Filakovský, Marek; Vokřínek, Lukáš Computing homotopy classes for diagrams. (English) Zbl 07748813 Discrete Comput. Geom. 70, No. 3, 866-920 (2023). Reviewer: Luigi Caputi (Torino) MSC: 55P91 55S35 68U05 PDFBibTeX XMLCite \textit{M. Filakovský} and \textit{L. Vokřínek}, Discrete Comput. Geom. 70, No. 3, 866--920 (2023; Zbl 07748813) Full Text: DOI arXiv OA License
Skopenkov, Arkadiy Extendability of simplicial maps is undecidable. (English) Zbl 07644326 Discrete Comput. Geom. 69, No. 1, 250-259 (2023). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 57Q99 68U05 68Q17 68Q25 PDFBibTeX XMLCite \textit{A. Skopenkov}, Discrete Comput. Geom. 69, No. 1, 250--259 (2023; Zbl 07644326) Full Text: DOI arXiv
Evans, Parker; Wenk, Carola Combinatorial properties of self-overlapping curves and interior boundaries. (English) Zbl 1517.57013 Discrete Comput. Geom. 69, No. 1, 91-122 (2023). Reviewer: Emil Saucan (Karmiel) MSC: 57K99 68U05 57K20 PDFBibTeX XMLCite \textit{P. Evans} and \textit{C. Wenk}, Discrete Comput. Geom. 69, No. 1, 91--122 (2023; Zbl 1517.57013) Full Text: DOI arXiv
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. Subdivision of maps of digital images. (English) Zbl 1487.55018 Discrete Comput. Geom. 67, No. 3, 698-742 (2022). Reviewer: Dimitrios Georgiou (Patras) MSC: 55P99 54A40 68U10 PDFBibTeX XMLCite \textit{G. Lupton} et al., Discrete Comput. Geom. 67, No. 3, 698--742 (2022; Zbl 1487.55018) Full Text: DOI arXiv
Aguilar-Guzmán, Jorge; González, Jesús; Hoekstra-Mendoza, Teresa Farley-Sabalka’s Morse-theory model and the higher topological complexity of ordered configuration spaces on trees. (English) Zbl 1492.55009 Discrete Comput. Geom. 67, No. 1, 258-286 (2022). Reviewer: Cesar A. Ipanaque Zapata (São Carlos) MSC: 55R80 55M30 57M15 20F36 57Q10 68T40 57Q70 PDFBibTeX XMLCite \textit{J. Aguilar-Guzmán} et al., Discrete Comput. Geom. 67, No. 1, 258--286 (2022; Zbl 1492.55009) Full Text: DOI arXiv
Lupton, Gregory; Oprea, John; Scoville, Nicholas A. Homotopy theory in digital topology. (English) Zbl 1481.54060 Discrete Comput. Geom. 67, No. 1, 112-165 (2022). Reviewer: Ege Özgür (Izmir) MSC: 54H30 55P99 68U10 55P05 55M25 55M30 PDFBibTeX XMLCite \textit{G. Lupton} et al., Discrete Comput. Geom. 67, No. 1, 112--165 (2022; Zbl 1481.54060) Full Text: DOI arXiv
Erickson, Jeff; Wang, Yipu Topologically trivial closed walks in directed surface graphs. (English) Zbl 1466.05049 Discrete Comput. Geom. 64, No. 4, 1253-1294 (2020). MSC: 05C10 05C85 05C20 57M15 68U03 68Q17 PDFBibTeX XMLCite \textit{J. Erickson} and \textit{Y. Wang}, Discrete Comput. Geom. 64, No. 4, 1253--1294 (2020; Zbl 1466.05049) Full Text: DOI arXiv Link
Fernández-Ternero, Desamparados; Macías-Virgós, Enrique; Scoville, Nicholas A.; Vilches, José Antonio Strong discrete Morse theory and simplicial L-S category: a discrete version of the Lusternik-Schnirelmann theorem. (English) Zbl 1444.55011 Discrete Comput. Geom. 63, No. 3, 607-623 (2020). Reviewer: Miguel Ottina (Mendoza) MSC: 55U10 55M30 57Q70 PDFBibTeX XMLCite \textit{D. Fernández-Ternero} et al., Discrete Comput. Geom. 63, No. 3, 607--623 (2020; Zbl 1444.55011) Full Text: DOI arXiv
