The toric ideal of a graph formed by odd cycles sharing a vertex is geometrically vertex decomposable, recovering the known h-polynomial formula and giving the Castelnuovo-Mumford regularity.
Cohen–Macaulay rings , volume 39 of Cambridge Studies in Advanced Mathematics
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The $h$-vectors of toric ideals of odd cycle compositions revisited
The toric ideal of a graph formed by odd cycles sharing a vertex is geometrically vertex decomposable, recovering the known h-polynomial formula and giving the Castelnuovo-Mumford regularity.