Clark, Chad; Jonušas, Julius; Mitchell, James D.; Francis, Andrew An algebraic model for inversion and deletion in bacterial genome rearrangement. (English) Zbl 07723252 J. Math. Biol. 87, No. 2, Paper No. 34, 23 p. (2023). Reviewer: Edgar Federico Elizeche (New Delhi) MSC: 92D15 20M20 20M05 PDFBibTeX XMLCite \textit{C. Clark} et al., J. Math. Biol. 87, No. 2, Paper No. 34, 23 p. (2023; Zbl 07723252) Full Text: DOI arXiv
Gadgil, Siddhartha; Krishnapur, Manjunath Random words in free groups, non-crossing matchings and RNA secondary structures. (English) Zbl 1519.92159 Indian J. Pure Appl. Math. 54, No. 1, 146-158 (2023). MSC: 92D20 20E05 PDFBibTeX XMLCite \textit{S. Gadgil} and \textit{M. Krishnapur}, Indian J. Pure Appl. Math. 54, No. 1, 146--158 (2023; Zbl 1519.92159) Full Text: DOI arXiv
Loutchko, Dimitri An algebraic characterization of self-generating chemical reaction networks using semigroup models. (English) Zbl 1510.92080 J. Math. Biol. 86, No. 5, Paper No. 76, 36 p. (2023). MSC: 92C40 92C42 20M35 PDFBibTeX XMLCite \textit{D. Loutchko}, J. Math. Biol. 86, No. 5, Paper No. 76, 36 p. (2023; Zbl 1510.92080) Full Text: DOI arXiv
Vittadello, Sean T.; Stumpf, Michael P. H. A group theoretic approach to model comparison with simplicial representations. (English) Zbl 1501.92036 J. Math. Biol. 85, No. 5, Paper No. 48, 38 p. (2022). MSC: 92C42 57S17 20B05 05E18 05E45 55U10 PDFBibTeX XMLCite \textit{S. T. Vittadello} and \textit{M. P. H. Stumpf}, J. Math. Biol. 85, No. 5, Paper No. 48, 38 p. (2022; Zbl 1501.92036) Full Text: DOI arXiv
Sadri, Koorosh; Shahbeigi, Fereshte; Puchała, Zbigniew; Życzkowski, Karol Accessible maps in a group of classical or quantum channels. (English) Zbl 1511.81089 Open Syst. Inf. Dyn. 29, No. 1, Article ID 2250002, 40 p. (2022). MSC: 81S22 20M05 81P47 20F05 30C45 PDFBibTeX XMLCite \textit{K. Sadri} et al., Open Syst. Inf. Dyn. 29, No. 1, Article ID 2250002, 40 p. (2022; Zbl 1511.81089) Full Text: DOI arXiv
Mondal, Shyam Swarup Boundedness and nuclearity of pseudo-differential operators on homogeneous trees. (English) Zbl 07541278 Anal. Math. Phys. 12, No. 3, Paper No. 84, 27 p. (2022). Reviewer: Vladimir Vasilyev (Belgorod) MSC: 47G30 39A12 43A85 20E08 PDFBibTeX XMLCite \textit{S. S. Mondal}, Anal. Math. Phys. 12, No. 3, Paper No. 84, 27 p. (2022; Zbl 07541278) Full Text: DOI arXiv
Mirabdollahi, H.; Davvaz, B. Fuzzy hyperstructural patterns of some genetic phenomena. (English) Zbl 1476.20065 Comput. Appl. Math. 40, No. 4, Paper No. 105, 16 p. (2021). MSC: 20N20 16Y99 20N25 16Y80 PDFBibTeX XMLCite \textit{H. Mirabdollahi} and \textit{B. Davvaz}, Comput. Appl. Math. 40, No. 4, Paper No. 105, 16 p. (2021; Zbl 1476.20065) Full Text: DOI
Stewart, Ian Overdetermined constraints and rigid synchrony patterns for network equilibria. (English) Zbl 1468.34049 Port. Math. (N.S.) 77, No. 2, 163-196 (2020). MSC: 34C15 34D06 34C05 34D09 34D10 05C99 34C25 20L05 PDFBibTeX XMLCite \textit{I. Stewart}, Port. Math. (N.S.) 77, No. 2, 163--196 (2020; Zbl 1468.34049) Full Text: DOI
Gadgil, Siddhartha Homogeneous length functions on groups: intertwined computer and human proofs. (English) Zbl 1468.20081 J. Autom. Reasoning 64, No. 4, 677-688 (2020). MSC: 20F65 20F12 03B35 03B38 68V15 68V20 PDFBibTeX XMLCite \textit{S. Gadgil}, J. Autom. Reasoning 64, No. 4, 677--688 (2020; Zbl 1468.20081) Full Text: DOI arXiv
Wu, Yaokun; Xu, Zeying; Zhu, Yinfeng A five-element transformation monoid on labelled trees. (English) Zbl 1415.05163 Eur. J. Comb. 80, 401-415 (2019). MSC: 05C78 05C05 05C25 20M20 PDFBibTeX XMLCite \textit{Y. Wu} et al., Eur. J. Comb. 80, 401--415 (2019; Zbl 1415.05163) Full Text: DOI
