Results 21 to 30 of about 3,567 (160)

Global Well‐Posedness of Master Equations for Deterministic Displacement Convex Potential Mean Field Games

open access: yesCommunications on Pure and Applied Mathematics, Volume 75, Issue 12, Page 2685-2801, December 2022., 2022
Abstract This manuscript constructs global in time solutions to master equations for potential mean field games. The study concerns a class of Lagrangians and initial data functions that are displacement convex, and so this property may be in dichotomy with the so‐called Lasry–Lions monotonicity, widely considered in the literature.
Wilfrid Gangbo, Alpár R. Mészáros
wiley   +1 more source

Some Bianchi Type Viscous Holographic Dark Energy Cosmological Models in the Brans–Dicke Theory

open access: yesAdvances in Astronomy, Volume 2022, Issue 1, 2022., 2022
In this article, we analyze Bianchi type–II, VIII, and IX spatially homogeneous and anisotropic space‐times in the background of the Brans–Dicke theory of gravity within the framework of viscous holographic dark energy. To solve the field equations, we have used the relation between the metric potentials as R = Sn and the relation between the scalar ...
M. Vijaya Santhi   +4 more
wiley   +1 more source

Some Properties of the Zero‐Divisor Graphs of Idealization Ring R(+)M

open access: yesMathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022
The aim of this article to follow the properties of the zero‐divisor graph of special idealization ring. We study the wiener index of the zero‐divisors graph of some special idealization ring R(+)M and find the clique number of the graph Γ(R(+)M) is ω (Γ(R(+)M)) = |M| − 1, where R is an integral domain.
Manal Al-Labadi, Naeem Jan
wiley   +1 more source

Wave–current interaction on a free surface

open access: yesStudies in Applied Mathematics, Volume 147, Issue 4, Page 1277-1338, November 2021., 2021
Abstract The classical water wave equations (CWWEs) comprise two boundary conditions for the two‐dimensional flow on the free surface of a bulk three‐dimensional (3D) incompressible potential flow in the volume bounded by the free surface, which itself moves under the restoring force of gravity.
Dan Crisan   +2 more
wiley   +1 more source

Sparse Kneser graphs are Hamiltonian

open access: yesJournal of the London Mathematical Society, Volume 103, Issue 4, Page 1253-1275, June 2021., 2021
Abstract For integers k⩾1 and n⩾2k+1, the Kneser graph K(n,k) is the graph whose vertices are the k‐element subsets of {1,…,n} and whose edges connect pairs of subsets that are disjoint. The Kneser graphs of the form K(2k+1,k) are also known as the odd graphs.
Torsten Mütze   +2 more
wiley   +1 more source

A survey of multiscale modeling: Foundations, historical milestones, current status, and future prospects

open access: yesAIChE Journal, Volume 67, Issue 3, March 2021., 2021
Abstract Research problems in the domains of physical, engineering, biological sciences often span multiple time and length scales, owing to the complexity of information transfer underlying mechanisms. Multiscale modeling (MSM) and high‐performance computing (HPC) have emerged as indispensable tools for tackling such complex problems.
Ravi Radhakrishnan
wiley   +1 more source

On pathos lict graph of a tree [PDF]

open access: yes, 2003
In this paper, the concept of pathos lict graph of a tree is introduced. We present a characterization of those graphs whose pathos lict graphs are planar, outerplanar, maximal outerplanar, crossing number one, eulerian and ...
Chandrasekhar, R., Muddebihal, M.H.
core   +1 more source

Automorphism Group and Other Properties of Zero Component Graph over a Vector Space

open access: yesJournal of Mathematics, Volume 2021, Issue 1, 2021., 2021
In this paper, we introduce an undirected simple graph, called the zero component graph on finite‐dimensional vector spaces. It is shown that two finite‐dimensional vector spaces are isomorphic if and only if their zero component graphs are isomorphic, and any automorphism of a zero component graph can be uniquely decomposed into the product of a ...
Shikun Ou   +3 more
wiley   +1 more source

Power graphs: A survey

open access: yesElectronic Journal of Graph Theory and Applications, 2013
This article gives a survey of all results on the power graphs of groups and semigroups obtained in the literature. Various conjectures due to other authors, questions and open problems are also included.
Jemal Abawajy   +2 more
doaj   +1 more source

Catlin’s reduced graphs with small orders

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
A graph is supereulerian if it has a spanning closed trail. Catlin in 1990 raised the problem of determining the reduced nonsupereulerian graphs with small orders, as such results are of particular importance in the study of Eulerian subgraphs and ...
Hong-Jian Lai   +3 more
doaj   +1 more source

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