Controlling network systems has become a problem of paramount importance. In this paper, we consider distributed linear-quadratic and propose the use graph neural networks (GNNs) to parametrize design controller for systems. GNNs exhibit many desirable properties, such as being naturally scalable. We cast self-supervised learning problem, which is then used train GNN-based controllers. also obt...

Self-adjusting networks (SANs) have the ability to adapt communication demand by dynamically adjusting workload (or demand) embedding, i.e., mapping of requests into network topology. SANs can reduce routing costs for frequently communicating node pairs paying a cost embedding. This is particularly beneficial when has structure, which to. Demand be represented in form graph, defined set nodes (...

The indistinguishability of quantum particles is widely used as a resource for the generation entanglement. Linear networks (LQNs), in which identical linearly evolve to arrive at multimode detectors, exploit generate various multipartite entangled states by proper control transformation operators. However, it challenging devise suitable LQN that carries specific state or compute possible given...

a graph is called textit{circulant} if it is a cayley graph on a cyclic group, i.e. its adjacency matrix is circulant. let $d$ be a set of positive, proper divisors of the integer $n>1$. the integral circulant graph $icg_{n}(d)$ has the vertex set $mathbb{z}_{n}$ and the edge set e$(icg_{n}(d))= {{a,b}; gcd(a-b,n)in d }$. let $n=p_{1}p_{2}cdots p_{k}m$, where $p_{1},p_{2},cdots,p_{k}$ are disti...

in this paper by using concepts of graph theory, forces method and substructure ing method for analysis of structures, some methods have been introduced for optimal analysis of structures in a large scale, using substructuring method. planar rigid frames assuming linear behavior and small deformations, have been optimal analyzed, by using forces method. thus, a fortran power station computation...