Fernández, Ximena; Minian, Elías Gabriel The cylinder of a relation and generalized versions of the nerve theorem. (English) Zbl 1444.55012 Discrete Comput. Geom. 63, No. 3, 549-559 (2020). Reviewer: Miguel Ottina (Mendoza) MSC: 55U10 55P10 06A07 18B35 57Q10 PDFBibTeX XMLCite \textit{X. Fernández} and \textit{E. G. Minian}, Discrete Comput. Geom. 63, No. 3, 549--559 (2020; Zbl 1444.55012) Full Text: DOI arXiv
Matsushita, Takahiro \(\mathbb{Z}_2\)-indices and Hedetniemi’s conjecture. (English) Zbl 1422.55038 Discrete Comput. Geom. 62, No. 3, 662-673 (2019). Reviewer: Mahender Singh (Manauli) MSC: 55U10 05C15 55P91 PDFBibTeX XMLCite \textit{T. Matsushita}, Discrete Comput. Geom. 62, No. 3, 662--673 (2019; Zbl 1422.55038) Full Text: DOI arXiv
Chen, Tianran Unmixing the mixed volume computation. (English) Zbl 1417.52021 Discrete Comput. Geom. 62, No. 1, 55-86 (2019). MSC: 52B55 65H10 65H20 52A39 PDFBibTeX XMLCite \textit{T. Chen}, Discrete Comput. Geom. 62, No. 1, 55--86 (2019; Zbl 1417.52021) Full Text: DOI arXiv
Belchí, Francisco Optimising the topological information of the \(A_\infty \)-persistence groups. (English) Zbl 1426.55005 Discrete Comput. Geom. 62, No. 1, 29-54 (2019). MSC: 55N31 16E45 55S30 57K10 18G40 55P62 55U99 PDFBibTeX XMLCite \textit{F. Belchí}, Discrete Comput. Geom. 62, No. 1, 29--54 (2019; Zbl 1426.55005) Full Text: DOI arXiv
Cappell, Sylvain E.; Miller, Edward Y. Enumerative combinatorics of simplicial and cell complexes: Kirchhoff and Trent type theorems. (English) Zbl 1409.05223 Discrete Comput. Geom. 61, No. 1, 1-41 (2019). MSC: 05E45 05C30 05C05 05A99 55U10 05C50 57M15 57Q10 PDFBibTeX XMLCite \textit{S. E. Cappell} and \textit{E. Y. Miller}, Discrete Comput. Geom. 61, No. 1, 1--41 (2019; Zbl 1409.05223) Full Text: DOI arXiv
Ustinovskiy, Yury On face numbers of flag simplicial complexes. (English) Zbl 1398.05230 Discrete Comput. Geom. 60, No. 3, 688-697 (2018). MSC: 05E45 55U35 57R91 13F55 PDFBibTeX XMLCite \textit{Y. Ustinovskiy}, Discrete Comput. Geom. 60, No. 3, 688--697 (2018; Zbl 1398.05230) Full Text: DOI arXiv
Chang, Hsien-Chih; Erickson, Jeff Untangling planar curves. (English) Zbl 1387.57039 Discrete Comput. Geom. 58, No. 4, 889-920 (2017). Reviewer: Ismail Naci Cangül (Bursa) MSC: 57N35 05C10 68U05 PDFBibTeX XMLCite \textit{H.-C. Chang} and \textit{J. Erickson}, Discrete Comput. Geom. 58, No. 4, 889--920 (2017; Zbl 1387.57039) Full Text: DOI Link
Adamaszek, Michał; Frick, Florian; Vakili, Adrien On homotopy types of Euclidean Rips complexes. (English) Zbl 1376.05169 Discrete Comput. Geom. 58, No. 3, 526-542 (2017). Reviewer: Nela Milošević (Podgorica) MSC: 05E45 55U10 52C99 PDFBibTeX XMLCite \textit{M. Adamaszek} et al., Discrete Comput. Geom. 58, No. 3, 526--542 (2017; Zbl 1376.05169) Full Text: DOI arXiv
