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Added presentation

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Markus Bullmann
2019-05-01 10:46:15 +02:00
parent b99d519aa7
commit 569f924fe3
133 changed files with 168314 additions and 0 deletions
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presentation/resources/symbols.tex Normal file
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% GENERAL
\newcommand{\mathset}[1]{\vec{#1}}
\newcommand{\numbersystem}[1]{\mathbb{#1}}
\newcommand{\numbersystemNatural}{\numbersystem{N}}
\newcommand{\numbersystemReal}{\numbersystem{R}}
\newcommand{\optimalTour}{R^*}
\newcommand{\tour}{R}
% Limit-Notation
\newcommand{\LIMITbigO}{O}
\newcommand{\LIMITbigOmega}{\Omega}
\newcommand{\LIMITbigTheta}{\Theta}
% NP / P
\newcommand{\NPnotP}{\textrm{NP} \not= \textrm{P}}
% Algorithms
\newcommand{\ALGOapprox}{A}
\newcommand{\ALGOapproxSolutionForI}{\ALGOapprox(\PROBLEMinput)}
% Graphs
\newcommand{\GRAPHfullyConnected}[1]{K_{#1}}
\newcommand{\GRAPHedges}{\vec{E}}
\newcommand{\GRAPHedgesCount}{|\GRAPHedges|}
\newcommand{\GRAPHvertices}{\vec{V}}
\newcommand{\GRAPHverticesCount}{|\GRAPHvertices|}
\newcommand{\GRAPHcost}{c}
\newcommand{\GRAPHcostOf}[2]{\GRAPHcost({#1},{#2})}
\DeclareMathOperator{\GRAPHneighbors}{\bm{\Gamma}}
% Insert-Heuristics
\DeclareMathOperator\EH{EH}
% Christofides
\DeclareMathOperator\CH{CH}
% Vertexcolor
\newcommand{\GREEDYISstep}{t}
\DeclareMathOperator\GREEDYISdelete{lösch}
\newcommand{\GREEDYISdeletionStepSize}{\gamma_\GREEDYISstep}
\newcommand{\GREEDYISdeletedStepGoodNodes}{\kappa_\GREEDYISstep}
\newcommand{\GREEDYISnodeWithSmallestDeg}{u_\GREEDYISstep}
\newcommand{\GREEDYISindependentSet}{\vec{U}}
\newcommand{\GREEDYISindependentSetCount}{|\GREEDYISindependentSet|}
\newcommand{\GREEDYISoptimalIndependentSet}{\GREEDYISindependentSet^*}
\newcommand{\GREEDYISoptimalIndependentSetCount}{|\GREEDYISoptimalIndependentSet|}
% Impossibletsp
\newcommand{\IMPOSSIBLETSPguete}{r}
%-------------
% Algo-Names
%-------------
% GreedyIS
\newcommand{\ALGOgreedyIS}{\textsc{GreedyIS}}
% GreedyCol
\newcommand{\ALGOgreedyColor}{\textsc{GreedyCol}}
% GreedyCol2
\newcommand{\ALGOgreedyColorTwo}{\textsc{GreedyCol2}}