On the algebraic connectivity of token graphs
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. … Web11 de mai. de 2024 · arXivLabs: experimental projects with community collaborators. arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.
On the algebraic connectivity of token graphs
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Web19 de jun. de 2024 · In 2012 Fabila-Monroy et al. reintroduced the concept of k-token graph as “a model in which k indistinguishable tokens move from vertex to vertex along the … 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 ...
Web30 de jan. de 2024 · After installation, run from algebraic_connectivity_directed import *. There are 4 main functions: Function algebraic_connectivity_directed: algebraic_connectivity_directed (G) returns a, b, M where a is the algebraic connectivity of the digraph G. The graph G is a networkx DiGraph object. The definitions of a, b, M = … Web1 de jan. de 1973 · As other invariants reflecting the capability of graph connectivity, the algebraic connectivity is considered as a quantitative measurement of graph …
Web30 de abr. 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 $F_k(G)$ … WebDownload 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 ...
Web25 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 symmetric difference is an edge of G. In 2024 Leaños and Trujillo-Negrete proved that if G is t -connected and t\ge k, then F_k (G) is at least k (t-k+1) -connected.
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 ... income tax form from employerWeb2 de jan. de 2024 · Algebraic connectivity is one way to quantify graph connectivity, which in turn gauges robustness as a network. In this paper, we consider the problem of maximizing algebraic connectivity both locally and globally overall simple, undirected, unweighted graphs with a given number of vertices and edges. We pursue this … income tax form from medicaidWeb2 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 … income tax form gWeb1 de mai. de 2024 · In this paper we show that such a lower bound remains true in the context of edge-connectivity. Specifically, we show that if G is t-edge-connected and \ … income tax form sxmWeb10 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 … income tax form in indiaWebdefined the absolute algebraic connectivity of a graph as the maximum value of λ (L) over all nonnegative edge weights that add up to m, i.e., 1/m times the optimal value of (3). The problem of finding the absolute algebraic connectivity of a graph was discussed in [15, 16], and an analytical solution was presented for tree graphs. income tax form ir8aWeb25 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 … income tax form schedule b