6 citations · 10 across the 5 of their papers we have counts for
5 papers
Some Remarks on Ideals with large Regularity and Regularity Jumps
Keivan Borna, Abolfazl Mohajer
This paper exhibits some new examples of the behavior of the Castelnuovo-Mumford regularity of homogeneous ideals in polynomial rings. More precisely, we present new examples of ho…
An improved genetic algorithm with a local optimization strategy and an extra mutation level for solving traveling salesman problem
Keivan Borna, Vahid Haji Hashemi
The Traveling salesman problem (TSP) is proved to be NP-complete in most cases. The genetic algorithm (GA) is one of the most useful algorithms for solving this problem. In this pa…
Ideals Whose First Two Betti Numbers are Close
Keivan Borna, S. H. Hassanzadeh
For an ideal of a Noetherian local ring $(R,\fm,k)$ we show that $\bt_1^R(I)-\bt_0^R(I)\geq -1$. It is demonstrated that some residual intersections of an ideal for which $…
Rings that are homologically of minimal multiplicity
Keivan Borna, Sean Sather-Wagstaff, Siamak Yassemi
Let R be a local Cohen-Macaulay ring with canonical module ω_R. We investigate the following question of Huneke: If the sequence of Betti numbers \{β_i^R(ω_R)\} has polynomial grow…
On linear resolution of powers of an ideal
Keivan Borna
In this paper we give a generalization of a result of Herzog, Hibi, and Zheng providing an upper bound for regularity of powers of an ideal. As the main result of the paper, we giv…