Mean steiner distance of vicsek networks
WebFeb 1, 2024 · In the Vicsek model (VM), a number of self-driven agents with the same absolute speed are randomly distributed in a square region with periodic boundaries. At each time step, the agent moves forward by taking the average direction of all its neighbors. WebApr 6, 2024 · Physical distance and remote work have many detrimental effects on organizational performance, but as a leader you can upgrade communication and collaboration within your community and improve the ...
Mean steiner distance of vicsek networks
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WebApr 1, 2024 · The average distance is concerned in the research of complex networks and is related to Wiener sum which is a topological invariant in chemical graph theory. In this paper, we study the skeleton networks of the Sierpinski tetrahedron, an important self-similar fractal, and obtain their asymptotic formula for average distances. WebAbstract: The hyper-Wiener index is an important topological invariant, which is based on the distance between two vertexes on a graph. This paper is concerned with the hyper-Wiener indices of Vicsek networks. Based on the method of finite pattern, we calculate the asymptotic formula of the hyper-Wiener indices of Vicsek networks.
WebJun 26, 2024 · ECCENTRIC STEINER DISTANCE SUM OF VICSEK NETWORKS Article Jul 2024 FRACTALS WENJIA MA Qi Jia Lei Lei Lifeng Xi View Show abstract Fractal networks with hierarchical structure: Mean... WebFeb 1, 2012 · There are also some complex networks modeled on self-similar fractals, for example, Liu and Kong [10] and Chen et al. [2] study Koch networks, Zhang et al. [15] investigate the networks constructed from Vicsek fractals. See also Dai and Liu [3], Sun et al. [13] and Zhou et al. [18].
WebMar 24, 2008 · In this paper, the exact formula for the mean geodesic distance of Vicsek fractals is found. The quantity is computed precisely through the recurrence relations … WebThe four-point Steiner distance is the minimum of the total geodesic distances within the metric space from four given points to a point. For Vicsek networks, we obtain the asymptotic formula of their mean Steiner distances using the method of finite pattern. Publication: Fractals Pub Date: 2024 DOI: 10.1142/S0218348X21502613 Bibcode:
WebThe four-point Steiner distance is the minimum of the total geodesic distances within the metric space from four given points to a point. For Vicsek networks, we obtain the asymptotic formula of their mean Steiner distances using the method of finite pattern.
WebJun 2, 2024 · J. Phys. A: Math. Theor. 41 (2008) 485102 Z Zhang et al The paths that contribute to t must all go through at least one of the 2f edge nodes (such as G,X,Y and Z in figure 2) at which the different V f,t branches are connected. The analytical expression for t, named the crossing path length [9], can be derived as below. Denote α,β t as the sum of … purdue city bus hydraulic brakeWebDownloadable (with restrictions)! The four-point Steiner distance is the minimum of the total geodesic distances within the metric space from four given points to a point. For … purdue cite a bookWebJul 28, 2024 · This paper concerns weighted average distances of Vicsek fractal and Vicsek networks by using the integral of geodesic distance in terms of self-similar measure with … purdue civics literacy initiativepurdue citrix workspaceWebFeb 20, 2024 · To obtain the eccentric distance sum of networks, the corresponding integral on self-similar measure for Vicsek fractals is investigated using theSelf-similarity of distance and measure to solve the integral. 11 The trapping problem of the weighted scale-free treelike networks for two kinds of biased walks. purdue citrus bowl rosterWebIn this paper, for a family of self-similar Vicsek networks, we discuss their eccentric distance sums related to the Steiner distance of four nodes. The topological indexes, such as the … purdue city busWebFor Vicsek networks, we obtain the asymptotic formula of their mean Steiner distances using the method of finite pattern. The four-point Steiner distance is the minimum of the … purdue christmas tree ornaments