On the Hilbert function of vertex cover algebras of Cohen-Macaulay bipartite graphs

  • Cristian Ion Dunarea de Jos University of Galati
DOI: https://doi.org/10.35219/ann-ugal-math-phys-mec.2022.2.02
Keywords: vertex cover algebra, Cohen-Macaulay bipartite graph, simplicial complex, h-vector, Hilbert function

Abstract

We study the h−vector and the Hilbert function of the vertex cover algebra (A)G, introduced and first studied by J. Herzog, T. Hibi and N. V. Trung ([6]), for a special class of bipartite graphs, namely for Cohen-Macaulay bipartite graphs.

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Published
2022-12-12
How to Cite
Ion, C. (2022) “On the Hilbert function of vertex cover algebras of Cohen-Macaulay bipartite graphs”, Analele Universității ”Dunărea de Jos” din Galați. Fascicula II, Matematică, fizică, mecanică teoretică / Annals of the ”Dunarea de Jos” University of Galati. Fascicle II, Mathematics, Physics, Theoretical Mechanics, 45(2), pp. 43-52. doi: https://doi.org/10.35219/ann-ugal-math-phys-mec.2022.2.02.
Issue
Vol 45 No 2 (2022): Volume dedicated to the memory of Assoc. prof. dr. math. Mihaela Baroni (1964-2022),
Department of Mathematics and Informatics, Faculty of Sciences and Environment
Section
Articles