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  "body": "\n## Statement\n\nKirchhoff's theorem can be modified to give the number of oriented spanning trees in directed multigraphs. The matrix *Q* is constructed as follows:\n\n- The entry *q\u003csub\u003ei,j\u003c/sub\u003e* for distinct *i* and *j* equals −*m*, where *m* is the number of edges from *i* to *j*;\n- The entry *q\u003csub\u003ei,i\u003c/sub\u003e* equals the indegree of *i* minus the number of loops at *i*.\n\nThe number of oriented spanning trees rooted at a vertex *i* is the determinant of the matrix gotten by removing the *i*th row and column of *Q*\n",
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