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math.CO2026
Antichains among Divisor Sums of Divisors
Felix Huber
For a positive integer , let be ordered by divisibility, and let be its width. We study how much of the divisor lattice of survives under the…
math.CO2026
Extremal Least Common Multiples in Rows of Pascal's Triangle
Felix Huber
For , let be the set of distinct entries in row of Pascal's triangle. We study the le…
math.CO2026
Large Sidon Subsets and Pair-Sum Multiplicities of Distinct Multinomial Coefficients
Felix Huber
For a positive integer , let be the set of distinct multinomial coefficient values , where ranges over the integer parti…
math.CO2026
Iterated Distinct Absolute Differences of Integer Compositions
Felix Huber
Starting from an integer composition, form its consecutive absolute differences, provided that they are nonzero and pairwise distinct, and then permute these differences arbitraril…