Algorithmische Graphentheorie, 4th Edition

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Ausmultiplizieren zu beweisende Gleichung

Hierbei ist I die Einheitsmatrix und . Aus wird wieder eine Matrix E gebildet:

Da x mindestens n − 1 ist, folgt mit Hilfe des ersten in diesem Abschnitt bewiesenen Lemmas, dass E wieder die Erreichbarkeitsmatrix von G ist. Zur Bestimmung von sind 2[log₂ n] Matrixmultiplikationen notwendig. Somit kann ...

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