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An independent set of ⌊ ⌋ vertices (where ⌊ ⌋ is the floor function) in an n-vertex triangle-free graph is easy to find: either there is a vertex with at least ⌊ ⌋ neighbors (in which case those neighbors are an independent set) or all vertices have strictly less than ⌊ ⌋ neighbors (in which case any maximal independent set must have at least ⌊ ⌋ vertices). [4]
A chart (sometimes known as a graph) is a graphical representation for data visualization, in which "the data is represented by symbols, such as bars in a bar chart, lines in a line chart, or slices in a pie chart". [1] A chart can represent tabular numeric data, functions or some kinds of quality structure and provides different info.
Cantor is a free software mathematics application for scientific statistics and analysis. [ 2 ] [ 3 ] It is part of the KDE Software Compilation 4 , and was introduced with the 4.4 release [ 2 ] as part of the KDE Education Project 's kdeedu package.
2021/4/30 Origin 2021b: Mini toolbar for 3D graph, built-in Shapefile support, insert maps to graphs, NetCDF climate data, SQLite import export; 2020/10/27 Origin 2021. Fully integrated Python support with new originpro package. New formula bar, color manager, chord diagram. New Apps including TDMS Connector, Import PDF Tables. 2020/4/30 Origin ...
A scatter plot, also called a scatterplot, scatter graph, scatter chart, scattergram, or scatter diagram, [2] is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded (color/shape/size), one additional variable can be displayed.
The H-free graphs are the family of all graphs (or, often, all finite graphs) that are H-free. [10] For instance the triangle-free graphs are the graphs that do not have a triangle graph as a subgraph. The property of being H-free is always hereditary. A graph is H-minor-free if it does not have a minor isomorphic to H. Hadwiger 1. Hugo Hadwiger 2.