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Weighted Path homology of Weighted Digraphs and Persistence by Lin, Yong; Ren, Shiquan; Wang, Chong; Wu, Jie is a scholarly article available to read on EtoBox.

What is Weighted Path homology of Weighted Digraphs and Persistence about?

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 persistent path homology for directed networks. In this paper, we generalize the path homology theory for digraphs and construct a weighted path homology for weighted digraphs. We study the persistent weighted path homology for weighted digraphs and detect the effects of the weights on the persistent weighted path homology. We prove a persistent version of a Kunneth-type formula for joins of weighted digraphs.

Author

Lin, Yong; Ren, Shiquan; Wang, Chong; Wu, Jie

Published

2019

Language

EN