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Results tagged with space-bounded
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user 21001
Questions about space resources of computations in computational complexity or algorithms.
4
votes
2
answers
390
views
Minimal encoding of a set (unordered collection of elements)?
Assume you have universe $\mathcal{U}=\{e_1,e_2,\ldots e_N\}$.
If we like to encode an ordered sequence of $k$ elements from $\mathcal{U}$, it's not hard to argue that $k\log |\mathcal{U}|$ bits are …
- 9,508
3
votes
1
answer
315
views
Number of bits required for encoding variables with fixed sum?
Assume we'd like to be able to encode variables $x_1,x_2,\cdots,x_r\in \mathbb{N}$, such that $\forall i\in[r]:1\leq x_i\leq N$ and $$\sum_{i=1}^{r}x_i=M$$
It's easy to store the variables using $r\l …
- 9,508
7
votes
0
answers
278
views
Integer queue summation
As part of a project I'm working on, we came up with an efficient algorithm for approximating the sum of an integers queue.
The setting is as follows: Let $\epsilon>0$. we need to maintain a space-ef …
- 9,508