Bhatia, Sangeeta Algebraic models of large scale genome rearrangement events. (Abstract of thesis). (English) Zbl 1409.92163 Bull. Aust. Math. Soc. 99, No. 2, 338-339 (2019). MSC: 92D10 92D15 20B30 PDFBibTeX XMLCite \textit{S. Bhatia}, Bull. Aust. Math. Soc. 99, No. 2, 338--339 (2019; Zbl 1409.92163) Full Text: DOI
Nijholt, Eddie; Rink, Bob; Sanders, Jan Center manifolds of coupled cell networks. (English) Zbl 1415.37034 SIAM Rev. 61, No. 1, 121-155 (2019). MSC: 37C80 37G10 37G40 34C23 20M30 34D06 34B45 90B10 PDFBibTeX XMLCite \textit{E. Nijholt} et al., SIAM Rev. 61, No. 1, 121--155 (2019; Zbl 1415.37034) Full Text: DOI
Polymath, D. H. J. Homogeneous length functions on groups. (English) Zbl 1477.20076 Algebra Number Theory 12, No. 7, 1773-1786 (2018). MSC: 20F65 20F12 46B85 PDFBibTeX XMLCite \textit{D. H. J. Polymath}, Algebra Number Theory 12, No. 7, 1773--1786 (2018; Zbl 1477.20076) Full Text: DOI arXiv Link
Allocca, Michael P.; Graham, Jason M.; Price, Candice R.; Talbott, Shannon N.; Vasquez, Jennifer F. Word length perturbations in certain symmetric presentations of dihedral groups. (English) Zbl 1403.20034 Discrete Appl. Math. 221, 33-45 (2017). Reviewer: Marian Deaconescu (Safat) MSC: 20D60 20F10 20F05 PDFBibTeX XMLCite \textit{M. P. Allocca} et al., Discrete Appl. Math. 221, 33--45 (2017; Zbl 1403.20034) Full Text: DOI arXiv
Kim, Dohan Sorting on graphs by adjacent swaps using permutation groups. (English) Zbl 1398.68116 Comput. Sci. Rev. 22, 89-105 (2016). MSC: 68P10 05C25 05C85 20B40 68R10 68-02 PDFBibTeX XMLCite \textit{D. Kim}, Comput. Sci. Rev. 22, 89--105 (2016; Zbl 1398.68116) Full Text: DOI
Jarvis, Peter D.; Sumner, Jeremy G. Matrix group structure and Markov invariants in the strand symmetric phylogenetic substitution model. (English) Zbl 1343.92352 J. Math. Biol. 73, No. 2, 259-282 (2016); correction ibid. 82, No. 7, Paper No. 68, 1 p. (2021). MSC: 92D15 05E05 20G05 17B45 60J20 PDFBibTeX XMLCite \textit{P. D. Jarvis} and \textit{J. G. Sumner}, J. Math. Biol. 73, No. 2, 259--282 (2016; Zbl 1343.92352) Full Text: DOI arXiv
Twarock, Reidun; Valiunas, Motiejus; Zappa, Emilio Orbits of crystallographic embedding of non-crystallographic groups and applications to virology. (English) Zbl 1338.82064 Acta Crystallogr., Sect. A 71, No. 6, 569-582 (2015). MSC: 82D25 20H15 PDFBibTeX XMLCite \textit{R. Twarock} et al., Acta Crystallogr., Sect. A 71, No. 6, 569--582 (2015; Zbl 1338.82064) Full Text: DOI arXiv
Bhatia, Sangeeta; Egri-Nagy, Attila; Francis, Andrew R. Algebraic double cut and join: A group-theoretic approach to the operator on multichromosomal genomes. (English) Zbl 1355.92041 J. Math. Biol. 71, No. 5, 1149-1178 (2015). MSC: 92C42 20B35 PDFBibTeX XMLCite \textit{S. Bhatia} et al., J. Math. Biol. 71, No. 5, 1149--1178 (2015; Zbl 1355.92041) Full Text: DOI arXiv
Zappa, Emilio; Dykeman, Eric C.; Twarock, Reidun On the subgroup structure of the hyperoctahedral group in six dimensions. (English) Zbl 1341.20055 Acta Crystallogr., Sect. A 70, No. 5, 417-428 (2014). MSC: 20H15 82D25 PDFBibTeX XMLCite \textit{E. Zappa} et al., Acta Crystallogr., Sect. A 70, No. 5, 417--428 (2014; Zbl 1341.20055) Full Text: DOI arXiv
Jarvis, P. D.; Sumner, J. G. Adventures in invariant theory. (English) Zbl 1309.81033 ANZIAM J. 56, No. 2, 105-115 (2014). MSC: 81P40 20C35 81R05 92B05 92C40 PDFBibTeX XMLCite \textit{P. D. Jarvis} and \textit{J. G. Sumner}, ANZIAM J. 56, No. 2, 105--115 (2014; Zbl 1309.81033) Full Text: DOI arXiv
