# 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 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 & 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 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 andtheir 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).