Forman curvature for complex networks
WebNov 16, 2024 · We introduce new definitions of sectional, Ricci, and scalar curvatures for networks and their higher dimensional counterparts, derived from two classical notions … WebMay 16, 2016 · Investigation of Forman curvature in diverse model and real-world undirected networks revealed that this measure captures several aspects of the …
Forman curvature for complex networks
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WebMay 16, 2016 · By applying the Forman curvature for directed networks to a variety of model and real-world directed networks, we show that the measure can be used to … WebDec 9, 2016 · Forman curvature for complex networks Full-text available Article Mar 2016 J STAT MECH-THEORY E Sreejith Remanan Pushpa Karthikeyan Mohanraj Jürgen Jost Areejit Samal View Show abstract Metric...
WebDec 7, 2024 · For instance, the Forman-Ricci curvature of an edge in an unweighted and undirected network essentially evaluates the sum of the degrees of its two vertices, and edges with a large such sum... WebNov 8, 2016 · Here, we introduce theoretical tools to classify the shape of a given network based on Forman’s Ricci curvature for graphs and its associated Ricci flow. Our setting …
WebNov 20, 2024 · In the human PPI network, while Ollivier–Ricci curvature has a unimodal distribution, the bimodal distribution of Forman–Ricci curvature in Fig. 1 signals an evident heterogeneity in the space of protein–protein interactions in the giant component; a major group of interactions are distributed around a relatively small-valued mode, and a small … WebDec 2, 2024 · 3.2 Ollivier’s Ricci Curvature. We have focused on Forman’s Ricci curvature so far, due to the intuitive geometric definition that makes it ideally suited for our parametrization of (hyper)networks as polyhedral complexes. In addition, its computational efficiency makes it ideally suited for large-scale applications.
WebAug 1, 2024 · We have investigated the distribution of the Forman curvature of edges for the two choices of node weights (see Section 2) in model and real networks.Obviously, the magnitude of the Forman curvature of edges with node weight equal to degree is higher than the Forman curvature of edges with node weight equal to 1 (Figs. 1 and 2) .Among …
WebDec 20, 2024 · In addition, we have also performed an empirical analysis in complex networks of the augmented Forman-Ricci curvature which accounts for two-dimensional simplicial complexes arising in graphs. We find that the Forman-Ricci curvature, especially the augmented version, is highly correlated to Ollivier-Ricci curvature in many model … find local planning authority by postcodeWebRecently, another discretization of Ricci curvature for complex networks based on Forman’s theoretical work has been introduced [45, 46, 52]. While based on different ideas than those residing at the base of Ollivier’s discretization, Forman’s version is far simpler to implement — an advantage that was emphasized and exploited in the ... erawan national park thailand waterval reizWebOct 17, 2024 · Forman's Ricci curvature - From networks to hypernetworks 10/17/2024 ∙ by Emil Saucan, et al. ∙ Princeton University ∙ 0 ∙ share Networks and their higher order generalizations, such as hypernetworks or multiplex networks are ever more popular models in the applied sciences. erawan security servicesWebApr 14, 2024 · This paper used the combinatorial complex-based Forman–Ricci network curvature as defined below. For other notions of network curvatures, we refer the reader to references 26 , 28 , 30 . erawan organic thai atlantaWebWe introduce Forman-Ricci curvature and its corresponding flow as characteristics for complex networks attempting to extend the common approach of node-based network … erawan palms resortWebJun 5, 2024 · Both Ollivier-Ricci curvature and Forman-Ricci curvature are edge-based measures which assign a number to each edge of a (possibly weighted and directed) … erawan organic thai sandy springsWebMar 1, 2016 · In most networks, Forman curvature is found to display significant negative correlation with degree and centrality measures. However, Forman curvature is … erawan penshurt thai restaurant