Liu, Kaiwei; Lü, Xing; Gao, Fei; Zhang, Jiang Expectation-maximizing network reconstruction and most applicable network types based on binary time series data. (English) Zbl 1521.92090 Physica D 454, Article ID 133834, 19 p. (2023). MSC: 92D30 92C42 55U10 PDFBibTeX XMLCite \textit{K. Liu} et al., Physica D 454, Article ID 133834, 19 p. (2023; Zbl 1521.92090) Full Text: DOI arXiv
Tocino, Angel; Hernández Serrano, Daniel; Hernández-Serrano, Juan; Villarroel, Javier A stochastic simplicial SIS model for complex networks. (English) Zbl 1509.05163 Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107161, 17 p. (2023). MSC: 05C82 55U10 60H10 60H35 90B15 PDFBibTeX XMLCite \textit{A. Tocino} et al., Commun. Nonlinear Sci. Numer. Simul. 120, Article ID 107161, 17 p. (2023; Zbl 1509.05163) Full Text: DOI
Ren, Shiquan; Wu, Jie; Zhang, Mengmeng The embedded homology of hypergraph pairs. (English) Zbl 1515.55010 J. Knot Theory Ramifications 31, No. 14, Article ID 2250103, 30 p. (2022). Reviewer: Massimo Ferri (Bologna) MSC: 55U10 55U15 68P05 68P15 55N31 PDFBibTeX XMLCite \textit{S. Ren} et al., J. Knot Theory Ramifications 31, No. 14, Article ID 2250103, 30 p. (2022; Zbl 1515.55010) Full Text: DOI
Le, Tuyen Quang; Chiu, Pao-Hsiung; Ooi, Chinchun U-net-based surrogate model for evaluation of microfluidic channels. (English) Zbl 07633870 Int. J. Comput. Methods 19, No. 7, Article ID 2141018, 12 p. (2022). MSC: 76-XX 55P92 PDFBibTeX XMLCite \textit{T. Q. Le} et al., Int. J. Comput. Methods 19, No. 7, Article ID 2141018, 12 p. (2022; Zbl 07633870) Full Text: DOI arXiv
Azamir, Bouchaib; Bennis, Driss; Michel, Bertrand A simplified algorithm for identifying abnormal changes in dynamic networks. (English) Zbl 07614964 Physica A 607, Article ID 128224, 24 p. (2022). MSC: 82-XX 55N35 55U99 91B84 PDFBibTeX XMLCite \textit{B. Azamir} et al., Physica A 607, Article ID 128224, 24 p. (2022; Zbl 07614964) Full Text: DOI arXiv
Huntsman, Steve; Palladino, Jimmy; Robinson, Michael Topology. (English) Zbl 1490.68003 Goethals, Paul L. (ed.) et al., Mathematics in cyber research. Boca Raton, FL: CRC Press. 133-170 (2022). MSC: 68-02 55N30 55N31 55N35 57Q05 68M10 68P05 68P30 68R10 68T05 PDFBibTeX XMLCite \textit{S. Huntsman} et al., in: Mathematics in cyber research. Boca Raton, FL: CRC Press. 133--170 (2022; Zbl 1490.68003) Full Text: DOI
Hansen, Jakob; Ghrist, Robert Opinion dynamics on discourse sheaves. (English) Zbl 1471.91394 SIAM J. Appl. Math. 81, No. 5, 2033-2060 (2021). MSC: 91D30 55N30 PDFBibTeX XMLCite \textit{J. Hansen} and \textit{R. Ghrist}, SIAM J. Appl. Math. 81, No. 5, 2033--2060 (2021; Zbl 1471.91394) Full Text: DOI arXiv
