3/20/2023 0 Comments Hyper graphAs such, hypergraphs are the natural representation of a broad range of systems, including those with the kinds of multi-way relationships mentioned above. Hypergraphs are generalizations of graphs in which edges may connect any number of vertices, thereby representing k-way relationships. However, real-world phenomena in these systems can be rich in multi-way relationships involving interactions among more than two entities, dependencies between more than two variables, or properties of collections of more than two objects. But as abstract mathematical objects, graphs are limited to representing pairwise relationships between entities. Graph models benefit from simplicity and a degree of universality. Systems studied in biology, sociology, telecommunications, and physical infrastructure often afford a representation as a set of entities (“vertices”) with binary relationships (“edges”), and hence may be analyzed utilizing graph theoretic methods. In the study of complex systems, graph theory is often perceived as the mathematical scaffold underlying network science. Our work demonstrates how analyses of hypergraph-structured data are richer when utilizing tools tailored to capture hypergraph-native phenomena, and suggests one possible avenue towards that end. Lastly, we apply three generative models to the data and find that basic hypergraph properties, such as density and degree distributions, do not necessarily control these new structural measurements. We apply high-order analogs of these methods to real world hypernetworks, and show they reveal nuanced and interpretable structure that cannot be detected by graph-based methods. Graph methods which then generalize to hypergraphs include connected component analyses, graph distance-based metrics such as closeness centrality, and motif-based measures such as clustering coefficients. Edge incidence in hypergraphs is quantitative, yielding hypergraph walks with both length and width. HyperGraph 3D offers a 3-D plotting environment that is fully integrated with HyperWorks, for managing, reviewing, and analyzing 3-D plots such as waterfall, surface, and 3-D line data.We propose high-order hypergraph walks as a framework to generalize graph-based network science techniques to hypergraphs. Powerful data analysis and plotting tool for all types of CAE data. The Model Identification Tool, known as MIT, is a profile in HyperGraph 2D for fitting test data from frequency- and amplitude-dependent bushings to analytical models.ĭiscover HyperGraph 2D and HyperGraph 3D functionality with interactive tutorials. The Vehicle Safety Tools (VST) is a collection of over 200 macros, Templex functions, and external functions for use The HyperGraph Plot Browser is located in the tab area sidebar and allows you to view the HyperGraph plot structure.įrom the HyperGraph 2D NVH menu, the following options are available. The Tab Area is the portion of the graphical user interface that contains the browsers, utilities, and other functionality The HyperGraph 2D toolbars provide quick access to commonly used panels and tools. The panelsĪvailable on the Annotations menu are the same for all plot type options.įrom the Tools menu, you can access panels to plot statistics and retrieve individual point data.įrom the Preferences menu, you can define file export settings and access the Options panel.įrom the HyperGraph 2D modeling window, right-click to display the HyperGraph 2D context-sensitive menu. The Annotations menu provides quick access to the Axes, Legends, Headers and Footers, and Notes panels. On the selected plot type (XY Plot, Bar Chart, Polar Plot, and Complex Plot). The Curves menu options change, depending The Curves menu allows you quick access to commonly used panels and tools. The HyperGraph 2D menus provide quick access to panels and tools.įrom this menu, select one of four plot types: XY Plot, Bar Chart, Complex Plot, or Polar Plot. The user interface provides you with a consistent look and feel when you are working in any of the HyperWorks Desktop applications. HyperGraph can read the following types of plot data files: Learn the basics and discover the workspace. View new features for HyperGraph 2D 2021.
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