Homotopic morphisms between weighted digraphs

Chong Wang; Chong Wang

doi:10.3934/math.20231328

AIMS Mathematics

2023, Volume 8, Issue 11: 26070-26080. doi: 10.3934/math.20231328

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Research article

Homotopic morphisms between weighted digraphs

Chong Wang ^,

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

Received: 02 January 2023 Revised: 28 April 2023 Accepted: 07 May 2023 Published: 11 September 2023
MSC : 05C20, 55P10

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.
- weighted digraph,
- weighted path homology,
- cartesian product,
- one-step homotopic
Citation: Chong Wang. Homotopic morphisms between weighted digraphs[J]. AIMS Mathematics, 2023, 8(11): 26070-26080. doi: 10.3934/math.20231328

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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.

References

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