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Algorithmics

Which grows strictly faster?

Sublinear n^{c}

Algorithmics

Which grows faster?

Polynomial n^k

Algorithmics

Is it allowed to walk a edge two times in a Hamilton circuit?

Yes

Algorithmics

When is d an extremal point in X(I) with regard to the slacking extension?

If the slacking extension of d is zero at n linearly independent positions and ist positive at every position.

Algorithmics

Which grows strictly faster?

n^{k}

Algorithmics

Name apparently unfeasible problems.

- SAT: Satisfiability of Boolean formal in conjunctive normal /CNF-formulas)
- Traveling Salesman Problem
- Maximum Clique Problem
- Solving Linear Integer Programs
- Computation of Discrete Logarithms and Integer Factorization

Algorithmics

Define NPC.

class of NP-complete problems

Algorithmics

State an NP-complete problem.

SAT (Cook Theorem)

Algorithmics

How to show that a NP-problem L is np-complete?

- find an appropriate NP-complete problem L'
- and construct a polynomial reduction g form L' to L

Algorithmics

Describe the Growth order of the Simplex Method.

- Worst case running time is exponential in n and m
- average running time is polynomial
- in practice the simplex method performs well

Algorithmics

When does the point d fulfill n independent restrictions in I with equality?

If the slacking extension of d is zero at n linearly independent positions

Algorithmics

When is it true that d in X(I) in regard to the slacking extension?

If d has only nonnegative components

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