Zhao, Yi; Maletić, Slobodan Simplicial complexes in complex systems. In search for alternatives. (English) Zbl 1481.55002 Hackensack, NJ: World Scientific (ISBN 978-981-12-2631-1/hbk; 978-981-12-2633-5/ebook). viii, 140 p. (2021). Reviewer: Yilun Shang (Newcastle) MSC: 55-01 93-01 92B20 05C82 05E45 90B10 PDFBibTeX XMLCite \textit{Y. Zhao} and \textit{S. Maletić}, Simplicial complexes in complex systems. In search for alternatives. Hackensack, NJ: World Scientific (2021; Zbl 1481.55002) Full Text: DOI
Reitz, Marcus; Bianconi, Ginestra The higher-order spectrum of simplicial complexes: a renormalization group approach. (English) Zbl 1519.82042 J. Phys. A, Math. Theor. 53, No. 29, Article ID 295001, 38 p. (2020). MSC: 82B28 55U10 PDFBibTeX XMLCite \textit{M. Reitz} and \textit{G. Bianconi}, J. Phys. A, Math. Theor. 53, No. 29, Article ID 295001, 38 p. (2020; Zbl 1519.82042) Full Text: DOI arXiv
Hernández Serrano, Daniel; Hernández-Serrano, Juan; Sánchez Gómez, Darío Simplicial degree in complex networks. Applications of topological data analysis to network science. (English) Zbl 1489.62422 Chaos Solitons Fractals 137, Article ID 109839, 20 p. (2020). MSC: 62R40 91D30 05C82 55U10 05C65 PDFBibTeX XMLCite \textit{D. Hernández Serrano} et al., Chaos Solitons Fractals 137, Article ID 109839, 20 p. (2020; Zbl 1489.62422) Full Text: DOI arXiv
Cang, Zixuan; Munch, Elizabeth; Wei, Guo-Wei Evolutionary homology on coupled dynamical systems with applications to protein flexibility analysis. (English) Zbl 1460.55007 J. Appl. Comput. Topol. 4, No. 4, 481-507 (2020). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55N31 62R40 37N25 92E10 PDFBibTeX XMLCite \textit{Z. Cang} et al., J. Appl. Comput. Topol. 4, No. 4, 481--507 (2020; Zbl 1460.55007) Full Text: DOI Link
Hernández Serrano, Daniel; Sánchez Gómez, Darío Centrality measures in simplicial complexes: applications of topological data analysis to network science. (English) Zbl 1464.55020 Appl. Math. Comput. 382, Article ID 125331, 20 p. (2020). Reviewer: Ran Levi (Aberdeen) MSC: 55U10 62R40 91D30 05C82 91C20 82B43 05E45 PDFBibTeX XMLCite \textit{D. Hernández Serrano} and \textit{D. Sánchez Gómez}, Appl. Math. Comput. 382, Article ID 125331, 20 p. (2020; Zbl 1464.55020) Full Text: DOI arXiv
Bramer, David; Wei, Guo-Wei Atom-specific persistent homology and its application to protein flexibility analysis. (English) Zbl 1439.92081 Comput. Math. Biophys. 8, No. 1, 1-35 (2020). MSC: 92C40 55N99 PDFBibTeX XMLCite \textit{D. Bramer} and \textit{G.-W. Wei}, Comput. Math. Biophys. 8, No. 1, 1--35 (2020; Zbl 1439.92081) Full Text: DOI arXiv
Pant, R. P.; Özgür, Nihal Yilmaz; Taş, Nihal Discontinuity at fixed points with applications. (English) Zbl 1431.54035 Bull. Belg. Math. Soc. - Simon Stevin 26, No. 4, 571-589 (2019). Reviewer: Mihai Turinici (Iaşi) MSC: 54H25 54E50 55M20 PDFBibTeX XMLCite \textit{R. P. Pant} et al., Bull. Belg. Math. Soc. - Simon Stevin 26, No. 4, 571--589 (2019; Zbl 1431.54035) Full Text: DOI Euclid
