By Professor Andrew Ranald Francis

Journal articles

Francis AR; Graham JJ, 2006, 'Centres of Hecke algebras: The Dipper-James conjecture', Journal of Algebra, 306, pp. 244 - 267, http://dx.doi.org/10.1016/j.jalgebra.2006.05.010

Tanaka M; Phong R; Francis AR, 2006, 'An evaluation of indices for quantifying tuberculosis transmission using genotypes of pathogen isolates', BMC Infectious Diseases, 6

Tanaka M; Francis AR, 2006, 'Detecting emerging strains of tuberculosis by using spoligotypes', Proceedings of the National Academy of Sciences of the United States of America, 103, pp. 15266 - 15271

Tanaka M; Francis AR; Luciani F; Sisson SA, 2006, 'Using approximate Bayesian computation to estimate tuberculosis transmission parameters from genotype data', Genetics, 173, pp. 1511 - 1520, http://dx.doi.org/10.1534/genetics.106.055574

Francis A; Jones L, 2005, 'On bases of centres of Iwahori-Hecke algebras of the symmetric group', Journal of Algebra, 289, pp. 42 - 69, http://dx.doi.org/10.1016/j.jalgebra.2005.03.030

Tanaka M; Francis AR, 2005, 'Methods of quantifying and visualising outbreaks of tuberculosis using genotypic information', Infection Genetics and Evolution, 5, pp. 35 - 43

Francis A, 2003, 'Centralizers of Iwahori-Hecke algebras II: The general case', Algebra Colloquium, 10, pp. 95 - 100, http://dx.doi.org/10.1007/s100110300012

Francis A, 2001, 'Centralizers of Iwahori-Hecke algebras', Transactions of the American Mathematical Society, pp. 2725 - 2739

Francis A, 2001, 'The Brauer homomorphism and the minimal basis for centers of Iwahori-Hecke algebras of type A', Communications in Algebra, pp. 85 - 97

Francis A, 1999, 'The minimal basis for the centre of an Iwahori-Hecke algebra', Journal of Algebra, pp. 1 - 28

Conference Papers

Francis A; Wang W, 2007, 'The centers of Iwahori-Hecke algebras are filtered', in Lin Z; Wang J (ed.), REPRESENTATION THEORY-BK, AMER MATHEMATICAL SOC, PEOPLES R CHINA, E China Normal Univ, Lhasa, pp. 29 - +, presented at 4th International Conference on Representation Theory, PEOPLES R CHINA, E China Normal Univ, Lhasa, 16 July 2007 - 20 July 2007

Theses / Dissertations

Francis A, 1999, Centres and centralizers of Iwahoir-Hecke algebras

Preprints

Marchei D; Merelli E; Francis A, 2024, Factorizing the Brauer monoid in polynomial time, http://arxiv.org/abs/2402.07874v2

Francis A; Marchei D; Steel M, 2023, Phylogenetic network classes through the lens of expanding covers, http://dx.doi.org/10.1007/s00285-024-02075-y

Clark C; Jonušas J; Mitchell JD; Francis A, 2022, An algebraic model for inversion and deletion in bacterial genome rearrangement, http://arxiv.org/abs/2209.07963v2

Pons JC; Coronado TM; Hendriksen M; Francis A, 2021, A polynomial invariant for a new class of phylogenetic networks, http://arxiv.org/abs/2112.15179v2

Francis A; Jarvis PD, 2021, Brauer and partition diagram models for phylogenetic trees and forests, http://dx.doi.org/10.1098/rspa.2022.0044

Francis A; Huber KT; Moulton V; Wu T, 2021, Encoding and ordering X-cactuses, http://arxiv.org/abs/2109.03183v1

Francis A, 2021, "Normal" phylogenetic networks may be emerging as the leading class, http://arxiv.org/abs/2107.10414v2

Fischer M; Francis A; Wicke K, 2021, Phylogenetic Diversity Rankings in the Face of Extinctions: the Robustness of the Fair Proportion Index, http://arxiv.org/abs/2107.00748v1

Bhatia S; Egri-Nagy A; Serdoz S; Praeger CE; Gebhardt V; Francis A, 2020, A path-deformation framework for determining weighted genome rearrangement distance, http://arxiv.org/abs/2008.05560v1

Francis A; Guo Y; Hurley P; Obst O; Park L; Tanaka M; Thomson R; Wang XR, 2020, Projected ICU and Mortuary load due to COVID-19 in Sydney, http://dx.doi.org/10.1101/2020.03.31.20049312

Erdős PL; Francis A; Mezei TR, 2020, Rooted NNI moves on tree-based phylogenetic networks, http://dx.doi.org/10.1016/j.dam.2021.02.016

