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math.CO2026
Exact diameter compression for four-point sumset cardinalities
Enkai Zhang
The least interval diameter needed to realize every attainable cardinality of an -fold sumset of a four-element integer set is for and $…
math.CO2026
The additive-square-free spectrum below 139
Enkai Zhang
For a finite real alphabet , let be the supremum of the lengths of words over containing no two adjacent nonempty blocks of equal length and equal sum. We classify al…
math.CO2026
Density regions, integer certificates and packing colorings of distance graphs
Enkai Zhang
We study simultaneous color densities in packing colorings of integer distance graphs. For , we determine several exact density regions and prove that colors through $7…