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math.AT2019★ 4 cited
Weighted Path homology of Weighted Digraphs and Persistence
Yong Lin, Shiquan Ren, Chong Wang +1
In recent years, A. Grigor'yan, Y. Lin, Y. Muranov and S.T. Yau [6, 7, 8, 9] constructed a path homology theory for digraphs. Later, S. Chowdhury and F. Memoli [3] studied the pers…
math.AT2014★ 6 cited
Homotopy theory for digraphs
Alexander Grigor'yan, Yong Lin, Yuri Muranov +1
We introduce a homotopy theory of digraphs (directed graphs) and prove its basic properties, including the relations to the homology theory of digraphs constructed by the authors i…