References etc.
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@ -123,7 +123,8 @@ maximum spanning trees by processing the edges in reverse order.
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\index{Kruskal's algorithm}
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In \key{Kruskal's algorithm} \cite{kru56}, the initial spanning tree
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In \key{Kruskal's algorithm}\footnote{The algorithm was published in 1956
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by J. B. Kruskal \cite{kru56}.}, the initial spanning tree
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only contains the nodes of the graph
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and does not contain any edges.
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Then the algorithm goes through the edges
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@ -409,7 +410,11 @@ belongs to more than one set.
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Two $O(\log n)$ time operations are supported:
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the \texttt{union} operation joins two sets,
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and the \texttt{find} operation finds the representative
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of the set that contains a given element.
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of the set that contains a given element\footnote{The structure presented here
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was introduced in 1971 by J. D. Hopcroft and J. D. Ullman \cite{hop71}.
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Later, in 1975, R. E. Tarjan studied a more sophisticated variant
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of the structure \cite{tar75} that is discussed in many algorithm
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textbooks nowadays.}.
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\subsubsection{Structure}
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@ -567,7 +572,10 @@ the smaller set to the larger set.
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\index{Prim's algorithm}
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\key{Prim's algorithm} \cite{pri57} is an alternative method
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\key{Prim's algorithm}\footnote{The algorithm is
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named after R. C. Prim who published it in 1957 \cite{pri57}.
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However, the same algorithm was discovered already in 1930
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by V. Jarník.} is an alternative method
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for finding a minimum spanning tree.
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The algorithm first adds an arbitrary node
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to the tree.
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