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Simon de Givry
enac
Commits
319294f4
Commit
319294f4
authored
Oct 14, 2019
by
George Katsirelos
Browse files
shorten complexity section
parent
633e709a
Changes
2
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Graphe-Slides.pdf
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Graphe-Slides.tex
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...
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@@ -3954,7 +3954,7 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
{
Languages
}
\begin{frame}
{
Languages
}
\begin{block}
{
Language
}
A language
$
\mathcal
{
L
}$
is an infinite set of strings
\end{block}
...
...
@@ -4032,6 +4032,7 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\shrink
{
\begin{frame}
{
Computational models
}
In order to define computational properties, we need an abstract
machine model on which we can measure resource use
...
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@@ -4180,6 +4181,7 @@ On a $c(T) \leq c(H^*)$
problems.
\end{frame}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
{
Algorithmic complexity
}
...
...
@@ -4220,7 +4222,8 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
{
P-Completeness
}
\shrink
{
\begin{frame}
{
P-Completeness
}
\begin{block}
{
Class
$
P
$}
Languages recognized in polynomial time in the RAM model
\end{block}
...
...
@@ -4251,7 +4254,7 @@ On a $c(T) \leq c(H^*)$
connected?
\end{block}
\end{frame}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
{
NP
}
\begin{block}
{
Informal definition
}
...
...
@@ -4389,7 +4392,8 @@ On a $c(T) \leq c(H^*)$
\end{frame}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
{
Function Problems
}
\shrink
{
\begin{frame}
{
Function Problems
}
\begin{itemize}
\item
P, NP contain only
\emph
{
decision
}
problems. Functions
belong to
$
FP
$
or
$
FNP
$
.
...
...
@@ -4434,6 +4438,7 @@ On a $c(T) \leq c(H^*)$
\begin{frame}
{
Complexity Classes
}
\includegraphics
[width=\textwidth]
{
complexity-classes
}
\end{frame}
}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\begin{frame}
{
Dealing with NP-completeness
}
...
...
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