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

Maurizio Imbesi | Zendy; Monica La Barbiera | Zendy

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

Author(s) -

Maurizio Imbesi,

Monica La Barbiera

Publication year - 2016

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1505-49

Subject(s) - mathematics , vertex (graph theory) , algebraic number , type (biology) , property (philosophy) , algebraic properties , graph , pure mathematics , discrete mathematics , combinatorics , mathematical analysis , ecology , philosophy , epistemology , biology

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.

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