TY - JOUR AU - Posada, D. PY - 2001 DA - 2001// TI - The effect of branch length variation on the selection of models of molecular evolution JO - J Mol Evol VL - 52 ID - Posada2001 ER - TY - BOOK AU - Felsenstein, J. PY - 2004 DA - 2004// TI - Inferring Phylogenies PB - Sinauer Associates, Inc. CY - Sunderland ID - Felsenstein2004 ER - TY - JOUR AU - Fu, Y. X. AU - Li, W. PY - 1992 DA - 1992// TI - Construction of linear invariants in phylogenetic inference JO - Math Biosci VL - 109 UR - https://doi.org/10.1016/0025-5564(92)90045-X DO - 10.1016/0025-5564(92)90045-X ID - Fu1992 ER - TY - JOUR AU - Steel, M. AU - Hendy, M. AU - Székely, L. AU - Erdős, P. PY - 1992 DA - 1992// TI - Spectral analysis and a closest tree method for genetic sequences JO - Appl Math Lett. Int J Rapid Publication VL - 5 ID - Steel1992 ER - TY - JOUR AU - Draisma, J. AU - Kuttler, J. PY - 2009 DA - 2009// TI - On the ideals of equivariants tree models JO - Mathematische Annalen VL - 344 UR - https://doi.org/10.1007/s00208-008-0320-6 DO - 10.1007/s00208-008-0320-6 ID - Draisma2009 ER - TY - JOUR AU - Casanellas, M. AU - Fernandez-Sanchez, J. PY - 2011 DA - 2011// TI - Relevant phylogenetic invariants of evolutionary models JO - J de Mathématiques Pures et Appliquées VL - 96 UR - https://doi.org/10.1016/j.matpur.2010.11.002 DO - 10.1016/j.matpur.2010.11.002 ID - Casanellas2011 ER - TY - JOUR AU - Kedzierska, A. AU - Drton, M. AU - Guigó, R. AU - Casanellas, M. PY - 2012 DA - 2012// TI - SPIn: model selection for phylogenetic mixtures via linear invariants JO - Mol Biol Evol VL - 29 UR - https://doi.org/10.1093/molbev/msr259 DO - 10.1093/molbev/msr259 ID - Kedzierska2012 ER - TY - BOOK AU - Semple, C. AU - Steel, M. PY - 2003 DA - 2003// TI - Phylogenetics, Volume 24 of Oxford Lecture Series in Mathematics and its Applications PB - Oxford University Press CY - Oxford ID - Semple2003 ER - TY - JOUR AU - Allman, E. AU - Rhodes, J. PY - 2006 DA - 2006// TI - The identifiability of tree topology for phylogenetic models, including covarion and mixture models JO - J Comput Biol VL - 13 UR - https://doi.org/10.1089/cmb.2006.13.1101 DO - 10.1089/cmb.2006.13.1101 ID - Allman2006 ER - TY - JOUR AU - Allman, E. S. AU - Petrovic, S. AU - Rhodes, J. A. AU - Sullivant, S. PY - 2011 DA - 2011// TI - Identifiability of two-tree mixtures for group-based models JO - IEEE/ACM Trans Comput Biol Bioinformatics VL - 8 UR - https://doi.org/10.1109/TCBB.2010.79 DO - 10.1109/TCBB.2010.79 ID - Allman2011 ER - TY - JOUR AU - Stefanovic, D. AU - Vigoda, E. PY - 2007 DA - 2007// TI - Phylogeny of mixture models: Robustness of maximum likelihood and non-identifiable distributions JO - J Comput Biol VL - 14 UR - https://doi.org/10.1089/cmb.2006.0126 DO - 10.1089/cmb.2006.0126 ID - Stefanovic2007 ER - TY - JOUR AU - Rhodes, J. AU - Sullivant, S. PY - 2012 DA - 2012// TI - Identifiability of large phylogenetic mixture models JO - Bull Math Biol VL - 74 UR - https://doi.org/10.1007/s11538-011-9672-2 DO - 10.1007/s11538-011-9672-2 ID - Rhodes2012 ER - TY - JOUR AU - Chai, J. AU - Housworth, E. A. PY - 2011 DA - 2011// TI - On Rogers’s proof of identifiability for the GTR + Gamma + I model JO - Syst Biol VL - 60 UR - https://doi.org/10.1093/sysbio/syr023 DO - 10.1093/sysbio/syr023 ID - Chai2011 ER - TY - BOOK AU - Harris, J. PY - 1992 DA - 1992// TI - Algebraic Geometry. A First Course, Volume 133 of Graduate Texts in Mathematics PB - Springer-Verlag CY - New York ID - Harris1992 ER - TY - BOOK AU - Serre, J. PY - 1977 DA - 1977// TI - Linear Representations of Finite Groups PB - Springer-Verlag CY - New York UR - https://doi.org/10.1007/978-1-4684-9458-7 DO - 10.1007/978-1-4684-9458-7 ID - Serre1977 ER - TY - JOUR AU - Sumner, J. AU - Fernández-Sánchez, J. AU - Jarvis, P. PY - 2012 DA - 2012// TI - On Lie Markov models JO - J Theor Biol VL - 298 UR - https://doi.org/10.1016/j.jtbi.2011.12.017 DO - 10.1016/j.jtbi.2011.12.017 ID - Sumner2012 ER - TY - JOUR AU - Allman, E. AU - Rhodes, J. PY - 2006 DA - 2006// TI - Phylogenetic invariants for stationary base composition JO - J Symbolic Comput VL - 41 UR - https://doi.org/10.1016/j.jsc.2005.04.004 DO - 10.1016/j.jsc.2005.04.004 ID - Allman2006 ER - TY - CHAP AU - Jukes, T. H. AU - Cantor, C. R. ED - Munro, H. N. PY - 1969 DA - 1969// TI - Evolution of protein molecules BT - Mammalian Protein Metabolism, Volume 3 PB - Academic Press CY - New York UR - https://doi.org/10.1016/B978-1-4832-3211-9.50009-7 DO - 10.1016/B978-1-4832-3211-9.50009-7 ID - Jukes1969 ER - TY - JOUR AU - Kimura, M. PY - 1980 DA - 1980// TI - A simple method for estimating evolutionary rates of base substitution through comparative studies of nucleotide sequences JO - J Mol Evol VL - 16 UR - https://doi.org/10.1007/BF01731581 DO - 10.1007/BF01731581 ID - Kimura1980 ER - TY - JOUR AU - Kimura, M. PY - 1981 DA - 1981// TI - Estimation of evolutionary sequences between homologous nucleotide sequences JO - Proc Nat Acad Sci VL - 78 UR - https://doi.org/10.1073/pnas.78.1.454 DO - 10.1073/pnas.78.1.454 ID - Kimura1981 ER - TY - CHAP AU - Casanellas, M. AU - Sullivant, S. ED - Pachter, L. ED - Sturmfels, B. PY - 2005 DA - 2005// TI - The strand symmetric model BT - Algebraic Statistics for Computational Biology PB - Cambridge University Press CY - New York ID - Casanellas2005 ER - TY - JOUR AU - Chang, J. T. PY - 1996 DA - 1996// TI - Full reconstruction of Markov models on evolutionary trees: identifiability and consistency JO - Math Biosci VL - 137 UR - https://doi.org/10.1016/S0025-5564(96)00075-2 DO - 10.1016/S0025-5564(96)00075-2 ID - Chang1996 ER - TY - JOUR AU - Allman, E. AU - Rhodes, J. PY - 2008 DA - 2008// TI - Phylogenetic ideals and varieties for the general Markov model JO - Adv Appl Math VL - 40 UR - https://doi.org/10.1016/j.aam.2006.10.002 DO - 10.1016/j.aam.2006.10.002 ID - Allman2008 ER - TY - JOUR AU - Allman, E. AU - Rhodes, J. PY - 2003 DA - 2003// TI - Phylogenetic invariants for the general Markov model of sequence mutation JO - Math Biosci VL - 186 UR - https://doi.org/10.1016/j.mbs.2003.08.004 DO - 10.1016/j.mbs.2003.08.004 ID - Allman2003 ER - TY - JOUR AU - Steel, M. AU - Hendy, M. AU - Penny, D. PY - 1998 DA - 1998// TI - Reconstructing phylogenies from nucleotide pattern probabilities: a survey and some new results JO - Discrete Appl Math VL - 88 UR - https://doi.org/10.1016/S0166-218X(98)00080-8 DO - 10.1016/S0166-218X(98)00080-8 ID - Steel1998 ER - TY - JOUR AU - Matsen, F. AU - Mossen, E. AU - Steel, M. PY - 2008 DA - 2008// TI - Mixed-up trees: The structure of phylogenetic mixtures JO - Bull Math Biol VL - 70 UR - https://doi.org/10.1007/s11538-007-9293-y DO - 10.1007/s11538-007-9293-y ID - Matsen2008 ER - TY - JOUR AU - Lake, J. PY - 1987 DA - 1987// TI - A rate-independent technique for analysis of nucleaic acid sequences: evolutionary parsimony JO - Mol Biol Evol VL - 4 ID - Lake1987 ER - TY - JOUR AU - Cavender, J. AU - Felsenstein, J. PY - 1987 DA - 1987// TI - Invariants of phylogenies in a simple case with discrete states JO - J Classif VL - 4 UR - https://doi.org/10.1007/BF01890075 DO - 10.1007/BF01890075 ID - Cavender1987 ER - TY - JOUR AU - Allman, E. AU - Rhodes, J. PY - 2004 DA - 2004// TI - Quartets and parameter recovery for the general Markov model of sequence mutation JO - Appl Math Res Express VL - 2004 UR - https://doi.org/10.1155/S1687120004020283 DO - 10.1155/S1687120004020283 ID - Allman2004 ER - TY - JOUR AU - Sturmfels, B. AU - Sullivant, S. PY - 2005 DA - 2005// TI - Toric ideals of phylogenetic invariants JO - J Comput Biol VL - 12 UR - https://doi.org/10.1089/cmb.2005.12.204 DO - 10.1089/cmb.2005.12.204 ID - Sturmfels2005 ER - TY - JOUR AU - Allman, E. AU - Rhodes, J. PY - 2008 DA - 2008// TI - Identifying evolutionary trees and substitution parameters for the general Markov model with invariable sites JO - Math Biosci VL - 211 UR - https://doi.org/10.1016/j.mbs.2007.09.001 DO - 10.1016/j.mbs.2007.09.001 ID - Allman2008 ER -