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- W4288804835 abstract "In this paper, we determine the homotopy type of the Morse complex and matching complex of multiple families of complexes by utilizing star cluster collapses and the Cluster Lemma. We compute the homotopy type of the Morse complex of an extended notion of a star graph, as well as the homotopy type of the matching complex of a Dutch windmill graph. Additionally, we provide alternate computations of the homotopy type of the Morse complex of paths, the homotopy type of the matching complex of paths, and the homotopy type of the matching complex of cycles. We then use this same method of computing homotopy types to investigate the relationship between the homotopy type of the matching complex and the generalized Morse complex." @default.
- W4288804835 created "2022-07-30" @default.
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- W4288804835 date "2022-07-27" @default.
- W4288804835 modified "2023-09-29" @default.
- W4288804835 title "Star clusters in the Matching, Morse, and Generalized Morse complex" @default.
- W4288804835 doi "https://doi.org/10.48550/arxiv.2207.13780" @default.
- W4288804835 hasPublicationYear "2022" @default.
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