Abstract:
Let G be a graph such that none of its components is bipartite. We describe the facets of the cone generated by the columns of the incidence matrix of G. Let k[G] be the subring generated by the monomials of degree two defining the edges of G, where k is a field. Some estimates for the a-invariant of k[G] are shown when G is the cone of a normal connected non bipartite graph or G is the join of two normal connected non bipartite graphs.
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Received: 24 July 1997 / Revised version: 3 March 1998
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Villarreal, R. On the equations of the edge cone of a graph¶and some applications. manuscripta math. 97, 309–317 (1998). https://doi.org/10.1007/s002290050103
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DOI: https://doi.org/10.1007/s002290050103