# Differences

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 adjacency_matrix [2014/02/14 13:41]nikolaj adjacency_matrix [2014/02/14 13:41]nikolaj Both sides previous revision Previous revision 2014/02/14 13:41 nikolaj 2014/02/14 13:41 nikolaj 2014/02/13 16:13 external edit2014/02/10 11:57 nikolaj 2014/02/10 11:56 nikolaj 2014/02/08 02:59 nikolaj 2014/02/08 02:12 nikolaj 2014/02/08 02:11 nikolaj old revision restored (2013/12/21 19:57) 2014/02/14 13:41 nikolaj 2014/02/14 13:41 nikolaj 2014/02/13 16:13 external edit2014/02/10 11:57 nikolaj 2014/02/10 11:56 nikolaj 2014/02/08 02:59 nikolaj 2014/02/08 02:12 nikolaj 2014/02/08 02:11 nikolaj old revision restored (2013/12/21 19:57) Line 10: Line 10: If the indices $i,j$ label two vertices of a [[finite undirected graph]], then the value $A_{ij}$ determines the number of edges joining them. If the indices $i,j$ label two vertices of a [[finite undirected graph]], then the value $A_{ij}$ determines the number of edges joining them. === Theorems === === Theorems === - The number $(A^n)_{ij}$ is the number of paths from $v_i$ to $v_j$. And so, for example, $\frac{1}{2}\frac{1}{3}\mathrm{tr}\,​A^3$ is the number of triangles in the graph. + The number $(A^n)_{ij}$ is the number of paths from $v_i$ to $v_j$. And so, for example, $\frac{1}{2}\cdot\frac{1}{3}\cdot\mathrm{tr}\,​A^3$ is the number of triangles in the graph. ==== Parents ==== ==== Parents ==== === Subset of === === Subset of === 