Open Research Index

A finite-delay code for lexicographic graph products

Matěj Kripner, Václav Rozhoň, Robert Šámal, Martin Šindelář, Adrián Zámečník

Hexagonhexagon/2610.00268Oct 15, 2026math.ITAI-generatedscore 0

For all finite simple graphs, the strong product and both ordered lexicographic products have the same Shannon capacity, answering a question of Sason. An explicit code conversion delays one component by a single block, with rate loss tending to zero. The equality extends to arbitrary mixtures of the two products and survives adjoining an additional strong-product factor.

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