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The same definition works for undirected graphs, directed graphs, and even multigraphs. The induced subgraph G [ S ] {\displaystyle G[S]} may also be called the subgraph induced in G {\displaystyle G} by S {\displaystyle S} , or (if context makes the choice of G {\displaystyle G} unambiguous) the induced subgraph of S {\displaystyle S} .
The main alternative to the adjacency list is the adjacency matrix, a matrix whose rows and columns are indexed by vertices and whose cells contain a Boolean value that indicates whether an edge is present between the vertices corresponding to the row and column of the cell. For a sparse graph (one in which most pairs of vertices are not ...
In graph theory, an adjacent vertex of a vertex v in a graph is a vertex that is connected to v by an edge.The neighbourhood of a vertex v in a graph G is the subgraph of G induced by all vertices adjacent to v, i.e., the graph composed of the vertices adjacent to v and all edges connecting vertices adjacent to v.
Statistical graphics have been central to the development of science and date to the earliest attempts to analyse data. Many familiar forms, including bivariate plots, statistical maps, bar charts, and coordinate paper were used in the 18th century.
The friendship graphs (graphs formed by connecting a collection of triangles at a single common vertex) provide examples of graphs that are factor-critical but not Hamiltonian. If a graph G is factor-critical, then so is the Mycielskian of G. For instance, the Grötzsch graph, the Mycielskian of a five-vertex cycle-graph, is factor-critical. [4]
A radar chart or "spider chart" or "doi" is a two-dimensional chart of three or more quantitative variables represented on axes starting from the same point. A waterfall chart also known as a "Walk" chart, is a special type of floating-column chart. A tree map where the areas of the rectangles correspond to values. Other dimensions can be ...
For example, the price of a share reaches a high of $30.00 on Wednesday, and opens at $31.20 on Thursday, falls down to $31.00 in the early hour, moves straight up again to $31.45, and no trading occurs in between $30.00 and $31.00 area. This no-trading zone appears on the chart as a gap.
The four datasets composing Anscombe's quartet. All four sets have identical statistical parameters, but the graphs show them to be considerably different. Anscombe's quartet comprises four datasets that have nearly identical simple descriptive statistics, yet have very different distributions and appear very different when graphed.