3 citations · 4 across the 9 of their papers we have counts for
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The -number of Certain Hyperelliptic Curves
Vahid Nourozi, Farhad Rahmati, Saeed Tafazolian
In this paper, we compute a formula for the -number of certain hyperelliptic curves given by the equation for infinitely many values of . The same question is st…
Lyubeznik Tables of Ideals of Cycle Graphs
Parvaneh Nadi, Farhad Rahmati, Majid Eghbali
Let R = K[x_1; : : : ; x_n] be a polynomial ring over a field K, and I := I_C_n be an edge ideal of n-cycle graph C_n. In the present paper, we compute the last column of the Lyube…
On the relation between formal grade and depth with a view toward vanishing of Lyubeznik numbers
Kh. Ahmadi-Amoli, E. Banisaeed, M. Eghbali +1
Let $(R,\fm)$ be a local ring and an ideal. The aim of the present paper is twofold. At first we continue the investigation to compare $\fgrade(I,R)$ with $\depth R/I$ and furt…
Shellable and Cohen-Macaulay complete t-partite graphs
Seyyede Masoome Seyyedi, Farhad Rahmati, Mahdis Saeedi
Let G be a simple undirected graph. We find the number of maximal independent sets in complete t-partite graphs. We will show that vertex decomposability and shellability are equiv…
Toricness of Binomial Edge Ideals
Mahdis Saeedi, Farhad Rahmati, Seyyede Masoome Seyyedi
Let G be a finite simple graph. In this paper we will show that the binomial edge ideal of G, JG is toric if and only if each connected component of G is complete and in this case…
Squarefree vertex cover algebras
Shamila Bayati, Farhad Rahmati
In this paper we introduce squarefree vertex cover algebras. We study the question when these algebras coincide with the ordinary vertex cover algebras and when these algebras are…