Salnikov, Vsevolod; Cassese, Daniele; Lambiotte, Renaud Simplicial complexes and complex systems. (English) Zbl 1420.55033 Eur. J. Phys. 40, No. 1, Article ID 014001, 13 p. (2019). MSC: 55U10 18G30 54C56 62N02 37F20 PDFBibTeX XMLCite \textit{V. Salnikov} et al., Eur. J. Phys. 40, No. 1, Article ID 014001, 13 p. (2019; Zbl 1420.55033) Full Text: DOI arXiv
Bressan, Stephane; Li, Jingyan; Ren, Shiquan; Wu, Jie The embedded homology of hypergraphs and applications. (English) Zbl 1432.55032 Asian J. Math. 23, No. 3, 479-500 (2019). MSC: 55U10 55U15 68P05 68P15 55N31 05C65 PDFBibTeX XMLCite \textit{S. Bressan} et al., Asian J. Math. 23, No. 3, 479--500 (2019; Zbl 1432.55032) Full Text: DOI arXiv
Erickson, Jeff; Fox, Kyle; Lkhamsuren, Luvsandondov Holiest minimum-cost paths and flows in surface graphs. (English) Zbl 1428.68322 Diakonikolas, Ilias (ed.) et al., Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC ’18, Los Angeles, CA, USA, June 25–29, 2018. New York, NY: Association for Computing Machinery (ACM). 1319-1332 (2018). MSC: 68U05 05C10 05C21 05C38 55-08 68R10 PDFBibTeX XMLCite \textit{J. Erickson} et al., in: Proceedings of the 50th annual ACM SIGACT symposium on theory of computing, STOC '18, Los Angeles, CA, USA, June 25--29, 2018. New York, NY: Association for Computing Machinery (ACM). 1319--1332 (2018; Zbl 1428.68322) Full Text: DOI arXiv
Benavides, Fernando; Rajsbaum, Sergio Collapsibility of read/write models using discrete Morse theory. (English) Zbl 1398.68359 J. Appl. Comput. Topol. 1, No. 3-4, 365-396 (2018). MSC: 68Q85 05E45 55U10 68M12 PDFBibTeX XMLCite \textit{F. Benavides} and \textit{S. Rajsbaum}, J. Appl. Comput. Topol. 1, No. 3--4, 365--396 (2018; Zbl 1398.68359) Full Text: DOI
Goubault, Éric; Mimram, Samuel; Tasson, Christine Geometric and combinatorial views on asynchronous computability. (English) Zbl 1451.68046 Distrib. Comput. 31, No. 4, 289-316 (2018). MSC: 68M14 55U10 68M12 68M15 68Q55 PDFBibTeX XMLCite \textit{É. Goubault} et al., Distrib. Comput. 31, No. 4, 289--316 (2018; Zbl 1451.68046) Full Text: DOI Link
Leibo, I. M. On the dimension of preimages of certain paracompact spaces. (English. Russian original) Zbl 1398.54055 Math. Notes 103, No. 3, 405-414 (2018); translation from Mat. Zametki 103, No. 3, 404-416 (2018). Reviewer: Takahisa Miyata (Kobe) MSC: 54F45 55M10 PDFBibTeX XMLCite \textit{I. M. Leibo}, Math. Notes 103, No. 3, 405--414 (2018; Zbl 1398.54055); translation from Mat. Zametki 103, No. 3, 404--416 (2018) Full Text: DOI
Estrada, Ernesto; Ross, Grant J. Centralities in simplicial complexes. Applications to protein interaction networks. (English) Zbl 1394.92040 J. Theor. Biol. 438, 46-60 (2018). MSC: 92C40 92C42 55U10 PDFBibTeX XMLCite \textit{E. Estrada} and \textit{G. J. Ross}, J. Theor. Biol. 438, 46--60 (2018; Zbl 1394.92040) Full Text: DOI Link
Atontsa Nguemo, Miradain; Tcheka, Calvin Sheaf cohomology on network codings: maxflow-mincut theorem. (English) Zbl 1375.18067 Appl. Gen. Topol. 18, No. 2, 219-230 (2017). MSC: 18F20 05C90 55N30 68M10 PDFBibTeX XMLCite \textit{M. Atontsa Nguemo} and \textit{C. Tcheka}, Appl. Gen. Topol. 18, No. 2, 219--230 (2017; Zbl 1375.18067) Full Text: DOI Link
