image thumbnail

Toolbox Graph

version 1.4.0.0 (2.87 MB) by Gabriel Peyre
A toolbox to perform computations on graph.

39.3K Downloads

Updated 19 Jul 2009

View License

Graph theory toolbox
Copyright (c) 2007 Gabriel Peyre

This toolbox contains useful functions to deal with graph and triangulation.

The basic representation of a graph of n vertices is the adjacency matrix A where A(i,j)=1 if vertex i is linked to vertex j. A graph often comes with a geometric realization in R^d which an (d,n) matrix where vertex(:,i) is the position of the ith vertex.

A triangulation of m faces and n vertex is represented through:
* a set of faces which is a (3,m) matrix where face(:,i) are the vertices indexes of the ith face.
* a set of vertex which is a (d,n) matrix.
The toolbox contains function to deal more easily with a triangulation data structure, and allows to retrieve vertex and face 1-ring and switch from adjacency to faces.

The graph part of the toolbox contains function to creates synthetic graph and compute shortest path (dijkstra and isomap algorithm).

This toolbox contains a lot of function to deal with spectral theory of triangulation. You can load triangulations from files and then display the resulting mesh. It allows to compute various laplacian operator, and the to compute parameterization using spectral decomposition, harmonic mapping, free boundary harmonic mapping, and isomap.

Cite As

Gabriel Peyre (2021). Toolbox Graph (https://www.mathworks.com/matlabcentral/fileexchange/5355-toolbox-graph), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!

toolbox_graph/

toolbox_graph/tests/

toolbox_graph/toolbox/