Calculating genus polynomials via string operations and matrices
Gross, Jonathan L. ...
Za izračunavanje rodnih polinomov rekurzivno določljivega zaporedja grafov se množico celičnih vložitev v orientabilne ploskve za vsakega od grafov običajno razdeli v vložitvene tipe. Učinki ...grafovske operacije ▫$\tau$▫, rekurzivno uporabljene na vsakem od vložitvenih tipov, so predstavljeni s produkcijsko matriko. Kadar operacija ▫$\tau$▫ omogoča konstruiranje naslednjega člana zaporedja z dodajanjem kopije danega grafa ▫$H$▫ k prejšnjemu članu, se dobljeno zaporedje grafov po Stahlu imenuje ▫$H$▫-linearna družina. Tukaj pokažemo, kako nam predstavitev vložitvenih tipov z zaporedji znakov in operacije ▫$\tau$▫ z operacijami na zaporedjih znakov omogoča avtomatizirati izračunavanje produkcijskih matrik; to delo zahteva čas, sorazmeren kvadratu števila vložitvenih tipov.
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