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The adjacency list representation of a graph consists of lists one for each vertex , , which gives the vertices to which is adjacent. The adjacency lists of a graph may be computed in the Wolfram Language using
AdjacencyList[g, #]& /@ VertexList[g]
and a graph may be constructed from adjacency lists using
Graph[UndirectedEdge @@@ Union[
Sort /@ Flatten[
MapIndexed[{#, #2[[1]]}&, l, {2}],
1]]]
Skiena, S. "Adjacency Lists." §3.1.2 in Implementing Discrete Mathematics: Combinatorics and Graph Theory with Mathematica. Reading, MA: Addison-Wesley, pp. 86-87, 1990.
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