Tanaka, Kohei Minimal networks for sensor counting problem using discrete Euler calculus. (English) Zbl 1412.55020 Japan J. Ind. Appl. Math. 34, No. 1, 229-242 (2017). Reviewer: Ahmet A. Khusainov (Komsomolsk-om-Amur) MSC: 55U99 28A25 55P10 06A07 PDFBibTeX XMLCite \textit{K. Tanaka}, Japan J. Ind. Appl. Math. 34, No. 1, 229--242 (2017; Zbl 1412.55020) Full Text: DOI arXiv
Carstens, Corrie Jacobien Topology of complex networks: models and analysis. (English) Zbl 1364.05069 Bull. Aust. Math. Soc. 95, No. 2, 347-349 (2017). MSC: 05C82 05C80 55U15 90B15 PDFBibTeX XMLCite \textit{C. J. Carstens}, Bull. Aust. Math. Soc. 95, No. 2, 347--349 (2017; Zbl 1364.05069) Full Text: DOI
Castañeda, Armando; Gonczarowski, Yannai A.; Moses, Yoram Unbeatable set consensus via topological and combinatorial reasoning. (English) Zbl 1373.68081 Proceedings of the 2016 ACM symposium on principles of distributed computing, PODC ’16, Chicago, IL, USA, July 25–28, 2016. New York, NY: Association for Computing Machinery (ACM) (ISBN 978-1-4503-3964-3). 107-116 (2016). MSC: 68M14 05E45 55U10 68M12 68M15 PDFBibTeX XMLCite \textit{A. Castañeda} et al., in: Proceedings of the 35th ACM symposium on principles of distributed computing, PODC '16, Chicago, IL, USA, July 25--28, 2016. New York, NY: Association for Computing Machinery (ACM). 107--116 (2016; Zbl 1373.68081) Full Text: DOI arXiv
Haggard, Hal M.; Han, Muxin; Riello, Aldo Encoding curved tetrahedra in face holonomies: phase space of shapes from group-valued moment maps. (English) Zbl 1345.83015 Ann. Henri Poincaré 17, No. 8, 2001-2048 (2016). MSC: 83C45 83C05 83C27 83C60 55U10 53C29 81T20 22E10 PDFBibTeX XMLCite \textit{H. M. Haggard} et al., Ann. Henri Poincaré 17, No. 8, 2001--2048 (2016; Zbl 1345.83015) Full Text: DOI arXiv
Benavides, Fernando; Rajsbaum, Sergio The read/write protocol complex is collapsible. (English) Zbl 1398.68358 Kranakis, Evangelos (ed.) et al., LATIN 2016: theoretical informatics. 12th Latin American symposium, Ensenada, Mexico, April 11–15, 2016. Proceedings. Berlin: Springer (ISBN 978-3-662-49528-5/pbk; 978-3-662-49529-2/ebook). Lecture Notes in Computer Science 9644, 179-191 (2016). MSC: 68Q85 05E45 55U10 68M12 PDFBibTeX XMLCite \textit{F. Benavides} and \textit{S. Rajsbaum}, Lect. Notes Comput. Sci. 9644, 179--191 (2016; Zbl 1398.68358) Full Text: DOI arXiv
Eudave-Muñoz, Mario; Jasso, Edgar; Miyazaki, Katura; Motegi, Kimihiko Seifert fibered surgeries on strongly invertible knots without primitive/Seifert positions. (English) Zbl 1331.57006 Topology Appl. 196, Part B, 729-753 (2015). Reviewer: Lee P. Neuwirth (Princeton) MSC: 57M25 57M50 57N10 57M12 55R55 57R65 PDFBibTeX XMLCite \textit{M. Eudave-Muñoz} et al., Topology Appl. 196, Part B, 729--753 (2015; Zbl 1331.57006) Full Text: DOI arXiv
