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Graphs And Matrices—Wolfram Language Documentation

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GraphData [entity, property] gives the value of the property for the specified graph entity. GraphData [class] gives a list of available named graphs in the specified graph class. AdjacencyMatrix returns a square matrix whose rows and columns correspond to the vertices of a graph and whose elements aij are non-negative integers that give the numbers of (directed) For graphs specified by an adjacency matrix, vertex labels are taken to be successive integers , , , , where is the size of the matrix. For graphs specified by a list of rules, labels are the

The Wolfram Language’s symbolic architecture and sophisticated mathematical capabilities allow it to take a uniquely high-level approach to geometric transformations — supporting complete NumberOfGraphs [n, m] returns the number of nonisomorphic undirected graphs with vertices and edges. The Wolfram Language provides functions for the aesthetic drawing of graphs. Algorithms implemented include spring embedding, spring-electrical embedding, high-dimensional

Network of Wolfram Language Functions: New in Wolfram Language 11

GraphPlot3D attempts to place vertices in 3D to give a well-laid-out version of the graph. The following special wrappers can be used for the edges ei: For graphs specified by an adjacency matrix, vertex labels are taken to be successive integers , , , , where is the size of the matrix. For graphs specified by a list of rules, labels are the GraphPlot attempts to place vertices to give a well-laid-out version of the graph. The following special wrappers can be used for the edges ei:

SymmetricMatrix: Construct a Symmetric Matrix—Wolfram Documentation

Wolfram Research is the holder of the copyright to the Wolfram Mathematica software system („Software“) described in this document, including without limitation such aspects of the system

The Wolfram Language can import and export 3D graphics in a variety of standard formats, allowing interchange with other applications. As with other 3D graphics in the Wolfram

GraphLayout is an option to Graph and related functions that specifies what layout to use. The Wolfram Language provides functions for the aesthetic drawing of graphs. Algorithms implemented include spring embedding, spring-electrical embedding, high-dimensional

  • SameQ—Wolfram Documentation
  • Summary of New and Improved Features in 14.0
  • GraphData—Wolfram Language Documentation

Convert each undirected edge of the graph to both directions: GraphPlot attempts to place vertices to give a well-laid-out version of the graph. The following special wrappers can be used for the edges ei:

Graph Utilities Package—Wolfram Documentation

PetersenGraph returns the Petersen graph, a graph whose vertices can be viewed as the size-2 subsets of a size-5 set with edges connecting disjoint subsets. Exporting Graphics and Sounds The Wolfram Language allows you to export graphics and sounds in a wide variety of formats. If you use the notebook front end for the Wolfram Using a host of original algorithms developed at Wolfram Research, the Wolfram Language provides powerful functions that automate the process of creating cognitively and aesthetically

The Wolfram Language provides a range of methods for representing and constructing matrices. Especially powerful are symbolic representations, in terms of symbolic systems of equations, Plot is known as a function plot or graph of a function. In some cases, it may be more efficient to use Evaluate to evaluate f symbolically before specific numerical values are assigned to x.

  • KirchhoffMatrix—Wolfram Documentation
  • Introduction to Graph Drawing—Wolfram Documentation
  • WriteGraph—Wolfram Documentation
  • DirectedGraph—Wolfram Documentation
  • GridGraph—Wolfram Documentation

Wolfram Language 14.3 | August 2025 14.3 Documentation Version 14.3 adds full support for dark mode and introduces new standard colors designed for both dark- and light-mode KirchhoffMatrix returns the Kirchhoff matrix, also known as the Laplacian matrix, admittance matrix, or discrete Laplacian. This is a square matrix with integer elements. For efficiency, A list of key new and improved features since 13.3, including features experimental in 14.0.

For graphs specified by an adjacency matrix, vertex labels are taken to be successive integers , , , , where is the size of the matrix. For graphs specified by a list of rules, labels are the A list of key new and improved features since 13.0, including features experimental in 14.0.

SameQ requires exact correspondence between expressions, except that it still considers Real numbers equal if they differ in their last binary digit. The Wolfram Language has the most extensive collection of mathematical functions ever assembled. Often relying on original results and algorithms developed at Wolfram Research

Scope (29) Properties & Relations (4) Properties of the function, and connections to other functions Joining the adjacency matrix of two graphs on diagonal and others are ones gets the As we add connections, the Wolfram Language chooses to place the vertices or nodes of the graph differently. All that really matters for the meaning, MatrixPlot [m] generates a plot that gives a visual representation of the values of elements in a matrix.

Graph Construction and Representations Graphs & Networks Graph Visualization Computation on Graphs Graph Construction & Representation Graphs and Matrices Graph Properties &