Algebraic and geometric aspects of bipartite planar graphs
Commutative Algebra
2024-04-01 v2
Abstract
Let B_{2t} be a bipartite planar graph with an even number of regions. We are able to find bounds for the graded Betti numbers and the projective dimension of the quotient ring associated to the graph. We also will investigate the minimal vertex covers and the maximum matchings related to such a graph.
Keywords
Cite
@article{arxiv.1211.6555,
title = {Algebraic and geometric aspects of bipartite planar graphs},
author = {Maurizio Imbesi and Monica La Barbiera},
journal= {arXiv preprint arXiv:1211.6555},
year = {2024}
}
Comments
14 pages, 7 figures