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adjacency matrix

   Also found in: Wikipedia 0.03 sec.
adjacency matrix [ə′jās·ən·sē ‚mā·triks]
(mathematics)
For a graph withnVertices, then×nmatrixA=aij, where the nondiagonal entryaijis the number of edges joining vertexiand Vertexj, and the diagonal entryaiiis twice the number of loops at vertexi.
For a diagraph with no loops and not more than one are joining any two Vertices, ann×nmatrixA= [aij], in whichaij= 1 if there is an are directed from vertexito vertexj, and otherwiseaij= 0.


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We used custom programs to determine the adjacency matrix, validate the matrix structure (e.
 
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