Weakly polymatroidal ideals with applications to vertex cover ideals
Mohammadi, Fatemeh ; Moradi, Somayeh
Osaka J. Math., Volume 47 (2010) no. 1, p. 627-636 / Harvested from Project Euclid
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In this paper we extend the concept of weakly polymatroidal ideals to monomial ideals which are not necessarily generated in one degree, and show that any ideal in this class has linear quotients. As an application we study some vertex cover ideals of weighted hypergraphs.
Published online : 2010-09-15
Classification:  13D02,  13P10,  16E05 
@article{1285334469,
     author = {Mohammadi, Fatemeh and Moradi, Somayeh},
     title = {Weakly polymatroidal ideals with applications to vertex cover ideals},
     journal = {Osaka J. Math.},
     volume = {47},
     number = {1},
     year = {2010},
     pages = { 627-636},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1285334469}
}

Mohammadi, Fatemeh; Moradi, Somayeh. Weakly polymatroidal ideals with applications to vertex cover ideals. Osaka J. Math., Volume 47 (2010) no. 1, pp.  627-636. http://gdmltest.u-ga.fr/item/1285334469/