Plummer, Michael D.; Ye, Dong; Zha, Xiaoya Connectivity and \(W_v\)-paths in polyhedral maps on surfaces. (English) Zbl 1381.05014 Discrete Comput. Geom. 58, No. 1, 217-231 (2017). Reviewer: Ismail Naci Cangül (Bursa) MSC: 05C10 05C40 57M15 PDFBibTeX XMLCite \textit{M. D. Plummer} et al., Discrete Comput. Geom. 58, No. 1, 217--231 (2017; Zbl 1381.05014) Full Text: DOI arXiv
Čadek, Martin; Krčál, Marek; Vokřínek, Lukáš Algorithmic solvability of the lifting-extension problem. (English) Zbl 1373.55018 Discrete Comput. Geom. 57, No. 4, 915-965 (2017). Reviewer: Ivan Ivanšić (Zagreb) MSC: 55Q05 55S91 PDFBibTeX XMLCite \textit{M. Čadek} et al., Discrete Comput. Geom. 57, No. 4, 915--965 (2017; Zbl 1373.55018) Full Text: DOI arXiv
Vokřínek, Lukáš Decidability of the extension problem for maps into odd-dimensional spheres. (English) Zbl 1362.68281 Discrete Comput. Geom. 57, No. 1, 1-11 (2017). MSC: 68U05 55P91 55Q52 55S35 PDFBibTeX XMLCite \textit{L. Vokřínek}, Discrete Comput. Geom. 57, No. 1, 1--11 (2017; Zbl 1362.68281) Full Text: DOI arXiv
Adamaszek, Michał; Adams, Henry; Frick, Florian; Peterson, Chris; Previte-Johnson, Corrine Nerve complexes of circular arcs. (English) Zbl 1354.05149 Discrete Comput. Geom. 56, No. 2, 251-273 (2016). Reviewer: Peter Dukes (Victoria) MSC: 05E45 05C40 05C15 55U10 55P15 52B15 68R05 PDFBibTeX XMLCite \textit{M. Adamaszek} et al., Discrete Comput. Geom. 56, No. 2, 251--273 (2016; Zbl 1354.05149) Full Text: DOI arXiv
Franek, Peter; Krčál, Marek On computability and triviality of well groups. (English) Zbl 1353.65047 Discrete Comput. Geom. 56, No. 1, 126-164 (2016). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 65H20 65H10 55S35 55Q55 PDFBibTeX XMLCite \textit{P. Franek} and \textit{M. Krčál}, Discrete Comput. Geom. 56, No. 1, 126--164 (2016; Zbl 1353.65047) Full Text: DOI arXiv
Har-Peled, Sariel; Nayyeri, Amir; Salavatipour, Mohammad; Sidiropoulos, Anastasios How to walk your dog in the mountains with no magic leash. (English) Zbl 1335.68284 Discrete Comput. Geom. 55, No. 1, 39-73 (2016). MSC: 68U05 68Q25 68W25 PDFBibTeX XMLCite \textit{S. Har-Peled} et al., Discrete Comput. Geom. 55, No. 1, 39--73 (2016; Zbl 1335.68284) Full Text: DOI arXiv
Romero, Ana; Sergeraert, Francis A combinatorial tool for computing the effective homotopy of iterated loop spaces. (English) Zbl 1311.55001 Discrete Comput. Geom. 53, No. 1, 1-15 (2015). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55-04 57Q99 PDFBibTeX XMLCite \textit{A. Romero} and \textit{F. Sergeraert}, Discrete Comput. Geom. 53, No. 1, 1--15 (2015; Zbl 1311.55001) Full Text: DOI
Minian, Elías Gabriel; Rodríguez, Jorge Tomás A note on the homotopy type of the Alexander dual. (English) Zbl 1301.55013 Discrete Comput. Geom. 52, No. 1, 34-43 (2014). Reviewer: Nicholas A. Scoville (Collegeville) MSC: 55U05 55P15 57Q05 57Q10 57Q15 06A06 52B70 PDFBibTeX XMLCite \textit{E. G. Minian} and \textit{J. T. Rodríguez}, Discrete Comput. Geom. 52, No. 1, 34--43 (2014; Zbl 1301.55013) Full Text: DOI arXiv
