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math.CO2026
Enumerating separable derangements
Robert Dougherty-Bliss, Alejandro B. Galván, Michaela A. Polley +1
We give a polynomial-time algorithm to compute the number of separable derangements of . This algorithm is based on a generating function technique which tracks permutat…
math.CO2026
In How Many Ways can a Rectangle be Rectangled?
Pablo Blanco, Robert Dougherty-Bliss, Natalya Ter-Saakov +1
There are ways to tile a rectangle with rectangular tiles (of any length, of course they all must have width ), but in how many ways can you tile a $100 \…
math.CO2026
Necklaces, subset sums, and cyclic permutations
Robert Dougherty-Bliss, Sergi Elizalde
It is a well known that, for odd , the number of subsets of the sum of whose elements is divisible by equals the number of binary necklaces of length .…