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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
vote
Assigning unique binary strings to the squares of a chessboard s.t. inter-string Hamming dis...
Ignoring uniqueness, short answer is that for $\min(n_1, n_2) > C$ we need exactly $L = 2C$ bits.
When you want global uniquness, you can solve this with $L = \log_2 \left(\frac{n_1 n_2}{C^2}\right) …
-1
votes
Degree Sequence Problem on $k$-Partite Graphs
The problem, as I understand it, is not NP-hard. Assuming that the given partition and degree distribution is feasible, a greedy algorithm will give you a $k$-partite graph.
Here is the idea:
Notat …