Document Type
Article
Publication Date
2023
Journal Title
The Electronic Journal of Combinatorics
Volume Number
30
Issue Number
1
Version
Publisher PDF: the final published version of the article, with professional formatting and typesetting
Creative Commons License
This work is licensed under a CC BY License.
Disciplines
Mathematics
Abstract
The matching complex M (G) of a graph G is the set of all matchings in G. A
Buchsbaum simplicial complex is a generalization of both a homology manifold and
a Cohen–Macaulay complex. We give a complete characterization of the graphs G
for which M (G) is a two-dimensional Buchsbaum complex. As an intermediate step,
we determine which graphs have matching complexes that are themselves connected
graphs.
Digital USD Citation
Goeckner, Bennet; Herr, Fran; Jones, Legrand; and Rowlands, Rowan, "A Characterization of Two-Dimensional Buchsbaum Matching Complexes" (2023). Mathematics: Faculty Scholarship. 7.
https://digital.sandiego.edu/mathematics-faculty/7