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.
Veronese bi-type ideals, graph ideals, ideals of vertex covers
IMBESI, MAURIZIO and BARBIERA, MONICA LA
"On algebraic properties of Veronese bi-type ideals arising from graphs,"
Turkish Journal of Mathematics: Vol. 40:
4, Article 4.
Available at: https://journals.tubitak.gov.tr/math/vol40/iss4/4