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Enumerative combinatorics, graph theory, order theory, posets, matroids, designs and other discrete structures. It also includes algebraic, analytic and probabilistic combinatorics.
1
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Uniquely generate all permutations of three digits that sum to a particular value?
This really is the same as finding the plane $x+y+z=n$ in 3-space $\mathbb{R}^3$ and finding the intersection of this plane with the lattice points in $\mathbb{Z}^3$.
Octave code (also matlab code) …
1
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Similarity of weighted graphs
Comparing two graph structures with the same number of vertices and edges to see if they are equivalent would be the graph isomorphism problem. The graph isomorphism problem is known to be NP in comp …