Abstract We define isoclinism of skew braces and present several applications. study some properties that are invariant under isoclinism. For example, we prove right nilpotency is an invariant. This result has application in the theory set‐theoretic solutions to Yang–Baxter equation. isoclinic multipermutation

We show that if μj is the j-th largest Laplacian eigenvalue, and dj is the j-th largest degree (1 ≤ j ≤ n) of a connected graph Γ on n vertices, then μj ≥ dj − j + 2 (1 ≤ j ≤ n− 1). This settles a conjecture due to Guo.

Each member of the group works independently from other members but is allowed to compare results with other members of the group. Each of the files contains the degree sequences from global syntactic dependency networks (undirected degree sequences, in-degree sequences or out-degree sequences from various languages). A degree sequence is sequence k1, ..., ki, ..., kN , where ki is the degree o...

Let $G = (V, E)$ be a simple graph. Denote by $D(G)$ the diagonal matrix $diag(d_1,cdots,d_n)$, where $d_i$ is the degree of vertex $i$  and  $A(G)$ the adjacency matrix of $G$. The  signless Laplacianmatrix of $G$ is $Q(G) = D(G) + A(G)$ and the $k-$th signless Laplacian spectral moment of  graph $G$ is defined as $T_k(G)=sum_{i=1}^{n}q_i^{k}$, $kgeqslant 0$, where $q_1$,$q_2$, $cdots$, $q_n$ ...

Th is paper addresses the role of experts in decision-making in local government. Departing from theories about professionals and technocrats in decision-making processes, the question arises as to how much infl uence these experts have in policymaking processes. Th e paper addresses this question and discusses the role of western experts in adapting the social security system to EU requirement...

We obtain minimal shape-preserving projections onto the n-th degree algebraic polynomials via a geometric approach.