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Solutions of Detour Distance Graph Equations [PDF]

open access: yesSensors, 2022
Graph theory is a useful mathematical structure used to model pairwise relations between sensor nodes in wireless sensor networks. Graph equations are nothing but equations in which the unknown factors are graphs.
S. Celine Prabha   +7 more
doaj   +4 more sources

Moving from table to graph in physics-informed spatio-temporal symbolic regression [PDF]

open access: yesScientific Reports
Symbolic Regression (SR) is a powerful technique for discovering analytical mathematical expressions that describe observed numerical data. Traditionally, SR models work on data in tabular form, imposing a purely functional mapping without considering ...
Teddy Lazebnik, Alex Liberzon
doaj   +2 more sources

Evolution Equations on Co-evolving Graphs: Long-Time Behaviour and the Graph-Continuity Equation. [PDF]

open access: yesJ Nonlinear Sci
Abstract We focus on evolution equations on co-evolving infinite graphs and establish a rigorous link with a class of nonlinear continuity equations, whose vector fields depend on the graphs considered. More precisely, weak solutions of the so-called graph-continuity equation are shown to be the push-forward of their initial datum ...
Carrillo JA, Esposito A, Mikolás L.
europepmc   +8 more sources

Graph polynomials associated with Dyson-Schwinger equations [PDF]

open access: yesMathematica Moravica, 2023
Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially.
Shojaei-Fard Ali
doaj   +1 more source

Numerical study of the equation on the graph for the steady state non-Newtonian flow in thin tube structure

open access: yesMathematical Modelling and Analysis, 2023
The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices.
Nikolajus Kozulinas   +3 more
doaj   +1 more source

Development of Differential Equations and their Solution Using the Simulink Matlab Program, which Calculate the Self-Swinging of Synchronous Machines with Traditional and Longitudinal-Transverse Excitation [PDF]

open access: yesE3S Web of Conferences, 2020
The article presents the differential equations of a synchronous generator in phase coordinates and in the coordinate system (d, q). In addition, differential equations of synchronous machines with longitudinal-transverse excitation and a block diagram ...
Toirov Olimjon   +3 more
doaj   +1 more source

The replicator equation on graphs [PDF]

open access: yesJournal of Theoretical Biology, 2006
We study evolutionary games on graphs. Each player is represented by a vertex of the graph. The edges denote who meets whom. A player can use any one of n strategies. Players obtain a payoff from interaction with all their immediate neighbors. We consider three different update rules, called 'birth-death', 'death-birth' and 'imitation'. A fourth update
Ohtsuki, Hisashi, Nowak, Martin
openaire   +4 more sources

Time-Dependent Lagrangian Energy Systems on Supermanifolds with Graph Bundles

open access: yesJournal of Mathematics, 2021
The aim of this article is firstly to improve time-dependent Lagrangian energy equations using the super jet bundles on supermanifolds. Later, we adapted this study to the graph bundle.
Cansel Aycan, Simge Şimşek
doaj   +1 more source

Quasirandom Graphs and the Pantograph Equation [PDF]

open access: yesThe American Mathematical Monthly, 2021
To appear in Amer.
Asaf Shapira, Mykhaylo Tyomkyn
openaire   +3 more sources

Rate Equations for Graphs [PDF]

open access: yes, 2020
to be presented at the 18th International Conference on Computational Methods in Systems Biology (CMSB 2020)
Vincent Danos   +3 more
openaire   +5 more sources

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