Zobrazeno 1 - 10
of 177
pro vyhledávání: '"Selvaraja, S."'
Autor:
Selvaraja, S., Skelton, Joseph W.
Let $G$ be a finite simple graph and $J(G)$ denote its vertex cover ideal in a polynomial ring over a field. % $\mathbb{K}$. The $k$-th symbolic power of $J(G)$ is denoted by $J(G)^{(k)}$. In this paper, we give a criteria for cover ideals of vertex
Externí odkaz:
http://arxiv.org/abs/2107.00739
Optical cavities find diverse uses in lasers, frequency combs, optomechanics, and optical signal processors. Complete reconfigurability of the resonant frequency as well as the loss enables development of generic field programmable cavities for achie
Externí odkaz:
http://arxiv.org/abs/2106.12899
Let $\mathcal{D}$ be a weighted oriented graph and $I(\mathcal{D})$ be its edge ideal. In this paper, we show that all the symbolic and ordinary powers of $I(\mathcal{D})$ coincide when $\mathcal{D}$ is a weighted oriented certain class of tree. Fina
Externí odkaz:
http://arxiv.org/abs/2105.14605
Autor:
Selvaraja, S
Let $G$ be a finite simple graph and $J(G)$ denote its cover ideal in a polynomial ring over a field $\mathbb{K}$. In this paper, we show that all symbolic powers of cover ideals of certain vertex decomposable graphs have linear quotients. Using thes
Externí odkaz:
http://arxiv.org/abs/1908.10576
Let $I$ and $J$ be edge ideals in a polynomial ring $R = \mathbb{K}[x_1,\ldots,x_n]$ with $I \subseteq J$. In this paper, we obtain a general upper and lower bound for the Castelnuovo-Mumford regularity of $IJ$ in terms of certain invariants associat
Externí odkaz:
http://arxiv.org/abs/1908.10573
Autor:
Kumar, Arvind, Selvaraja, S
Let $G$ be a finite simple graph and $I(G)$ denote the corresponding edge ideal in a polynomial ring over a field $\mathbb{K}$. In this paper, we obtain upper bounds for the Castelnuovo-Mumford regularity of symbolic powers of certain classes of edge
Externí odkaz:
http://arxiv.org/abs/1907.05366
Publikováno v:
Acta Math. Vietnam. (2021)
In this paper, we compute the regularity and Hilbert series of symbolic powers of the cover ideal of a graph $G$ when $G$ is either a crown graph or a complete multipartite graph. We also compute the multiplicity of symbolic powers of cover ideals in
Externí odkaz:
http://arxiv.org/abs/1903.00178
Let $ X $ be an $ m \times n $ matrix of distinct indeterminates over a field $ K $, where $ m \le n $. Set the polynomial ring $K[X] := K[X_{ij} : 1 \le i \le m, 1 \le j \le n] $. Let $ 1 \le k < l \le n $ be such that $ l - k + 1 \ge m $. Consider
Externí odkaz:
http://arxiv.org/abs/1902.09748
Autor:
Jayanthan, A. V., Selvaraja, S.
Let $G$ be a finite simple graph and $I(G)$ denote the corresponding edge ideal. In this paper, we obtain upper bounds for the Castelnuovo-Mumford regularity of $I(G)^q$ in terms of certain combinatorial invariants associated with $G$. We also prove
Externí odkaz:
http://arxiv.org/abs/1805.01412
We present a scheme for on-chip optical transduction of strain and displacement of Graphene-based Nano-Electro-Mechanical Systems (NEMS). A detailed numerical study on the feasibility of three silicon-photonic integrated circuit configurations is pre
Externí odkaz:
http://arxiv.org/abs/1801.00928