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== Proof of correctness ==
The correctness of the algorithm can be shown by [[mathematical induction|induction]]:<ref name="web.stanford.edu"/><ref>{{Cite journal |last=Dinitz |first=Yefim |last2=Itzhak |first2=Rotem |date=2017-01-01 |title=Hybrid Bellman–Ford–Dijkstra algorithm |url=https://www.sciencedirect.com/science/article/pii/S1570866717300011 |journal=Journal of Discrete Algorithms |volume=42 |pages=35–44 |doi=10.1016/j.jda.2017.01.001 |issn=1570-8667|url-access=subscription }}</ref>
'''Lemma'''. After ''i'' repetitions of ''for'' loop,
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