the non commuting graph of a non-abelian finite group $g$ is defined as follows: its vertex set is $g-z(g)$ and two distinct vertices $x$ and $y$ are joined by an edge if and only if the commutator of $x$ and $y$ is not the identity. in this paper we prove some new results about this graph. in particular we will give a new proof of theorem 3.24 of [2]. we also prove that if $g_1$, $g_2$, ..., $...

This work leverages globally consistent data on parks from Google Maps, in combination with the computational power of Maps Directions API to quantify accessibility across nearly 500 metropolitan areas six countries: Estonia, France, Greece, Mexico, Sweden, and United States. We combined high resolution population Worldpop navigation estimates measure: (1) Fraction access within a 10-minute wal...

Let $G$ be a countable monoid and let $A$ an Artinian group (resp. module). $\Sigma \subset A^G$ closed subshift which is also subgroup submodule) of $A^G$. Suppose that $\Gamma$ finitely generated consisting pairwise commuting cellular automata \to \Sigma$ are homomorphisms groups modules) with binary operation given by composition maps. We show the valuation action on $\Sigma$ satisfies natur...

We introduce the notion of commuting regular Γsemiring and discuss some properties of commuting regular Γsemiring. We also obtain a necessary and sufficient condition for Γ-semiring to possess commuting regularity. Keywords—Commutative Γ-semiring, Idempotent Γ-semiring, Rectangular Γ-band, Commuting regular Γ-semiring, Clifford Γsemiring.

This paper focuses on regional variations in commuting trip lengths by calculating minimum (required) commuting distances, along with excess commuting rates. The study contributes to the excess commuting research framework from a regional perspective, both by stressing the specific characteristics of urban networks with overlapping commute areas, and by putting forward an alternative method for...

UNLABELLED This questionnaire study tests cognitive failures as a mediator of the potential influence of mental work demands and conscientiousness on risky commuting. Participants were 104 railway-controllers (19% female). Failure of memory, attention regulation and action execution were assessed with the Workplace Cognitive Failure (WCF) scale. Mental work demands were measured by the Instrume...

We define four 3×3 commuting contractions which do not dilate to commuting isometries. However they do satisfy the scalar von Neumann inequality. These matrices are all nilpotent of order 2. We also show that any three 3×3 commuting contractions which are scalar plus nilpotent of order 2 do dilate to commuting isometries.

The aim of this study was to verify the prevalence of physical inactivity and associated factors among adolescents commuting to school. This was an epidemiological study based on secondary data from a sample of 4,207 adolescents (14-19 years). Data were collected through a previously validated questionnaire (GSHS-WHO). Adolescents were classified as "inactive in commuting" when they reported no...

The study of quantum circuits composed of commuting gates is particularly useful to understand the delicate boundary between quantum and classical computation. Indeed, while being a restricted class, commuting circuits exhibit genuine quantum effects such as entanglement. In this paper we show that the computational power of commuting circuits exhibits a surprisingly rich structure. First we sh...