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). Summary: In this paper, we review the homology introduced in a literature, discuss the effects of the weights on the persistent weighted path homology and prove a persistent version of the Künneth formula for joins of vertex-weighted digraphs. MSC: 55N31 Persistent homology and applications, topological data analysis 05C20 Directed graphs (digraphs), tournaments 05C22 Signed and weighted graphs Keywords:digraph; weighted path homology; persistent weighted path homology; Künneth formula PDFBibTeX XMLCite \textit{C. Wang} et al., Adv. Math., Beijing 49, No. 6, 737--755 (2020; Zbl 1474.55003)