Department of Economics, Mathematics and Statistics

Dept of Economics, Mathematics and Statistics | Mathematical Sciences Preprints

# Mathematical Sciences Preprint Series

The Birkbeck Mathematical Sciences Preprint Series consists of papers written by researchers in the mathematical sciences at Birkbeck.

Preprints from the Academic year 2018-19 and later (Preprint numbers 44 and above) are stored here.

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.

## 2018 (Jan-Sept)

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 40Weighted 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 & 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 counterexample 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 in finite 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 & 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).