the research group in 2016).
• Preprint 20: Louis Joel Mordell's time in London, by Ben Fairbairn (2016).
• Preprint 19: Some Examples Related to Conway Groupoids and their Generalisations, by Ben Fairbairn (2016).
• Preprint 18: Multi-prover Proof-of-Retrievability, by M.B. Paterson, D.R. Stinson and J. Upadhyay (2016).

2015

• Preprint 17: A Note on Filled Groups, by Chimere Anabanti and Sarah Hart (2015).
• Preprint 16: Coxeter Groups as Beauville Groups, by Ben Fairbairn (2015).
• Preprint 15: Localised Multisecret Sharing, by Thalia M. Laing, Keith M. Martin, Maura B. Paterson and Douglas R. Stinson (2015).
• Preprint 14: Disjoint difference families and their applications, by S.-L Ng and M. B. Paterson (2015).
• Preprint 13: Combinatorial characterizations of algebraic manipulation detection codes involving generalized difference families, by Maura B. Paterson and Douglas R. Stinson (2015).
• Preprint 12: On a conjecture of Street and Whitehead on locally maximal product-free sets, by Chimere Anabanti and Sarah Hart (2015).
• Preprint 11: New examples of mixed Beauville groups, by Ben Fairbairn and Emilio Pierro (2015).
• Preprint 10: Locally Maximal Product-free sets of size 3, by Chimere Anabanti and Sarah Hart (2015).
• Preprint 9: Hypercubes as dessins d'enfant, by Ben Fairbairn (2015).
• Preprint 8: More on Strongly Real Beauville Groups, by Ben Fairbairn (2015).

2014

• Preprint 7: The Möbius function of the small Ree groups, by Emilio Pierro (2014).
• Preprint 6: Maximal Length Elements of Excess Zero in Finite Coxeter Groups, by Sarah B. Hart and Peter J. Rowley (2014).
• Preprint 5: Computing in Matrix Groups Without Memory, by Peter J. Cameron, Ben Fairbairn & Maximilien Gadouleau (2014).
• Preprint 4: Involution Statistics in Finite Coxeter Groups, by Sarah B. Hart and Peter J. Rowley (2014).
• Preprint 3: On products of long cycles: short cycle dependence and separation probabilities, by Valentin Féray & Amarpreet Rattan (2014).
• Preprint 2: Optimal constructions for ID-based one-way-function key predistribution schemes realizing specified communication graphs, by Maura B. Paterson and Douglas R. Stinson (2014).
• Preprint 1: Computing in Permutation Groups Without Memory, by Peter J. Cameron, Ben Fairbairn and Maximilien Gadouleau (2014).