I am taking a complexity course and I am having trouble with coming up with reductions between NPC problems. How can I find reductions between problems? Is there a general trick that I can use? How should I approach a problem that asks me to prove a problem is NPC?
Is it not possible to view FACTOR as a special case of KNAPSACK?
When I see the knapsack problem, or subset sum for that matter, I see a factoring problem.
If the language for factoring is:
FACTOR = {(N,r) there is a g, 1 < g < r, such that f(g) = 0
∑xi = g, xi⊆ {1, . . . , n}, f(g) = ...
In many text books NP problems are defined as:
Set of all decision problems solvable by non deterministic algorithms in polynomial time
I couldn't understand the part "solvable by non deterministic algorithms". Anyone please explain that
I need to cover these topics in Role Mining. If anyone knows good site which well summarizes the topics and concepts are well explained please help out.
Basic role mining problem
• Delta-approx RMP
• Min-noise RMP
• Nature of the RMP problems
• Mapping RMP to database tiling problem
• Minimum ti...
Some users are not familiar with the LaTeX notations, which is perfectly fine, but it would be better if we could refer them to some FAQ/help page that explain the basic commands, in a similar way to the markdown edit-help.
I suggest to add to the editing help page a short summary of basic Latex...
Imagine a completely sequential program $P$ written as a sequence of instructions $(i_1, i_2, ..., i_n)$. Define a class of relations over the set $I$ of all possible instructions as follows:
$S_P$, where $i S_P j$ if and only if $i$ must be executed before $j$ in order to guarantee an executio...
Given a set of elements
$$\Sigma = \{\sigma_1, \sigma_2, ..., \sigma_n\}$$
and a set of triplets
$$S = \{(\sigma_i, \sigma_j, \sigma_k) | \sigma_i, \sigma_j, \sigma_k \in \Sigma, i \neq j, j \neq k, i \neq k\}$$
find an algorithm which either constructs an ordering $\rho_S = (\sigma_{m_1}, \sigma...
I am writing a Program, solving the "Chinese Postman Problem" in an undirected Graph and currently facing the problem to find the best "additional" Edges to connect the uneven knots. So I can compute an Euler-Tour.
There might be (considering the size of the Graph that wants to be solved) an eno...
Here is an equivalent and more natural interpretation:
A problem $L$ is said to be in $NP$ if there is a deterministic polynomial-time algorithm for all $x\in L$ which verifies the membership of $x$ in $L$ using a short certificate $y$ ($|y| \lt |x|^c$).
@Gilles this is actually the answer that leaves my intuition the coldest by far
@ComputerScience @Patrick87 Why did you delete this question?
Admittedly, your model looks odd (but then I know nothing about compilers), because it seems to assume a sequential processor
While examining the package Library ZFC.Sets, I found the following definition:
Definition Paire : forall E E' : Ens, Ens.
intros.
apply (sup bool).
simple induction 1.
exact E.
exact E'.
Defined.
I don't care, for the moment what is actually defined. What I do care about is that I don't unders...
Is it not possible to view FACTOR as a special case of KNAPSACK?
When I see the knapsack problem, or subset sum for that matter, I see a factoring problem.
If the language for factoring is:
FACTOR = {(N,r) there is a g, 1 < g < r, such that f(g) = 0
∑xi = g, xi⊆ {1, . . . , n}, f(g) = ...
In many text books NP problems are defined as:
Set of all decision problems solvable by non deterministic algorithms in polynomial time
I couldn't understand the part "solvable by non deterministic algorithms". Anyone please explain that
What is a plain English explanation of Big O? With as little formal definition as possible and simple mathematics.
Here is an equivalent and more natural interpretation:
A problem $L$ is said to be in $NP$ if there is a deterministic polynomial-time algorithm for all $x\in L$ which verifies the membership of $x$ in $L$ using a short certificate $y$ ($|y| \lt |x|^c$).
While examining the package Library ZFC.Sets, I found the following definition:
Definition Paire : forall E E' : Ens, Ens.
intros.
apply (sup bool).
simple induction 1.
exact E.
exact E'.
Defined.
I don't care, for the moment what is actually defined. What I do care about is that I don't unders...