Francis, Andrew R. An algebraic view of bacterial genome evolution. (English) Zbl 1302.92089 J. Math. Biol. 69, No. 6-7, 1693-1718 (2014). Reviewer: Irina Ioana Mohorianu (Norwich) MSC: 92D15 20F55 57M25 PDFBibTeX XMLCite \textit{A. R. Francis}, J. Math. Biol. 69, No. 6--7, 1693--1718 (2014; Zbl 1302.92089) Full Text: DOI arXiv
Dechant, Pierre-Philippe A Clifford algebraic framework for Coxeter group theoretic computations. (English) Zbl 1301.20030 Adv. Appl. Clifford Algebr. 24, No. 1, 89-108 (2014). MSC: 20F55 15A66 17B22 PDFBibTeX XMLCite \textit{P.-P. Dechant}, Adv. Appl. Clifford Algebr. 24, No. 1, 89--108 (2014; Zbl 1301.20030) Full Text: DOI arXiv Link
Egri-Nagy, Attila; Gebhardt, Volker; Tanaka, Mark M.; Francis, Andrew R. Group-theoretic models of the inversion process in bacterial genomes. (English) Zbl 1293.92015 J. Math. Biol. 69, No. 1, 243-265 (2014). MSC: 92D15 20B35 68R05 PDFBibTeX XMLCite \textit{A. Egri-Nagy} et al., J. Math. Biol. 69, No. 1, 243--265 (2014; Zbl 1293.92015) Full Text: DOI arXiv
Bodner, Mark; Patera, Jiří; Szajewska, Marzena C\(_{70}\), C\(_{80}\), C\(_{90}\) and carbon nanotubes by breaking of the icosahedral symmetry of C\(_{60}\). (English) Zbl 1284.82111 Acta Crystallogr., Sect. A 69, No. 6, 583-591 (2013). MSC: 82D80 20H15 PDFBibTeX XMLCite \textit{M. Bodner} et al., Acta Crystallogr., Sect. A 69, No. 6, 583--591 (2013; Zbl 1284.82111) Full Text: DOI
Mushtaq, Qaiser; Khan, Madad Direct product of Abel Grassmann’s groupoids. (English) Zbl 1148.20309 J. Interdiscip. Math. 11, No. 4, 461-467 (2008). MSC: 20N02 20M99 20M12 PDFBibTeX XMLCite \textit{Q. Mushtaq} and \textit{M. Khan}, J. Interdiscip. Math. 11, No. 4, 461--467 (2008; Zbl 1148.20309) Full Text: DOI arXiv
Golubitsky, Martin; Stewart, Ian Nonlinear dynamics of networks: the groupoid formalism. (English) Zbl 1119.37036 Bull. Am. Math. Soc., New Ser. 43, No. 3, 305-364 (2006). Reviewer: Dieter Erle (Dortmund) MSC: 37G40 34C25 34C14 20L05 PDFBibTeX XMLCite \textit{M. Golubitsky} and \textit{I. Stewart}, Bull. Am. Math. Soc., New Ser. 43, No. 3, 305--364 (2006; Zbl 1119.37036) Full Text: DOI
Christiansen, F. B. Epistasis in the multiple locus symmetric viability model. (English) Zbl 0717.92016 J. Math. Biol. 26, No. 6, 595-618 (1988). MSC: 92D15 92D10 60C05 60D05 20B99 PDFBibTeX XMLCite \textit{F. B. Christiansen}, J. Math. Biol. 26, No. 6, 595--618 (1988; Zbl 0717.92016) Full Text: DOI
Arzberger, Peter An example of a regular inbreeding system with cubic ancestral growth that preserves some genetic variability. (English) Zbl 0716.92014 J. Math. Biol. 26, No. 5, 519-533 (1988). MSC: 92D10 20M05 60G50 20M30 05C90 PDFBibTeX XMLCite \textit{P. Arzberger}, J. Math. Biol. 26, No. 5, 519--533 (1988; Zbl 0716.92014) Full Text: DOI
Arzberger, Peter Results for generalized regular inbreeding systems. (English) Zbl 0716.92013 J. Math. Biol. 26, No. 5, 535-550 (1988). MSC: 92D10 60G50 20M05 05C90 PDFBibTeX XMLCite \textit{P. Arzberger}, J. Math. Biol. 26, No. 5, 535--550 (1988; Zbl 0716.92013) Full Text: DOI
Viertl, Reinhard Borel semigroups and probabilities. (English) Zbl 0539.60015 Semigroup Forum 29, 17-34 (1984). MSC: 60B15 28A60 20M10 43A05 43A40 PDFBibTeX XMLCite \textit{R. Viertl}, Semigroup Forum 29, 17--34 (1984; Zbl 0539.60015) Full Text: DOI EuDML
Rogers, Thomas D.; Pounder, J. R. Cycle structure in discrete-density models. (English) Zbl 0484.92015 Discrete Appl. Math. 4, 199-210 (1982). MSC: 92D25 39A12 39B12 20B99 PDFBibTeX XMLCite \textit{T. D. Rogers} and \textit{J. R. Pounder}, Discrete Appl. Math. 4, 199--210 (1982; Zbl 0484.92015) Full Text: DOI