All Questions
4 questions
4
votes
1
answer
1k
views
Complexity of convex polytope volume calculation ? (Volume of Voronoi cell) (Error probability)
Assume I have polytope in R^k given by N (k<< N) linear inequalities (A_i x < b_i).
I guess complexity of its volume calculate is higher than linear in "N", am I right ?
(Is the complexity ...
15
votes
7
answers
3k
views
Compressing Graphs (Kolmogorov complexity of graphs)
What is known about compressing graphs? Here, with "compressing", I mean something like "putting a graph into a zip program"; or with a more technical expression, what is know about the Kolmogorov ...
2
votes
2
answers
249
views
Indexing schemes of binary sequences
I am looking for "low-complexity" indexing methods to enumerate binary sequences of a given length and a given weight.
Formally, let $T_k^n = \{x_1^n \in \{0,1\}^n: \sum_{i=1}^n x_i = k\}$. How to ...
12
votes
4
answers
4k
views
reversible Turing machines
Hello,
Let T be a Turing machine such that
1) it operates on the alphabet {0,1},
2) its set of states is A
3) the language it accepts is $L$ .
Does there exists a Turing machine S which also ...