On the algebraic connectivity of token graphs

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August undefined, 2024

Web15 de set. de 2024 · For each of the following classes of graphs, the algebraic connectivity of a token graph F k (G) equals the algebraic connectivity of G. (i) Let G … Web15 de jan. de 2007 · In Section 2, we also consider the diameter of G and give lower bounds of the Laplacian spectral radius and algebraic connectivity of G involving the diameter. 2. Lower bounds for the Laplacian eigenvalues Let G be a simple connected graph and L (G) = D (G) − A (G) be the Laplacian matrix of G. It is well known that λ n …

The Algebraic Connectivity of Graphs with Given Matching …

WebThe algebraic connectivity of a graph is the second smallest eigenvalue of the associated Laplacian matrix. In this paper, we not only characterize the extremal graphs with the … Webwith them. The ﬁrst major section of this paper is a survey of key results in Spectral Graph Theory. There are fascinating results involving the connectivity, spanning trees, and a … dyson building ventilators

The algebraic connectivity of a graph and its complement

WebIn the mathematical field of knot theory, an algebraic link is a link that can be decomposed by Conway spheres into 2-tangles. Algebraic links are also called arborescent links . [2] … Web13 de abr. de 2024 · The aim of this note is to revisit the connections between some stochastic games, namely Tug-of-War games, and a class of nonlocal PDEs on graphs. … dyson builders swinton

On the Robustness of Complex Networks by Using the Algebraic Connectivity

On the algebraic connectivity of token graphs - Semantic Scholar

WebIn Section 5.3 we develop upper and lower bounds on the algebraic connectivity of graphs in terms of a graph’s diameter and mean distance. Since graphs with large diameter and mean distance tend to have less edges, they are “less connected” and thus have lower algebraic connectivity. Section 5.4 focuses on using the edge density of a ... Web15 de out. de 2024 · The second smallest eigenvalue λ 2 ( G) is also called the algebraic connectivity of G and is an important indicator related to various properties of the … csc pmjay registrationWeb19 de jun. de 2024 · This paper introduces token graphs and studies some of their properties including: connectivity, diameter, cliques, chromatic number, Hamiltonian paths, and Cartesian products of token graphs. Expand 37 cscp nycourts.gov

"WebThe properties of token graphs have been studied since 1991 by various authors and with different names, see, e.g., [1,2,3,5,9] and, in recent years, the study of its combinatorial properties and ... " - On the algebraic connectivity of token graphs

On the algebraic connectivity of token graphs

Tug of War games and PDEs on graphs with applications in image …

Web2 de set. de 2024 · Abstract:We study the algebraic connectivity (or second Laplacian eigenvalue) of token graphs, also called symmetric powers of graphs. The $k$-token … WebIn this paper, we prove the conjecture for new infinite families of graphs, such as trees and graphs with maximum degree large enough. We study the algebraic connectivity (or …

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WebThe algebraic connectivity of a graph is the numerically second smallest eigenvalue (counting multiple eigenvalues separately) of the Laplacian matrix of a graph G. In other words, it is the second smallest root of the graph's Laplacian polynomial. This eigenvalue is greater than 0 iff G is a connected graph. The ratio of the Laplacian spectral radius to … Web15. The most common measures of connectivity are edge-connectivity and vertex-connectivity. The vertex-connectivity, or just connectivity, of a graph is the minimum number of vertices you have to remove before you can even hope to disconnect the graph. A graph is called k -vertex-connected, or just k -connected, if its connectivity is at least ...

Web25 de jul. de 2024 · Some Background. The algebraic connectivity of a graph G is defined as the second smallest Laplacian eigenvalue of the graph and is denoted by a ( G). It is known that a ( G) ≤ 1 if G is a tree and in particular, when the tree is a star then equality holds. Further, if G is a complete graph, then a ( G) = n where n is the number of … Web10 de abr. de 2024 · Bao, Tan and Fan [Y.H. Bao, Y.Y. Tan,Y.Z. Fan, The Laplacian spread of unicyclic graphs, Appl. Math. Lett. 22 (2009) 1011–1015.] characterize the unique …

WebThe algebraic connectivity (also known as Fiedler value or Fiedler eigenvalue after Miroslav Fiedler) of a graph G is the second-smallest eigenvalue (counting multiple … Web5 de jun. de 2024 · For a graph G, let λ2(G) denote its second smallest Laplacian eigenvalue. It was conjectured that λ2(G)+λ2(G¯) ... A note on the algebraic …

Web11 de jan. de 2024 · New conjectures on algebraic connectivity and the Laplacian spread of graphs. Wayne Barrett, Emily Evans, H. Tracy Hall, Mark Kempton. We conjecture a new lower bound on the algebraic connectivity of a graph that involves the number of vertices of high eccentricity in a graph. We prove that this lower bound implies a strengthening of …

WebWe study the algebraic connectivity (or second Laplacian eigenvalue) of token graphs, also called symmetric powers of graphs. The k-token graph F k(G) of a graph Gis the … dyson bus alburyWebthe algebraic connectivity of a graph. Throughout this paper, we consider connected graphs. The value of 2 encodes a great deal of information about G: its value is non-decreasing in the number of edges in G, and algebraic connectivity is closely related to graph diameter and various other algebraic properties of graphs [24]. csc photo resizeWebThis paper introduces token graphs and studies some of their properties including: connectivity, diameter, cliques, chromatic number, Hamiltonian paths, and Cartesian … csc-polimi scholarshipWebDownload scientific diagram The graph G and its complement graph G of Example 2.4. from publication: On the algebraic connectivity of token graphs We study the algebraic connectivity (or ... dyson bus company bundooraWebPrototype-based Embedding Network for Scene Graph Generation Chaofan Zheng · Xinyu Lyu · Lianli Gao · Bo Dai · Jingkuan Song Efficient Mask Correction for Click-Based … cscp onlineWeblinear algebra were used to analyze adjacency matrices of graphs. Algebraic meth-ods have proven to be especially e ective in treating graphs which are regular and symmetric. Sometimes, certain eigenvalues have been referred to as the \algebraic connectivity" of a graph [127]. There is a large literature on algebraic aspects of dyson brush bar ball headWeb25 de mar. de 2024 · The k -token graph F_k (G) of G is the graph whose vertices are the k -subsets of V ( G ), where two vertices are adjacent in F_k (G) whenever their … csc policy on work from home