Combinatorial and topological aspects of path posets, and multipath cohomology
نویسندگان
چکیده
Abstract Multipath cohomology is a theory for directed graphs, which defined using the path poset. The aim of this paper to investigate combinatorial properties posets and provide computational tools multipath cohomology. In particular, we develop acyclicity criteria computations groups oriented linear graphs. We further interpret poset as face simplicial complex, realisability problems.
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ژورنال
عنوان ژورنال: Journal of Algebraic Combinatorics
سال: 2022
ISSN: ['0925-9899', '1572-9192']
DOI: https://doi.org/10.1007/s10801-022-01180-9