9 papers
Multiplicity of negative one of independence polynomials of graphs
Om Prakash Bhardwaj, Trung Chau, Sayeed Ikram +3
We initiate the study of the multiplicity of negative one of independence polynomials of graphs. In this article, we simply refer to this as the \emph{multiplicity} of a graph. As…
Simis and packing properties of Alexander dual of connected ideals
Om Prakash Bhardwaj, Kanoy Kumar Das, Rutuja Sawant
In this article, we investigate when the ordinary and symbolic powers of the Alexander dual of connected ideals of graphs coincide, and provide a complete classification of all suc…
On licci squarefree monomial ideals
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squa…
Projective monomial curves associated to numerical semigroups with multiplicity , width , and embedding dimension
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
Numerical semigroups with multiplicity , width , and embedding dimension are of the form $$S(e,m,n) = \langle \{e, e+1, \ldots, 2e-1\} \setminus \{e+m, e+n\} \rangle,…
Buchsbaumness of finite complement simplicial affine semigroups
Om Prakash Bhardwaj, Carmelo Cisto
In this article, we classify all Buchsbaum simplicial affine semigroups whose complement in their (integer) rational polyhedral cone is finite. We show that such a semigroup is Buc…
Symmetric generalized numerical semigroups in with embedding dimension
Om Prakash Bhardwaj, Carmelo Cisto
In this article, we classify all symmetric generalized numerical semigroups in of embedding dimension . Consequently, we show that in this case the property of…