AdjacencyGraph
AdjacencyGraph[amat] gives the graph with adjacency matrix amat.
AdjacencyGraph[{v1, v2, ...}, amat] gives the graph with vertices vi and adjacency matrix amat.
Examples
Create a graph from an adjacency matrix:
AdjacencyGraph[{{0, 1, 1}, {1, 0, 1}, {1, 1, 0}}]Create a named graph:
AdjacencyGraph[{a, b, c}, {{0, 1, 0}, {1, 0, 1}, {0, 1, 0}}]Please visit the official Wolfram Language Reference for more details.