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Research Article | Open Access

Homotopic morphisms between weighted digraphs

Department of Mathematics and Statistics, Cangzhou Normal University, 061000, China
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Abstract

In this paper, we consider weighted digraphs and prove that homotopic morphisms between weighted digraphs induce the identical homomorphisms on weighted path homology groups with field coefficients.

Keywords

weighted digraphweighted path homologycartesian productone-step homotopic
CLC number: 05C20, 55P10

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26070-26080
DOI: 10.3934/math.20231328

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Wang C. Homotopic morphisms between weighted digraphs. AIMS Mathematics, 2023, 8(11): 26070-26080. https://doi.org/10.3934/math.20231328

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Received: 02 January 2023
Revised: 28 April 2023
Accepted: 07 May 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)