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Home/ Questions/Q 7550821
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Editorial Team
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Editorial Team
Asked: May 30, 20262026-05-30T10:18:55+00:00 2026-05-30T10:18:55+00:00

First : The general running time of Dijkstras Shortest Path algorithm is where m

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First: The general running time of Dijkstras Shortest Path algorithm is

Dijkstra generalrunning time

where m is the number of edges and n the number of vertices

Second: the number of expected decreasekey operations is the following

expected running time

Third: The expected running time of dijkstra with a binary Heap which allows all operations in log(n) time is

expected binary heap

But why is the running time on dense graphs linear if we consider a graph dense if
dense graph

Can someone help with the O-notation and log calculations here?

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  1. Editorial Team
    Editorial Team
    2026-05-30T10:18:57+00:00Added an answer on May 30, 2026 at 10:18 am

    my solution is now the following

    calcu
    enter image description here

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