Results 11 to 20 of about 2,053 (144)
Journal of Function Spaces, 2023 There has been an upsurge of research on complex networks in recent years. The purpose of this paper is to study the mathematical properties of the random pentagonal chain networks PECn with the help of graph theory.
Jia-Bao Liu, Qing Xie, Jiao-Jiao Gu
doaj +1 more source
Resistance Distances and Kirchhoff Indices Under Graph Operations
IEEE Access, 2020 The resistance distance between any two vertices of a connected graph $G$ is defined as the net effective resistance between them in the electrical network constructed from $G$ by replacing each edge with a unit resistor. The Kirchhoff index of $G$
Yujun Yang, Yue Yu
doaj +1 more source
The normalized Laplacian spectrum of subdivisions of a graph [PDF]
, 2016 Determining and analyzing the spectra of graphs is an important and exciting research topic in mathematics science and theoretical computer science. The eigenvalues of the normalized Laplacian of a graph provide information on its structural properties ...
Comellas Padró, Francesc de Paula +2 more
core +1 more source
Effective resistances and Kirchhoff index in subdivision networks [PDF]
, 2016 We define a subdivision network ¿S of a given network ¿; by inserting a new vertex in every edge, so that each edge is replaced by two new edges with conductances that fulfill electrical conditions on the new network.
Carmona Mejías, Ángeles +2 more
core +2 more sources
Effects of finite strains in fully coupled 3D geomechanical simulations [PDF]
, 2019 Numerical modeling of geomechanical phenomena and geo-engineering problems often involves complex issues related to several variables and corresponding coupling effects.
De Marchi, Nico +2 more
core +1 more source
Non-unitarisable representations and random forests [PDF]
, 2008 We establish a connection between Dixmier's unitarisability problem and the expected degree of random forests on a group. As a consequence, a residually finite group is non-unitarisable if its first L2-Betti number is non-zero or if it is finitely ...
Epstein, Inessa, Monod, Nicolas
core +3 more sources
Nordhaus-Gaddum-Type Results for Resistance Distance-Based Graph Invariants
Discussiones Mathematicae Graph Theory, 2016 Two decades ago, resistance distance was introduced to characterize “chemical distance” in (molecular) graphs. In this paper, we consider three resistance distance-based graph invariants, namely, the Kirchhoff index, the additive degree-Kirchhoff index ...
Das Kinkar Ch., Yang Yujun, Xu Kexiang
doaj +1 more source
A mathematical framework for finite strain elastoplastic consolidation. Part 1: Balance laws, variational formulation, and linearization [PDF]
, 1995 A mathematical formulation for finite strain elasto plastic consolidation of fully saturated soil media is presented. Strong and weak forms of the boundary-value problem are derived using both the material and spatial descriptions.
Alarcón Álvarez, Enrique +1 more
core +2 more sources
Elastoplastic consolidation at finite strain. Part 2: finite element implementation and numerical examples [PDF]
, 1998 A mathematical model for finite strain elastoplastic consolidation of fully saturated soil media is implemented into a finite element program. The algorithmic treatment of finite strain elastoplasticity for the solid phase is based on multiplicative ...
Atkin +46 more
core +2 more sources
Fast Computation of Fourier Integral Operators [PDF]
, 2006 We introduce a general purpose algorithm for rapidly computing certain types of oscillatory integrals which frequently arise in problems connected to wave propagation and general hyperbolic equations.
Candes, Emmanuel +2 more
core +6 more sources