Zobrazeno 1 - 10
of 1 242
pro vyhledávání: '"Cheon, Gi"'
Publikováno v:
Linear Algebra and its Applications, 703: 27--46, 2024
This paper is a follow-up to the paper [Matrix periods and competition periods of Boolean Toeplitz matrices, {\it Linear Algebra Appl.} 672:228--250, (2023)]. Given subsets $S$ and $T$ of $\{1,\ldots,n-1\}$, an $n\times n$ Toeplitz matrix $A=T_n\lang
Externí odkaz:
http://arxiv.org/abs/2406.11113
A partial order $\prec$ on $[n]$ is naturally labelled (NL) if $x\prec y$ implies $x
Externí odkaz:
http://arxiv.org/abs/2311.08023
In this paper, we study row graphs of Toeplitz matrices. The notion of row graphs was introduced by Greenberg et al. in 1984 and is closely related to the notion of competition graphs, which has been extensively studied since Cohen had introduced it
Externí odkaz:
http://arxiv.org/abs/2305.02690
Given a Sheffer sequence of polynomials, we introduce the notion of an associated sequence called the cognate sequence. We study the relationship between the zeros of this pair of associated sequences and show that in case of an Appell sequence, as w
Externí odkaz:
http://arxiv.org/abs/2301.04726
Publikováno v:
Linear Algebra and its Applications, 672: 228--250, 2023
In this paper, we study the matrix period and the competition period of Toeplitz matrices over a binary Boolean ring $\mathbb{B} = \{0,1\}$. Given subsets $S$ and $T$ of $\{1,\ldots,n-1\}$, an $n\times n$ Toeplitz matrix $A=T_n\langle S ; T \rangle$
Externí odkaz:
http://arxiv.org/abs/2208.13652
We present combinatorial and analytical results concerning a Sheffer sequence with an exponential generating function of the form $G(s,z)=e^{czs+\alpha z^{2}+\beta z^{4}}$, where $\alpha, \beta, c \in \mathbb{R}$ with $\beta<0$ and $c\neq 0$. We demo
Externí odkaz:
http://arxiv.org/abs/2205.15471
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 November 2024 539(1) Part 1
A Toeplitz graph $T_n \langle t_1,t_2,\ldots,t_k\rangle$ is a simple graph with the vertex set $[n]$ such that two vertices $v$ and $w$ are adjacent if and only if $|v-w| = t_i$ for some $i \in [k]$. In this paper, we investigate line Toeplitz graphs
Externí odkaz:
http://arxiv.org/abs/2201.05317
In this paper, we study structural properties of Toeplitz graphs. We characterize $K_q$-free Toeplitz graphs for an integer $q \ge 3$ and give equivalent conditions for a Toeplitz graph $G_n\langle t_1, t_2,\ldots, t_k\rangle$ with $t_1<\cdots
Externí odkaz:
http://arxiv.org/abs/2112.14371