Results 41 to 50 of about 3,634,246 (271)

The Kirchhoff Index of Cluster Networks

Electronic Notes in Discrete Mathematics, 2011
Abstract In electric circuit theory, it is of great interest to compute the effective resistance between any pair of vertices of a network, as well as the Kirchhoff Index. During the last decade these parametres have been applied in Organic Chemistry as natural structural indexes different from the usual ones in order to achieve an improvement in the
C. Araúz, Enrique Bendito, Ángeles Carmona, Andrés M. Encinas   +3 more
openaire   +2 more sources

Estimating Robustness Through Kirchhoff Index in Mesh Graphs

IEEE Access, 2020
The Kirchhoff index is a new measure of network robustness. In this paper, we study the robustness of $n \times m$ mesh graphes (denoted by $M_{n\times m}$ ) by determining the most important edges and the least important edges. In other words, we aim
Yuming Peng, Jianyao Li, Weihua He
doaj   +1 more source

A formula for the Kirchhoff index

International Journal of Quantum Chemistry, 2008
AbstractWe show here that the Kirchhoff index of a network is the average of the Wiener capacities of its vertices. Moreover, we obtain a closed‐form formula for the effective resistance between any pair of vertices when the considered network has some symmetries, which allows us to give the corresponding formulas for the Kirchhoff index.
Bendito Pérez, Enrique, Carmona Mejías, Ángeles, Encinas Bachiller, Andrés Marcos, Gesto Beiroa, José Manuel   +3 more
openaire   +2 more sources

Evolution of Robustness in Growing Random Networks

Entropy, 2023
Networks are widely used to model the interaction between individual dynamic systems. In many instances, the total number of units and interaction coupling are not fixed in time, and instead constantly evolve.
Melvyn Tyloo
doaj   +1 more source

Bounds for the Kirchhoff index via majorization techniques

, 2012
Using a majorization technique that identifies the maximal and minimal vectors of a variety of subsets of R^n, we find upper and lower bounds for the Kirchhoff index K(G) of an arbitrary simple connected graph G that improve those existing in the ...
Torriero, Anna, Bianchi, Monica, Cornaro, Alessandra   +2 more
core   +1 more source

Kirchhoff Index of Cyclopolyacenes

Zeitschrift für Naturforschung A, 2010
The resistance distance between two vertices of a connected graph G is computed as the effective resistance between them in the corresponding network constructed from G by replacing each edge with a unit resistor. The Kirchhoff index of G is the sum of resistance distances between all pairs of vertices. In this paper, following the method of Y. J. Yang
Yan Wang, Wenwen Zhang
openaire   +1 more source

Memristive‐Gated RC‐Delay Synaptic Transistors for Time‐Encoded Analog in‐Memory Computing

Advanced Functional Materials, EarlyView.
A Memristive‐Gated Transistor for Time‐Encoded Analog In‐Memory Computing — By exploiting the RC delay of a self‐rectifying interface‐type memristor, nonlinear I–V distortion is structurally bypassed, enabling 3‐bit nonvolatile memory, spike‐timing‐based analog encoding, and hardware‐calibrated reservoir‐computing validation within a unified device ...
Yun‐Seo Shin, Eunjoo Yoo, Ki‐Hoon Son, Hyun‐Sik Kim, Dae‐Hee Han, Jeong Hyeon Son, Seung Hwan Lee, Hong‐Sub Lee   +7 more
wiley   +1 more source

Šoltés problem for the Kirchhoff index of a graph [PDF]

Applied Mathematics and Computation
The Kirchhoff index () of a connected graph is defined as the sum of resistance distances between all pairs of vertices in . We say that ∈ () is a good vertex if the Kirchhoff index remains unchanged when is removed, i.e. () = ( − ). In 1991, Šoltés studied the Wiener index of a graph and posed the problem of identifying graphs for which the removal of an
Kurt Klement Gottwald, Snježana Majstorović Ergotić, Tomislav Došlić   +2 more
openaire   +2 more sources

Emerging Post‐CMOS Hardware Neurons for Brain‐Inspired Computing: Devices, Circuits, and System Integration

Advanced Functional Materials, EarlyView.
The physical realization of artificial neurons is a critical challenge for energy‐efficient neuromorphic computing. This review presents a comprehensive analysis of the evolution of artificial neuron implementations from conventional CMOS to emerging post‐CMOS technologies.
Kannan Udaya Mohanan, Hocheon Yoo, Benoît H. Lessard, Ioannis Kymissis, Chang‐Hyun Kim   +4 more
wiley   +1 more source

Hybrid Ferroelectric Tunnel Junctions with Intrinsic Nonlinearity and Self‐Rectification via Interfacial Reconstruction

Advanced Functional Materials, EarlyView.
Rapid thermal annealing reconstructs the BCFO/Nb:STO interface into an atomically thin reconstructed interfacial layer, which reshapes the tunneling barrier and converts a high‐TER ferroelectric tunnel junction into an intrinsically nonlinear, self‐rectifying device.
Hojin Lee, Joonbong Lee, Jinho Byun, Sang‐Hyeok Yang, A young Cho, Sangwoo Lee, Dae Haa Ryu, Hyunbin Chung, Hee Seo Yun, Moon Seop Choi, Yesul Choi, Sungkyun Park, Min‐Hyung Jung, Dongwon Lee, Yoon‐Uk Heo, Hu Young Jeong, Hongseok Kim, Shinhyeong Lee, Yunseok Kim, Young‐Min Kim, Jaekwang Lee, Taekjib Choi   +21 more
wiley   +1 more source