In this paper, Perron–Frobenius theory for adjacency matrix of graph with self-loops A G S will be explored. Specifically, it discusses the nontrivial existence of Perron–Frobenius eigenvalue and eigenvector pair in the matrix A G S σ n I , where σ denotes the number...
Sombor Energy of a Graph with Self-Loops This study aims to extend the notion of degree-based top ologi-cal index, associated adjacency-type matrix and its energy from a simple graph to a graph wi... DV Anchan,S D'Souza,HJ Gowtham,... - 《Match》 被引量: 0发表: 2023年 ...
Let (G,∗) be a finite group and S={x∈G|x≠x−1} be a subset of G containing its non-self invertible elements. The inverse graph of G denoted by Γ(G) is a graph whose set of vertices coincides with G such that two distinct vertices x and y are adja
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Supply networks with optimal structure do not contain loops but these can arise as a result of damages or fluctuations. Here Kaiser et al. uncover the mechanisms of loop formation, predict their location and draw analogies with loop formation in biological networks such as plants and animal vascul...
Here, A = JS2a2/(2Ω) is the exchange stiffness constant (with a being the lattice constant and Ω, the atomic volume) and θ(x) is the position-dependent orientation of magnetization in the material. Eq. (17) expresses the fact that there is an energy cost (proportional to A) associ...
We next used AFM to probe the geometry of CI, TCC, and STC intasomes. High-resolution topographs revealed intasomes with ellipsoidal shapes (Fig. 2a) and a long axis of 19 ± 2 nm (mean ± SD of the full width at half maximum (FWHM) height; n = 82), in quant...
Our research investigates the usage of multi agent reinforcement learning (RL) based electric vehicle (EV) charging strategies to improve the photovoltaic (PV) energy self consumption share of a small energy community. Our RL agents were faced with the task of balancing local energy demand and sup...
Tancredi, An analytic solution for the equal-mass banana graph, JHEP 09 (2019) 112 [arXiv:1907.03787] [INSPIRE]. Article ADS MathSciNet Google Scholar M. Y. Kalmykov and B. A. Kniehl, Counting the number of master integrals for sunrise diagrams via the Mellin-Barnes representation, ...
We propose a characterization of complex networks, based on the potential of an associated Schrödinger equation. The potential is designed so that the energy spectrum of the Schrödinger equation coincides with the graph spectrum of the normalized L