a kernel $j$ of a digraph $d$ is an independent set of vertices of $d$ such that for every vertex $w,in,v(d),setminus,j$ there exists an arc from $w$ to a vertex in $j.$in this paper, among other results, a characterization of $2$-regular circulant digraph having a kernel is obtained. this characterization is a partial solution to the following problem: characterize circulant digraphs which hav...

almond (prunus dulcis [webb] d.a. mill) is an economically important species of genus prunus (rosaceae, subfamily prunoideae). the commercial edible part of almond fruit is kernel. fertilization is essential for nut production in almond but most cultivars are self or even cross-incompatible. self-incompatibility in almond is gametophytic and controlled by a single s-locus with multiple codomina...

We develop structure-preserving reduced basis methods for a large class of nondissipative problems by resorting to their formulation as Hamiltonian dynamical systems. With this perspective, the phase space is naturally endowed with Poisson manifold structure which encodes physical properties, symmetries, and conservation laws dynamics. The goal design general state-dependent degenerate based on...

We investigate degenerate cross-diffusion equations, with a rank-deficient diffusion-matrix, modelling multispecies population dynamics driven by partial pressure gradients. These equations have recently been found to arise in mean-field limit of interacting stochastic particle systems. To date, their analysis multiple space dimensions has confined the purely convective case equal mobility coef...

The present analysis introduces a system of cooperative species formulated with high order parabolic operator, Fisher-KPP reaction and linear advection. Firstly, the oscillatory behaviour solutions is shown to exist shooting method approach. It be highlighted that existence patterns (also called instabilities) an inherent property operators. Afterwards, uniqueness results are provided. most rem...

In a reconfiguration version of decision problem \(\mathcal {Q}\) the input is an instance and two feasible solutions S T. The objective to determine whether there exists step-by-step transformation between T such that all intermediate steps also constitute solutions. this work, we study parameterized complexity Connected Dominating Set Reconfiguration (CDS-R). It was shown in previous work (DS...

In this paper, we propose a test for the equality of multiple distributions based on kernel mean embeddings. Our framework provides flexible way to handle multivariate data by virtue methods and allows number increase with sample size. This is in contrast previous studies that have been mostly restricted classical univariate settings fixed distributions. By building Cramér-type moderate deviati...

We present a complete derivation of derivative couplings between excited states in the framework of adiabatic time-dependent density functional response theory. Explicit working equations are given and the resulting derivative couplings are compared with derivative couplings from a pseudo-wavefunction ansatz. For degenerate excited states, i.e., close to a conical intersection (CI), the two app...

This paper newly proposes the recursive least-squares (RLS) fixed-interval smoother and filter, based on the innovation theory, in linear continuous-time stochastic systems. It is assumed that the signal is observed with additive white noise and the signal process is uncorrelated with the observation noise. It is a characteristic that the estimators use the covariance function of the signal, in...