Čadek, Martin; Krčál, Marek; Matoušek, Jiří; Vokřínek, Lukáš; Wagner, Uli Extendability of continuous maps is undecidable. (English) Zbl 1358.68297 Discrete Comput. Geom. 51, No. 1, 24-66 (2014). MSC: 68U05 03D35 55Q52 55U10 68Q17 68Q25 PDFBibTeX XMLCite \textit{M. Čadek} et al., Discrete Comput. Geom. 51, No. 1, 24--66 (2014; Zbl 1358.68297) Full Text: DOI
Colin de Verdière, Éric; de Mesmay, Arnaud Testing graph isotopy on surfaces. (English) Zbl 1284.05072 Discrete Comput. Geom. 51, No. 1, 171-206 (2014). MSC: 05C10 05C60 PDFBibTeX XMLCite \textit{É. Colin de Verdière} and \textit{A. de Mesmay}, Discrete Comput. Geom. 51, No. 1, 171--206 (2014; Zbl 1284.05072) Full Text: DOI arXiv
Amini, Omid; Boissonnat, Jean-Daniel; Memari, Pooran Geometric tomography with topological guarantees. (English) Zbl 1310.68196 Discrete Comput. Geom. 50, No. 4, 821-856 (2013). MSC: 68U05 57R30 PDFBibTeX XMLCite \textit{O. Amini} et al., Discrete Comput. Geom. 50, No. 4, 821--856 (2013; Zbl 1310.68196) Full Text: DOI
Barmak, Jonathan Ariel; Minian, Elias Gabriel Strong homotopy types, nerves and collapses. (English) Zbl 1242.57019 Discrete Comput. Geom. 47, No. 2, 301-328 (2012). Reviewer: Wolfgang Kühnel (Stuttgart) MSC: 57Q10 57Q91 PDFBibTeX XMLCite \textit{J. A. Barmak} and \textit{E. G. Minian}, Discrete Comput. Geom. 47, No. 2, 301--328 (2012; Zbl 1242.57019) Full Text: DOI arXiv
Basu, Saugata On the number of topological types occurring in a parameterized family of arrangements. (English) Zbl 1159.52024 Discrete Comput. Geom. 40, No. 4, 481-503 (2008). MSC: 52C45 03C64 52A35 14P10 PDFBibTeX XMLCite \textit{S. Basu}, Discrete Comput. Geom. 40, No. 4, 481--503 (2008; Zbl 1159.52024) Full Text: DOI arXiv
Mizutani, Tomohiko; Takeda, Akiko; Kojima, Masakazu Dynamic enumeration of all mixed cells. (English) Zbl 1113.65055 Discrete Comput. Geom. 37, No. 3, 351-367 (2007). MSC: 65H10 65H20 12Y05 30C15 26C10 PDFBibTeX XMLCite \textit{T. Mizutani} et al., Discrete Comput. Geom. 37, No. 3, 351--367 (2007; Zbl 1113.65055) Full Text: DOI
Čukić, Sonja Lj.; Kozlov, Dmitry N. The homotopy type of complexes of graph homomorphisms between cycles. (English) Zbl 1103.55003 Discrete Comput. Geom. 36, No. 2, 313-329 (2006). Reviewer: Kohhei Yamaguchi (Tokyo) MSC: 55P10 05C30 PDFBibTeX XMLCite \textit{S. Lj. Čukić} and \textit{D. N. Kozlov}, Discrete Comput. Geom. 36, No. 2, 313--329 (2006; Zbl 1103.55003) Full Text: DOI arXiv
Colin de Verdiére, Éric; Lazarus, Francis Optimal system of loops on an orientable surface. (English) Zbl 1076.57018 Discrete Comput. Geom. 33, No. 3, 507-534 (2005). Reviewer: Maria Rita Casali (Modena) MSC: 57N05 57-04 57Q05 05C85 05C12 PDFBibTeX XMLCite \textit{É. Colin de Verdiére} and \textit{F. Lazarus}, Discrete Comput. Geom. 33, No. 3, 507--534 (2005; Zbl 1076.57018) Full Text: DOI
Kozlov, Dmitry N. Directed trees in a string, real polynomials with triple roots, and chain mails. (English) Zbl 1064.05043 Discrete Comput. Geom. 32, No. 3, 373-382 (2004). Reviewer: Peter McMullen (London) MSC: 05C05 05C20 PDFBibTeX XMLCite \textit{D. N. Kozlov}, Discrete Comput. Geom. 32, No. 3, 373--382 (2004; Zbl 1064.05043) Full Text: DOI arXiv