Fischer M; Francis A, 2019, The space of tree-based phylogenetic networks, http://arxiv.org/abs/1910.05679v1

Hendriksen M; Francis A, 2019, Tree-metrizable HGT networks, http://arxiv.org/abs/1908.08647v1

Fischer M; Francis A, 2019, How tree-based is my network? Proximity measures for unrooted phylogenetic networks, http://arxiv.org/abs/1906.06163v4

Hendriksen M; Francis A, 2019, A partial order and cluster-similarity metric on rooted phylogenetic trees, http://arxiv.org/abs/1906.02411v2

Francis A; Wynn H, 2019, A mean first passage time genome rearrangement distance, http://arxiv.org/abs/1904.06161v2

Hendriksen M; Francis A, 2018, Lattice consensus: A partial order on phylogenetic trees that induces an associatively stable consensus method, http://arxiv.org/abs/1810.06831v2

Francis A; Moulton V, 2017, Identifiability of tree-child phylogenetic networks under a probabilistic recombination-mutation model of evolution, http://dx.doi.org/10.1016/j.jtbi.2018.03.011

Rodrigues GS; Francis AR; Sisson SA; Tanaka MM, 2017, Inferences on the acquisition of multidrug resistance in \emph{Mycobacterium tuberculosis} using molecular epidemiological data, http://arxiv.org/abs/1704.04355v1

Francis A; Huber K; Moulton V, 2017, Tree-based unrooted phylogenetic networks, http://dx.doi.org/10.1007/s11538-017-0381-3

Francis A; Huber K; Moulton V; Wu T, 2017, Bounds for phylogenetic network space metrics, http://arxiv.org/abs/1702.05609v2

Sumner JG; Jarvis PD; Francis AR, 2016, A representation-theoretic approach to the calculation of evolutionary distance in bacteria, http://dx.doi.org/10.1088/1751-8121/aa7d60

Francis A; Semple C; Steel M, 2016, New Characterisations of Tree-Based Networks and Proximity Measures, http://arxiv.org/abs/1611.04225v2

Bryant D; Francis A; Steel M, 2016, Can we 'future-proof' consensus trees?, http://arxiv.org/abs/1611.01225v2

Bhatia S; Feijão P; Francis AR, 2016, Position and content paradigms in genome rearrangements: the wild and crazy world of permutations in genomics, http://arxiv.org/abs/1610.00077v1

Serdoz S; Egri-Nagy A; Sumner J; Holland BR; Jarvis PD; Tanaka MM; Francis AR, 2016, Maximum likelihood estimates of pairwise rearrangement distances, http://arxiv.org/abs/1602.03962v3

Clark C; Egri-Nagy A; Francis AR; Gebhardt V, 2016, Bacterial phylogeny in the Cayley graph, http://arxiv.org/abs/1601.04398v1

East J; Egri-Nagy A; Francis AR; Mitchell JD, 2015, Finite Diagram Semigroups: Extending the Computational Horizon, http://arxiv.org/abs/1502.07150v2

Francis AR; Steel M, 2015, Which phylogenetic networks are merely trees with additional arcs?, http://arxiv.org/abs/1502.07045v3

Bhatia S; Egri-Nagy A; Francis AR, 2014, Algebraic double cut and join -- A group-theoretic approach to the operator on multichromosomal genomes, http://arxiv.org/abs/1409.7146v1

Francis AR; Stehlik M; Wynn HP, 2014, "Building" exact confidence nets, http://arxiv.org/abs/1407.8375v4

Francis AR; Steel M, 2014, Tree-like Reticulation Networks - When Do Tree-like Distances Also Support Reticulate Evolution?, http://arxiv.org/abs/1405.2965v2

Egri-Nagy A; Gebhardt V; Tanaka MM; Francis AR, 2014, Group-theoretic models of the inversion process in bacterial genomes, http://dx.doi.org/10.48550/arxiv.1401.0567

Francis AR, 2013, An algebraic view of bacterial genome evolution, http://arxiv.org/abs/1311.6151v2

Francis AR; Wynn HP, 2013, Subgroup Majorization, http://dx.doi.org/10.1016/j.laa.2013.11.042

Francis A; Jones L, 2012, Multiplicative Bases for the Centres of the Group Algebra and Iwahori-Hecke Algebra of the Symmetric Group, http://arxiv.org/abs/1205.6837v1

Francis A; Wang W, 2008, The centers of Iwahori-Hecke algebras are filtered, http://arxiv.org/abs/0803.3361v1

Francis A; Jones L, 2007, Monomial bases for the centres of the group algebra and Iwahori--Hecke algebra of S_4, http://arxiv.org/abs/0709.0326v2

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