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45 votes
5 answers
64k views

How large is TREE(3)?

Friedman, in _Lectures notes on enormous integers shows that TREE(3) is much larger than n(4), itself bounded below by $A^{A(187195)}(3)$ (where $A$ is the Ackerman function and exponentiation ...
Feldmann Denis's user avatar
10 votes
2 answers
595 views

Transfinite algorithms

The Ford-Fulkerson algorithm is a classic algorithm that computes the maximum flow in a network. It is well-known that if irrational arc capacities are allowed, the algorithm does not necessarily ...
Tony Huynh's user avatar
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4 votes
1 answer
160 views

Is sum-balanceability computable?

Let $\mathbb{N}$ denote the set of positive integers, and let $G=(V,E)$ be a finite simple, undirected graph. Given $f:V\to \mathbb{Z}$ we define the neighborhood sum function $\mathrm{nsum}_f:V\to\...
Dominic van der Zypen's user avatar