Muranov, Yu. V.; Jimenez, R. Homology of transitive digraphs and discrete spaces. (English. Russian original) Zbl 07787668 Sb. Math. 214, No. 8, 1121-1139 (2023); translation from Mat. Sb. 214, No. 8, 74-93 (2023). MSC: 18G85 05C20 05C38 55N10 55N35 PDFBibTeX XMLCite \textit{Yu. V. Muranov} and \textit{R. Jimenez}, Sb. Math. 214, No. 8, 1121--1139 (2023; Zbl 07787668); translation from Mat. Sb. 214, No. 8, 74--93 (2023) Full Text: DOI MNR
Bergomi, Mattia G.; Ferri, Massimo; Tavaglione, Antonella Steady and ranging sets in graph persistence. (English) Zbl 07700997 J. Appl. Comput. Topol. 7, No. 1, 33-56 (2023). MSC: 55N31 05C10 05C22 68R10 PDFBibTeX XMLCite \textit{M. G. Bergomi} et al., J. Appl. Comput. Topol. 7, No. 1, 33--56 (2023; Zbl 07700997) Full Text: DOI arXiv
Muranov, Yuri; Szczepkowska, Anna; Vershinin, Vladimir Homology of weighted path complexes and directed hypergraphs. (English) Zbl 1515.18012 Port. Math. 80, No. 1-2, 67-80 (2023). Reviewer: Daniel Graves (Leeds) MSC: 18G90 55N35 05C20 05C22 05C25 05C65 55U05 PDFBibTeX XMLCite \textit{Y. Muranov} et al., Port. Math. 80, No. 1--2, 67--80 (2023; Zbl 1515.18012) Full Text: DOI arXiv
Grigor’yan, Alexander; Muranov, Yuri On homology theories of cubical digraphs. (English) Zbl 1527.55008 Pac. J. Math. 322, No. 1, 39-58 (2023). Reviewer: Marek Golasiński (Olsztyn) MSC: 55N35 05C25 18G85 55N10 PDFBibTeX XMLCite \textit{A. Grigor'yan} and \textit{Y. Muranov}, Pac. J. Math. 322, No. 1, 39--58 (2023; Zbl 1527.55008) Full Text: DOI
Grigor’yan, Alexander Advances in path homology theory of digraphs. (English) Zbl 1509.05081 ICCM Not. 10, No. 2, 61-124 (2022). MSC: 05C20 05C38 55N99 PDFBibTeX XMLCite \textit{A. Grigor'yan}, ICCM Not. 10, No. 2, 61--124 (2022; Zbl 1509.05081) Full Text: DOI
Muranov, Yuri; Szczepkowska, Anna; Vershinin, Vladimir Path homology of directed hypergraphs. (English) Zbl 1511.55009 Homology Homotopy Appl. 24, No. 2, 347-363 (2022). Reviewer: Philippe Gaucher (Paris) MSC: 55N35 05C20 05C22 05C25 05C65 55U05 PDFBibTeX XMLCite \textit{Y. Muranov} et al., Homology Homotopy Appl. 24, No. 2, 347--363 (2022; Zbl 1511.55009) Full Text: DOI arXiv
Muranov, Yu. V. Alexandroff homology and path homology. (English. Russian original) Zbl 1497.55011 Math. Notes 112, No. 1, 159-162 (2022); translation from Mat. Zametki 112, No. 1, 148-152 (2022). MSC: 55N35 57M15 05C20 PDFBibTeX XMLCite \textit{Yu. V. Muranov}, Math. Notes 112, No. 1, 159--162 (2022; Zbl 1497.55011); translation from Mat. Zametki 112, No. 1, 148--152 (2022) Full Text: DOI
Govc, Dejan; Levi, Ran; Smith, Jason P. Complexes of tournaments, directionality filtrations and persistent homology. (English) Zbl 1494.55022 J. Appl. Comput. Topol. 5, No. 2, 313-337 (2021). Reviewer: Henri Riihimäki (Stockholm) MSC: 55U10 55N31 05E45 05C20 92C20 PDFBibTeX XMLCite \textit{D. Govc} et al., J. Appl. Comput. Topol. 5, No. 2, 313--337 (2021; Zbl 1494.55022) Full Text: DOI arXiv
Wang, Chong; Ren, Shiquan; Lin, Yong Persistent homology of vertex-weighted digraphs. (English) Zbl 1474.55003 Adv. Math., Beijing 49, No. 6, 737-755 (2020). MSC: 55N31 05C20 05C22 PDFBibTeX XMLCite \textit{C. Wang} et al., Adv. Math., Beijing 49, No. 6, 737--755 (2020; Zbl 1474.55003)
Grigor’yan, Alexander; Muranov, Yuri; Vershinin, Vladimir; Yau, Shing-Tung Path homology theory of multigraphs and quivers. (English) Zbl 1404.55010 Forum Math. 30, No. 5, 1319-1337 (2018). Reviewer: Shiquan Ren (Singapore) MSC: 55N35 18G60 55U10 57M15 05C25 05C38 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., Forum Math. 30, No. 5, 1319--1337 (2018; Zbl 1404.55010) Full Text: DOI Link
Grigor’yan, Alexander; Muranov, Yuri; Yau, Shing-Tung On a cohomology of digraphs and Hochschild cohomology. (English) Zbl 1353.05056 J. Homotopy Relat. Struct. 11, No. 2, 209-230 (2016). MSC: 05C20 05E45 55Q99 55U10 13D03 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., J. Homotopy Relat. Struct. 11, No. 2, 209--230 (2016; Zbl 1353.05056) Full Text: DOI
Huang, An; Yau, Shing-Tung On cohomology theory of (di)graphs. (English) Zbl 1331.05095 Homology Homotopy Appl. 17, No. 2, 383-398 (2015). MSC: 05C20 05C10 55P65 PDFBibTeX XMLCite \textit{A. Huang} and \textit{S.-T. Yau}, Homology Homotopy Appl. 17, No. 2, 383--398 (2015; Zbl 1331.05095) Full Text: DOI arXiv
Grigor’yan, Alexander; Lin, Yong; Muranov, Yuri; Yau, Shing-Tung Cohomology of digraphs and (undirected) graphs. (English) Zbl 1329.05132 Asian J. Math. 19, No. 5, 887-931 (2015). MSC: 05C20 05C25 05C38 16E45 18G35 18G60 55N35 55U10 57M15 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., Asian J. Math. 19, No. 5, 887--931 (2015; Zbl 1329.05132) Full Text: DOI
Grigor’yan, A.; Muranov, Yu. V.; Yau, Shing-Tung Graphs associated with simplicial complexes. (English) Zbl 1297.05269 Homology Homotopy Appl. 16, No. 1, 295-311 (2014). MSC: 05E45 05C25 05C20 18G60 52C99 55U10 57M15 PDFBibTeX XMLCite \textit{A. Grigor'yan} et al., Homology Homotopy Appl. 16, No. 1, 295--311 (2014; Zbl 1297.05269) Full Text: DOI Euclid
Guido, Cosimo First regular homotopy group of finite oriented graphs. (Italian) Zbl 0524.55012 Atti Accad. Sci. Lett. Arti Palermo, IV. Ser., Parte I 39(1982), 197-207 (1980). MSC: 55Q70 55Q05 05C99 PDFBibTeX XMLCite \textit{C. Guido}, Atti Accad. Sci. Lett. Arti Palermo, IV. Ser., Parte I 39, 197--207 (1980; Zbl 0524.55012)