Herlihy, Maurice; Kozlov, Dmitry; Rajsbaum, Sergio Distributed computing through combinatorial topology. (English) Zbl 1341.68004 Amsterdam: Elsevier/Morgan Kaufmann (ISBN 978-0-12-404578-1/pbk; 978-0-12-404728-0/ebook). xiv, 319 p. (2014). Reviewer: Michael Farber (London) MSC: 68-02 05E45 55U10 68M12 68M14 68Q10 68Q85 68W15 PDFBibTeX XMLCite \textit{M. Herlihy} et al., Distributed computing through combinatorial topology. Amsterdam: Elsevier/Morgan Kaufmann (2014; Zbl 1341.68004) Full Text: Link
E, Weinan; Lu, Jianfeng; Yao, Yuan The landscape of complex networks – critical nodes and a hierarchical decomposition. (English) Zbl 1298.55012 Methods Appl. Anal. 20, No. 4, 383-404 (2013). Reviewer: Jonathan Hodgson (Swarthmore) MSC: 55U99 68U05 62-07 62P35 92C99 PDFBibTeX XMLCite \textit{W. E} et al., Methods Appl. Anal. 20, No. 4, 383--404 (2013; Zbl 1298.55012) Full Text: DOI
Knill, Oliver A Brouwer fixed-point theorem for graph endomorphisms. (English) Zbl 1296.05136 Fixed Point Theory Appl. 2013, Paper No. 85, 24 p. (2013). MSC: 05C60 58J20 47H10 37C25 05C80 05C82 05C10 90B15 57M15 55M20 PDFBibTeX XMLCite \textit{O. Knill}, Fixed Point Theory Appl. 2013, Paper No. 85, 24 p. (2013; Zbl 1296.05136) Full Text: DOI arXiv Backlinks: MO
Lugojan, Sorin Homological analysis of a cube network. (English) Zbl 1413.55012 Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 57(71), No. 1, 10-20 (2012). MSC: 55U10 68R10 68T40 PDFBibTeX XMLCite \textit{S. Lugojan}, Bul. Științ. Univ. Politeh. Timiș., Ser. Mat.-Fiz. 57(71), No. 1, 10--20 (2012; Zbl 1413.55012)
Brkić, Dejan Gas distribution network topology problem. (English) Zbl 1294.76204 Math. Balk., New Ser. 26, No. 3-4, 277-284 (2012). MSC: 76M25 55U05 PDFBibTeX XMLCite \textit{D. Brkić}, Math. Balk., New Ser. 26, No. 3--4, 277--284 (2012; Zbl 1294.76204)
Dłotko, P.; Ghrist, R.; Juda, M.; Mrozek, M. Distributed computation of coverage in sensor networks by homological methods. (English) Zbl 1300.55001 Appl. Algebra Eng. Commun. Comput. 23, No. 1-2, 29-58 (2012). Reviewer: Andreiy Kondrat’yev (Birmingham/AL) MSC: 55-04 55N99 52B99 PDFBibTeX XMLCite \textit{P. Dłotko} et al., Appl. Algebra Eng. Commun. Comput. 23, No. 1--2, 29--58 (2012; Zbl 1300.55001) Full Text: DOI
Han, Sang-Eon; Chun, Woo-Jik Arrangement of elements of locally finite topological spaces up to an ALF-homeomorphism. (English) Zbl 1238.54003 Honam Math. J. 33, No. 4, 617-628 (2011). MSC: 54A10 54C05 55R15 54C08 54F65 68U05 68U10 PDFBibTeX XMLCite \textit{S.-E. Han} and \textit{W.-J. Chun}, Honam Math. J. 33, No. 4, 617--628 (2011; Zbl 1238.54003) Full Text: DOI Link
Baryshnikov, Yuliy; Ghrist, Robert Target enumeration via Euler characteristic integrals. (English) Zbl 1190.90041 SIAM J. Appl. Math. 70, No. 3, 825-844 (2009). MSC: 90B18 55N30 PDFBibTeX XMLCite \textit{Y. Baryshnikov} and \textit{R. Ghrist}, SIAM J. Appl. Math. 70, No. 3, 825--844 (2009; Zbl 1190.90041) Full Text: DOI Link
