Cummings, Joseph; Hollering, Benjamin; Manon, Christopher Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman model. (English) Zbl 1531.92064 Adv. Appl. Math. 153, Article ID 102633, 33 p. (2024). MSC: 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Döcker, Janosch; Linz, Simone; Semple, Charles Hypercubes and Hamilton cycles of display sets of rooted phylogenetic networks. (English) Zbl 1526.92038 Adv. Appl. Math. 152, Article ID 102595, 31 p. (2024). MSC: 92D15 05C90 05C85 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Francis, Andrew; Huber, Katharina T.; Moulton, Vincent; Wu, Taoyang Encoding and ordering \(X\)-cactuses. (English) Zbl 1500.92063 Adv. Appl. Math. 142, Article ID 102414, 31 p. (2023). MSC: 92D15 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hartmann, Tom; Bannach, Max; Middendorf, Martin; Stadler, Peter F.; Wieseke, Nicolas; Hellmuth, Marc Complete edge-colored permutation graphs. (English) Zbl 1491.05080 Adv. Appl. Math. 139, Article ID 102377, 34 p. (2022). MSC: 05C15 05A05 05A18 05A19 05C72 05C85 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Stadnyk, Grace The edge-product space of phylogenetic trees is not shellable. (English) Zbl 1483.05024 Adv. Appl. Math. 135, Article ID 102311, 17 p. (2022); corrigendum ibid. 138, Article ID 102354, 2 p. (2022). MSC: 05C05 06A07 57Z10 92D15 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Coons, Jane Ivy; Sullivant, Seth Toric geometry of the Cavender-Farris-Neyman model with a molecular clock. (English) Zbl 1457.92125 Adv. Appl. Math. 123, Article ID 102119, 55 p. (2021). MSC: 92D15 92B25 14M25 62R01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anaya, Maria; Anipchenko-Ulaj, Olga; Ashfaq, Aisha; Chiu, Joyce; Kaiser, Mahedi; Ohsawa, Max Shoji; Owen, Megan; Pavlechko, Ella; St. John, Katherine; Suleria, Shivam; Thompson, Keith; Yap, Corrine Properties for the Fréchet mean in Billera-Holmes-Vogtmann treespace. (English) Zbl 1447.62139 Adv. Appl. Math. 120, Article ID 102072, 28 p. (2020). MSC: 62R20 62H22 62P10 92D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wicke, Kristina; Fischer, Mareike Combinatorial views on persistent characters in phylogenetics. (English) Zbl 1440.05122 Adv. Appl. Math. 119, Article ID 102046, 42 p. (2020). MSC: 05C30 05C05 05C90 92D10 92B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huber, K. T.; Scholz, G. E. Phylogenetic networks that are their own fold-ups. (English) Zbl 1429.05042 Adv. Appl. Math. 113, Article ID 101959, 24 p. (2020). MSC: 05C05 05C20 05C85 05D15 92D15 05C90 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Evans, Steven N.; Lanoue, Daniel Recovering a tree from the lengths of subtrees spanned by a randomly chosen sequence of leaves. (English) Zbl 1383.05052 Adv. Appl. Math. 96, 39-75 (2018). MSC: 05C05 05C60 05C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kelk, Steven; Stamoulis, Georgios A note on convex characters, Fibonacci numbers and exponential-time algorithms. (English) Zbl 1431.05084 Adv. Appl. Math. 84, 34-46 (2017). MSC: 05C30 05A15 05C85 05C90 11B39 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baldisserri, Agnese; Rubei, Elena Families of multiweights and pseudostars. (English) Zbl 1337.05019 Adv. Appl. Math. 77, 86-100 (2016). MSC: 05C05 05C12 05C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bordewich, Magnus; Semple, Charles Reticulation-visible networks. (English) Zbl 1335.05170 Adv. Appl. Math. 78, 114-141 (2016). MSC: 05C85 68R10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Miller, Ezra; Owen, Megan; Provan, J. Scott Polyhedral computational geometry for averaging metric phylogenetic trees. (English) Zbl 1329.68266 Adv. Appl. Math. 68, 51-91 (2015). MSC: 68U05 05C05 52B55 53C23 60B05 62P10 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moulton, Vincent; Wu, Taoyang A parsimony-based metric for phylogenetic trees. (English) Zbl 1315.05034 Adv. Appl. Math. 66, 22-45 (2015). MSC: 05C05 05C12 92B10 × Cite Format Result Cite Review PDF Full Text: DOI
Long, Colby; Sullivant, Seth Identifiability of 3-class Jukes-Cantor mixtures. (English) Zbl 1307.92013 Adv. Appl. Math. 64, 89-110 (2015). MSC: 92B10 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Koichi, Shungo The Buneman index via polyhedral split decomposition. (English) Zbl 1300.05053 Adv. Appl. Math. 60, 1-24 (2014). MSC: 05B35 52C45 52C35 54E35 05C05 × Cite Format Result Cite Review PDF Full Text: DOI
Herrmann, Sven; Moulton, Vincent The split decomposition of a \(k\)-dissimilarity map. (English) Zbl 1244.05057 Adv. Appl. Math. 49, No. 1, 39-56 (2012). MSC: 05C05 52B11 92D15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Levy, Dan; Pachter, Lior The neighbor-net algorithm. (English) Zbl 1274.92005 Adv. Appl. Math. 47, No. 2, 240-258 (2011). MSC: 92B10 92D15 68R05 62P10 05E99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grünewald, Stefan; Huber, Katharina T.; Moulton, Vincent; Semple, Charles; Spillner, Andreas Characterizing weak compatibility in terms of weighted quartets. (English) Zbl 1158.92034 Adv. Appl. Math. 42, No. 3, 329-341 (2009). MSC: 92D15 05C05 92-08 05C99 × Cite Format Result Cite Review PDF Full Text: DOI
Sullivant, Seth Algebraic geometry of Gaussian Bayesian networks. (English) Zbl 1175.13014 Adv. Appl. Math. 40, No. 4, 482-513 (2008). MSC: 13P25 13P10 62H99 14M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gill, Jonna; Linusson, Svante; Moulton, Vincent; Steel, Mike A regular decomposition of the edge-product space of phylogenetic trees. (English) Zbl 1149.05305 Adv. Appl. Math. 41, No. 2, 158-176 (2008). MSC: 05C05 92D15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Moulton, Vincent; Steel, Mike Peeling phylogenetic ‘oranges’. (English) Zbl 1067.92045 Adv. Appl. Math. 33, No. 4, 710-727 (2004). MSC: 92D15 05C05 06A07 05C90 54E99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Semple, Charles; Steel, Mike Cyclic permutations and evolutionary trees. (English) Zbl 1050.05027 Adv. Appl. Math. 32, No. 4, 669-680 (2004). MSC: 05C05 92D15 × Cite Format Result Cite Review PDF Full Text: DOI
Bordewich, Magnus; Semple, Charles; Talbot, John Counting consistent phylogenetic trees is #P-complete. (English) Zbl 1053.05029 Adv. Appl. Math. 33, No. 2, 416-430 (2004). Reviewer: Péter L. Erdős (Budapest) MSC: 05C05 92D15 × Cite Format Result Cite Review PDF Full Text: DOI Link