9.2 Construction of Simplicial Complexes from Graphs
نویسنده
چکیده
We can construct the neighborhood complex N(G), with vertices v1, ..., vn, from the graph G, in such a way that, for each vertex v of G, there is a simplex containing the vertex v along with its neighbouring vertices, corresponding to the directed edges v → w. To construct this, we can take each vertex in v1, ..., vn one by one, and construct the simplex along with it’s neighbors, each time. The following figure gives an example on how to compute the neighborhood complex from a graph:
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