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Unanswered Questions

3,747 questions with no upvoted or accepted answers
-3 votes
1 answer
188 views

Is any procedure satisified by the principle of least action able to be simulated by Turing Machine?

The Hamilton action $S$ is defined as following: $$S=\int^T_0 L(q,\dot{q})dt$$ the integral along any actual or virtual (conceivable or trial) space-time trajectory q(t) connects two specified space-...
-4 votes
0 answers
41 views

P va NP regarding

I have discovered a deterministic polynomial time algorithm for generalized n^2 x n^2 Sudoku puzzle, my program can solve any given valid Sudoku puzzle in steps by reasoning almost like a man. The ...
-4 votes
0 answers
69 views

Is P/poly included in NP?

I learned that $\textsf{P/poly}$ is a class of problems computable by a polynomial-size circuit. This class is considered a class of problems such that there exists a polynomial-time algorithm that is ...
-4 votes
1 answer
561 views

does within the "range a and b" include a and b?

I have not found the answer to this doubt of mine elsewhere, hence posting it here. It may be a silly question but I just want to be sure :P would be great if someone could help me out with this ...
-4 votes
1 answer
544 views

Distinguish Graph from Tree using Adjacency Matrix

Given an adjacency matrix, is there a way to determine if the graph will be a tree or a graph (whether or not there is a cycle). For example, given the adjacency matrix: ...
-4 votes
1 answer
70 views

Proving NP-complete problem

Suppose the following problem: Given an undirected graph G=(V,E), is it possible to choose a subset V' of vertex set V, such that deleting it removes all triangles (cycles of length 3), where |V'| is ...
-4 votes
1 answer
1k views

Subset-Sum modulo small primes

I was thinking about the strategy of solving Subset-Sum (with a set of size n and integers having n bits each) by using Dynamic Programming (described here: http://en.wikipedia.org/wiki/...
-4 votes
1 answer
2k views

Find sentences with similar relative meaning from a list of sentences against an example one

I want to be able to find sentences with the same meaning. I have a query sentence, and a long list of millions of other sentences. Sentences are words, or a special type of word called a symbol which ...
-4 votes
1 answer
889 views

Proving NP-hardness of scheduling problem (total weighted completion time)

Consider the problem $P \mid \mid \sum w_j C_j$. I want to prove that this problem is (strongly) NP-hard by reducing from $3$-Partition, but I am not really sure how to do this. Just to be precise, ...
-5 votes
1 answer
36 views

Seeking Help to Verify Algorithm for Chromatic Number in Polynomial Time

Recently, I wrote a paper (not published yet) about an algorithm that calculates the chromatic number of any graph in polynomial time. I have mathematical proof to support it, but it needs ...
-5 votes
1 answer
291 views

Some questions (still) unresolved about braids?

I was looking for interesting questions pertaining to braid theory. I don't know if the following are considered important, but I'd like to ask: (1) in relation with the following link, is it true ...
-5 votes
1 answer
377 views

Attacking TSP via small nonintersecting circuits

Consider the problem of finding smaller "non-intersecting" circuits or paths in graphs embedded in the euclidean plane (visiting all vertices) in the sense of geometric intersections of edges plotted ...

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