Grandis, Marco Directed algebraic topology. Models of non-reversible worlds. (English) Zbl 1176.55001 New Mathematical Monographs 13. Cambridge: Cambridge University Press (ISBN 978-0-521-76036-2/hbk). ix, 434 p. (2009). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 55-01 55U35 18D05 68Q85 PDFBibTeX XMLCite \textit{M. Grandis}, Directed algebraic topology. Models of non-reversible worlds. Cambridge: Cambridge University Press (2009; Zbl 1176.55001)
Ghrist, Robert Winding numbers for networks with weak angular data. (English) Zbl 1143.68325 Farber, M. (ed.) et al., Topology and robotics. Results of the workshop, FIM, ETH Zurich, Switzerland, July 10–14, 2006. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4246-1/pbk). Contemporary Mathematics 438, 1-18 (2007). MSC: 68M10 55M35 68R10 PDFBibTeX XMLCite \textit{R. Ghrist}, Contemp. Math. 438, 1--18 (2007; Zbl 1143.68325)
de Silva, Vin; Ghrist, Robert Coverage in sensor networks via persistent homology. (English) Zbl 1134.55003 Algebr. Geom. Topol. 7, 339-358 (2007). Reviewer: Philippe Gaucher (Paris) MSC: 55M25 93A15 55N35 90B18 PDFBibTeX XMLCite \textit{V. de Silva} and \textit{R. Ghrist}, Algebr. Geom. Topol. 7, 339--358 (2007; Zbl 1134.55003) Full Text: DOI
Sellers, Peter H. Combinatorial aspects of enzyme kinetics. (English) Zbl 0719.92012 Applications of combinatorics and graph theory to biological and social sciences, Proc. Workshop 1987-88, IMA Vol. Math. Appl. 17, 295-314 (1989). Reviewer: D.Dorninger (Wien) MSC: 92C45 92E10 55U15 80A30 05C65 PDFBibTeX XML
Kerner, R. Differential geometrical approach to the theory of amorphous solids. (English) Zbl 0582.73009 Differential geometric methods in mathematical physics, Proc. Int. Conf., Clausthal/Ger. 1983, Lect. Notes Math. 1139, 311-327 (1985). Reviewer: S.Minagawa MSC: 74A40 55R10 53C80 74A99 PDFBibTeX XML
Blackett, Donald W. Elementary topology. A combinatorial and algebraic approach. Repr. with corr. (English) Zbl 0537.57001 London etc.: Academic Press. A Subsidiary of Harcourt Brace Jovanovich, Publishers. IX, 224 p. $ 22.00 (1982). Reviewer: H.B.Griffiths MSC: 57-01 57N05 55M20 55M25 30F10 30F15 57R70 34C40 57R25 90B10 12E12 PDFBibTeX XML
Garcia, C. B.; Zangwill, W. I. Pathways to solutions, fixed points, and equilibria. (English) Zbl 0512.90070 Prentice-Hall Series in Computational Mathematics. Englewood Cliffs, New Jersey: Prentice-Hall, Inc. XV, 479 p. $ 43.95 (1981). MSC: 90Cxx 91B50 90-02 65H10 65K05 54H25 55P10 58K35 58C30 58E17 49M37 PDFBibTeX XML
Bolker, Ethan D. Simplicial geometry and transportation polytopes. (English) Zbl 0322.55033 Trans. Am. Math. Soc. 217, 121-142 (1976). MSC: 55U99 05B35 05C30 90B10 PDFBibTeX XMLCite \textit{E. D. Bolker}, Trans. Am. Math. Soc. 217, 121--142 (1976; Zbl 0322.55033) Full Text: DOI