Edelman, P. H.; Reiner, V.; Welker, V. Convex, acyclic, and free sets of an oriented matroid. (English) Zbl 0997.52016 Discrete Comput. Geom. 27, No. 1, 99-116 (2002). Reviewer: A.Guedes de Oliveira (Porto) MSC: 52C40 06F30 55P15 PDFBibTeX XMLCite \textit{P. H. Edelman} et al., Discrete Comput. Geom. 27, No. 1, 99--116 (2002; Zbl 0997.52016) Full Text: DOI
Dong, X. Canonical modules of semigroup rings and a conjecture of Reiner. (English) Zbl 1001.20053 Discrete Comput. Geom. 27, No. 1, 85-97 (2002). Reviewer: Josif S.Ponizovskii (St.Peterburg) MSC: 20M25 13F55 13H10 16E65 20M14 52B20 PDFBibTeX XMLCite \textit{X. Dong}, Discrete Comput. Geom. 27, No. 1, 85--97 (2002; Zbl 1001.20053) Full Text: DOI
Anderson, Laura Homotopy groups of the combinatorial Grassmannian. (English) Zbl 1023.52003 Discrete Comput. Geom. 20, No. 4, 549-560 (1998). Reviewer: Günter M.Ziegler (Berlin) MSC: 52B40 14B15 14M15 57Q99 57R20 PDFBibTeX XMLCite \textit{L. Anderson}, Discrete Comput. Geom. 20, No. 4, 549--560 (1998; Zbl 1023.52003) Full Text: DOI
Edelman, P. H.; Reiner, V. Visibility complexes and the Baues problem for triangulations in the plane. (English) Zbl 0927.52021 Discrete Comput. Geom. 20, No. 1, 35-59 (1998). Reviewer: Sándor Fekete (Berlin) MSC: 52B99 55P15 52C99 PDFBibTeX XMLCite \textit{P. H. Edelman} and \textit{V. Reiner}, Discrete Comput. Geom. 20, No. 1, 35--59 (1998; Zbl 0927.52021) Full Text: DOI
Huber, B.; Sturmfels, Bernd Bernstein’s theorem in affine space. (English) Zbl 0891.65055 Discrete Comput. Geom. 17, No. 2, 137-141 (1997). MSC: 65H10 14M25 65H20 12Y05 52A39 30C15 PDFBibTeX XMLCite \textit{B. Huber} and \textit{B. Sturmfels}, Discrete Comput. Geom. 17, No. 2, 137--141 (1997; Zbl 0891.65055) Full Text: DOI
Verschelde, J.; Gatermann, K.; Cools, R. Mixed-volume computation by dynamic lifting applied to polynomial system solving. (English) Zbl 0854.68111 Discrete Comput. Geom. 16, No. 1, 69-112 (1996). MSC: 68U05 PDFBibTeX XMLCite \textit{J. Verschelde} et al., Discrete Comput. Geom. 16, No. 1, 69--112 (1996; Zbl 0854.68111) Full Text: DOI
Kincses, J. On polytopes cut by flats. (English) Zbl 0834.57013 Discrete Comput. Geom. 14, No. 3, 287-294 (1995). MSC: 57Q10 52B99 52B11 PDFBibTeX XMLCite \textit{J. Kincses}, Discrete Comput. Geom. 14, No. 3, 287--294 (1995; Zbl 0834.57013) Full Text: DOI EuDML
Levitt, Norman The Euler characteristic is the unique locally determined numerical homotopy invariant of finite complexes. (English) Zbl 0744.57015 Discrete Comput. Geom. 7, No. 1, 59-67 (1992). Reviewer: J.Hodgson (Philadelphia) MSC: 57R20 55R40 PDFBibTeX XMLCite \textit{N. Levitt}, Discrete Comput. Geom. 7, No. 1, 59--67 (1992; Zbl 0744.57015) Full Text: DOI EuDML
Canny, John; Donald, Bruce Simplified Voronoi diagrams. (English) Zbl 0642.52007 Discrete Comput. Geom. 3, No. 3, 219-236 (1988). Reviewer: L.A.Székely MSC: 52Bxx 68T99 52A37 55Q05 PDFBibTeX XMLCite \textit{J. Canny} and \textit{B. Donald}, Discrete Comput. Geom. 3, No. 3, 219--236 (1988; Zbl 0642.52007) Full Text: DOI EuDML