On algebraic properties of Veronese bi-type ideals arising from graphs

Authors: MAURIZIO IMBESI, MONICA LA BARBIERA

Abstract: Some algebraic properties of the ideals of Veronese bi-type arising from graphs with loops are studied. More precisely, the property of these ideals to be bi-polymatroidal is discussed. Moreover, we are able to determine the structure of the ideals of vertex covers for such generalized graph ideals.

Keywords: Veronese bi-type ideals, graph ideals, ideals of vertex covers

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