2024 Contact process on hyperbolic random graph

Contact process on hyperbolic random graph

Author: buti

August undefined, 2024

WebTitle: Universality of nodal count statistics in large graphs. Abstract: An eigenfunction of the Laplacian on a graph has an excess number of zeros due to the graph’s non-trivial topology. This number, called the nodal surplus, is an integer between 0 and the first Betti number of the graph. WebMathematics We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent χ ∈ (1,2) (so …

Komjathy Julia

WebExplosion in weighted Hyperbolic Random Graphs and Geometric Inhomogeneous Random Graphs (2024) Stochastic Processes and their Applications Vol. 130(3), pages 1309-1367 (2024) Short description: This paper is the first to study first passage percolation on scale-free spatial networks: geometric inhomogeneous random graphs (GIRG), … WebJul 12, 2024 · In particular, for hyperbolic random graphs, which have previously been used to model hierarchical networks like the internet, k = 𝒪(log^2n) holds asymptotically almost surely. Thus, we obtain a worst-case stretch of 3, 𝒪(log^4 n) bits of storage per vertex, and 𝒪(log^2 n) time per routing decision on such networks. spare tire for jeep compass 2021

The contact process on random hyperbolic graphs: …

WebWe consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent $\chi \in(1,2)$ (so … WebMar 1, 2024 · In hyperbolic random graphs, vertices are sampled independently from the hyperbolic disk with radius and two vertices are connected either when they are within … WebFeb 16, 2024 · Our proofs rely crucially on a careful analysis of the sub-tree counts near the boundary using Palm calculus for Poisson point processes along with estimates for the hyperbolic metric and measure. For the central limit theorem, we use the abstract normal approximation result from Last et al. derived using the Malliavin-Stein method. spare tire for 2021 ford ecosport

Local limits of spatial inhomogeneous random graphs

The contact process on random hyperbolic graphs: …

WebJul 31, 2024 · As discussed above, and as we will show later, the aforementioned random graph models do not generate communities that would have the kind of core-tail structure that is commonly observed in real-world social networks (see, e.g Araujo et al. (), Metzler et al. (2016, 2024)).To address that, we propose the HYGEN random graph generator that … WebAbstract We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent [Math … tech art testsWebThe target of the multi-hop knowledge base question-answering task is to find answers of some factoid questions by reasoning across multiple knowledge triples in the knowledge base. Most of the existing methods for multi-hop knowledge base question answering based on a general knowledge graph ignore the semantic relationship between each hop. … spare tire for a 2020 ford fusion

"WebOct 30, 2024 · In this paper, we derive the first-order asymptotics of for the contact process on Galton-Watson trees and its corresponding analog for random graphs. In particular, … " - Contact process on hyperbolic random graph

Contact process on hyperbolic random graph

Geometric inhomogeneous random graphs - ScienceDirect

WebMar 1, 2024 · free percolation and/or hyperbolic random graphs: ζ in this regime depends b oth on τ, α. W e also prove that the second-largest component in a box of volume n is of size Θ(log( n ) 1 /ζ + o ... WebLimit sets for branching random walks on relatively hyperbolic groups - Wenyuan YANG 杨文元 BICMR, PKU (2024-12-13) Branching random walks (BRW) on groups consist of two independent processes on the Cayley graphs: branching and movement. Start with a particle on a favorite location of the graph.

Did you know?

WebJan 8, 2024 · The random hyperbolic graph 50,51 ... An edge refers to the close contact between the two nodes (persons). ... The PARG outperforms the ER model and the Achlioptas process. The random hyperbolic ... WebThe Hyperbolic Graph Generator software has been designed and implemented by Chiara Orsini (@chiaraorsini), and Rodrigo Aldecoa . Support or Contact This work was supported by NSF Grants no. CNS-1344289, CNS-1442999, CNS-0964236, CNS-1441828, CNS-1039646, and CCF-1212778; DARPA grant no. HR0011–12-1–0012; Cisco Systems.

WebJan 1, 2015 · Random Graph; Preferential Attachment; Hyperbolic Geometry; Poisson Point Process; These keywords were added by machine and not by the authors. This … WebApr 5, 2024 · Most existing representation learning models for heterogeneous graphs depend on meta-paths, which requires domain-specific prior knowledge and reduces model practicality. In addition, real-world graphs usually conform to power-law distributions, and conventional graph models defined in Euclidean space lead to high distortion for such …

WebMay 17, 2024 · Most complex real world networks display scale-free features. This characteristic motivated the study of numerous random graph models with a power-law degree distribution. There is, however, no established and simple model which also has a high clustering of vertices as typically observed in real data. Hyperbolic random graphs … WebA hyperbolic geometric graph (HGG) or hyperbolic geometric network (HGN) is a special type of spatial network where (1) latent coordinates of nodes are sprinkled according to a probability density function into a hyperbolic space of constant negative curvature and (2) an edge between two nodes is present if they are close according to a function of the …

WebMar 13, 2024 · In particular, we study the case when the parameters are so that the degree distribution in the graph follows a power law with exponent $\tau\in(2,3)$ (infinite variance), and the edge-weight distribution is such that it produces an explosive age-dependent branching process with power-law offspring distribution.

WebJul 31, 2024 · As many real-world graphs seem to follow a hyperbolic or core–tail model, we introduce a novel random graph generator to fill this gap. HYGEN generates … techart tzg-01WebAlgorithms and Models for the Web Graph: 11th International Workshop, WAW 2014, Beijing, China, December 17-18, 2014, Proceedings; Clustering and the Hyperbolic Geometry of Complex Networks; Article . Free Access. techart toruńWebJul 20, 2024 · We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent $\chi … techart ukWebJul 19, 2024 · Under appropriate integrability assumptions on the edge probabilities that imply sparseness of the model, after appropriately blowing up the locations, we prove that the local limit of this random graph sequence is the (countably) infinite random graph on $\mathbb{R}^d$ with vertex locations given by a homogeneous Poisson point process, … techart tuningWebJul 20, 2024 · We consider the contact process on the model of hyperbolic random graph, in the regime when the degree distribution obeys a power law with exponent χ ∈ (1, 2) (so … spare tire for dodge chargerWebThe arcsine law (how long does a random walk spend on the positive part of the axis?) illustrates the counter-intuitive behavior of random processes. Brownian motion. Financial markets. Harmonic functions. The relation of random walks to potential theory. The type problem (when is a random walk on a graph transient)? Irrational rotations of the ... techart updateWebFeb 14, 2024 · In particular, hyperbolic random graphs are a promising model, as Boguñá et al. [11] computed a (heuristic) maximum likelihood fit of the internet graph into the hyperbolic random graph model and demonstrated its quality by showing that greedy routing in the underlying geometry of the fit finds near-optimal shortest paths. spare tire for jeep compass 2019