501 citations · 581 across the 27 of their papers we have counts for
27 papers
Cycle-Structure Generating Functions for Special Breakpoint Graphs
Max A. Alekseyev, Joseph T. Iosue, Adam Ehrenberg +1
Breakpoint graphs originate in comparative genomics, where their alternating cycles encode relationships between genomes. We study a constrained class of three-colored breakpoint g…
Enumeration of Payphone Permutations
Max A. Alekseyev
The desire for privacy significantly impacts various aspects of social behavior as illustrated by people's tendency to seek out the most secluded spot when multiple options are ava…
Maximizing the number of integer pairs summing to powers of 2 via graph labeling and solving restricted systems of linear (in)equations
Max A. Alekseyev
We address the problem of finding sets of integers of a given size with a maximum number of pairs summing to powers of . By fixing particular pairs, this problem reduces to find…
Classification of integral modular data up to rank 13
Max A. Alekseyev, Winfried Bruns, Sebastien Palcoux +1
This paper classifies the modular data of integral modular fusion categories up to rank 13, and integral half-Frobenius fusion rings up to rank 12. We establish that every perfect…
On Kaprekar's Junction Numbers
Max A. Alekseyev, N. J. A. Sloane
A base-b junction number u has the property that there are at least two ways to write it as u = v + s(v), where s(v) is the sum of the digits in the expansion of the number v in ba…
Orienting Ordered Scaffolds: Complexity and Algorithms
Sergey Aganezov, Pavel Avdeyev, Nikita Alexeev +2
Despite the recent progress in genome sequencing and assembly, many of the currently available assembled genomes come in a draft form. Such draft genomes consist of a large number…