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Graph theory is the study of graphs, mathematical structures used to model pairwise relations between objects.
8
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Lower bound on pebbling numbers
Out of curiosity, I tried finding the original paper showing that there are graphs that require $n/\log n$ pebbles in the sense of Hopcroft, Paul, and Valiant’s seminal paper “On Time Versus Space”. ( …
5
votes
How long does it take to find a short cycle in a random graph?
Let’s assume we can only query the $i$th edge of a given vertex’s adjacency list (which I am assuming is not sorted) or whether two given vertices are adjacent. In this case it should take $\sqrt n$ q …