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Tag Archives: algorithms
Babai’s Updated Results–Graph Isomophism Still Solved in Quasipolynomial Time
Many days overdue on this post but I felt obligated to post this for posterity’s sake (even at woefully so late a time) because the previous post on my blog no longer holds. Laszlo Babai has (since 9 days ago…) … Continue reading
Babai’s Result: Still a Breakthrough — Gödel’s Lost Letter and P=NP
Even after today’s retraction of quasipolynomial time for graph isomorphism László Babai is famous for many things, and has made many seminal contributions to complexity theory. Last year he claimed that Graph Isomorphism (GI) is in quasipolynomial time. Today Laci … Continue reading
Paper and Puzzle a Day 8
Again, I’ve been slightly lax on posting a puzzle and paper a day. Here I am picking up the slack once again. First, a paper. I’ve been reading up on cacheoblivious algorithms recently. Cacheoblivious algorithms are optimal algorithms that do … Continue reading
Paper and Puzzle a Day 7
I’ve been reading up more about hinged dissections and came across a shorter paper than the one I mentioned in my previous post. This paper proves that hinged dissections are PSPACEhard using a reduction from NCL with some neat gadgets. … Continue reading
Iterated Log Algorithms
The iterated logarithm is the number of times the logarithm function must be applied to a number before the result is at most . A runtime of is almost, very nearly almost constant but not quite as good as constant … Continue reading
Paper and Puzzle a Day 5
Today marks another paper and another puzzle so let’s get started. Fractional Cascading is a pretty awesome idea for speeding up searches for the same value in multiple sorted lists. Given lists, a naive algorithm would take time because it … Continue reading
Paper and Puzzle a Day 4
Still a pretty early morning post considering the time I got up… First, the paper: Recently came across the following paper, “Pessimal Algorithms and Simplexity Analysis.” This is the first couple of sentences in the paper, and I have to … Continue reading