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BUILT-IN MATHEMATICA SYMBOL
KirchhoffMatrix
KirchhoffMatrix[g]
gives the Kirchhoff matrix of the graph g.
Details
- KirchhoffMatrix returns a SparseArray object, which can be converted to an ordinary matrix using Normal.
- The diagonal entries
equal the degree of 
. - An entry
is 
if vertex 
is adjacent to 
. - The vertices
are assumed to be in the order given by VertexList[g]. - The Kirchhoff matrix for a graph will have dimensions
×
where 
is the number of vertices.
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