Textfarbe von Labels in TIKZ global per Tikzpicture festlegen

Question

Wie kann ich eine Etikettenfarbe festlegenfür alle Etikettenin einem Tikzpicture? Die eigentliche Textfarbe sollte schwarz bleiben, nur Beschriftungen sollten eine andere Farbe haben.

Unten ist ein MWE:

\documentclass[]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc,trees,fit}

\begin{document}
\begin{tikzpicture}[level/.style={sibling distance=60mm/#1}]

\node [circle,draw] (z){$n$}
  child {node [rectangle,draw] (a) {$\frac{n}{2}$}
    child {node [circle,draw] (b) {$\frac{n}{2^2}$}
      child {node {$\vdots$}
        child {node [circle,draw] (d) {$\frac{n}{2^k}$}}
        child {node [circle,draw] (e) {$\frac{n}{2^k}$}}
      } 
      child {node {$\vdots$}}
    }
    child {node [circle,draw] (g) {$\frac{n}{2^2}$}
      child {node {$\vdots$}}
      child {node {$\vdots$}}
    }
  }
  child {node [circle,draw, label=$LABEL$] (j) {$\frac{n}{2}$}
    child {node [circle,draw] (k) {$\frac{n}{2^2}$}
      child {node {$\vdots$}}
      child {node {$\vdots$}}
    }
  child {node [circle,draw] (l) {$\frac{n}{2^2}$}
    child {node {$\vdots$}}
    child {node (c){$\vdots$}
      child {node [circle,draw] (o) {$\frac{n}{2^k}$}}
      child {node [circle,draw] (p) {$\frac{n}{2^k}$}
        child [grow=right] {node (q) {$=$} edge from parent[draw=none]
          child [grow=right] {node (q) {$O_{k = \lg n}(n)$} edge from parent[draw=none]
            child [grow=up] {node (r) {$\vdots$} edge from parent[draw=none]
              child [grow=up] {node (s) {$O_2(n)$} edge from parent[draw=none]
                child [grow=up] {node (t) {$O_1(n)$} edge from parent[draw=none]
                  child [grow=up] {node (u) {$O_0(n)$} edge from parent[draw=none]}
                }
              }
            }
            child [grow=down] {node (v) {$O(n \cdot \lg n)$}edge from parent[draw=none]}
          }
        }
      }
    }
  }
};

\node[draw,fill=black, fill opacity=.1, densely dotted,fit=(o) (p),inner sep=5pt,label=$LABEL$] {};

\end{tikzpicture}
\end{document}

Ausgabe:

Answer 1

Wir können nutzen diejedes EtikettStil, ein Stil, der nur für alle giltKnotenerstellt mit demEtikettMöglichkeit.

\documentclass[]{standalone}
\usepackage{tikz}
\usetikzlibrary{calc,trees,fit}

\begin{document}
\begin{tikzpicture}[level/.style={sibling distance=60mm/#1},
                    every label/.style={text=red}, % <------------
                    ]

\node [circle,draw] (z){$n$}
  child {node [rectangle,draw] (a) {$\frac{n}{2}$}
    child {node [circle,draw] (b) {$\frac{n}{2^2}$}
      child {node {$\vdots$}
        child {node [circle,draw] (d) {$\frac{n}{2^k}$}}
        child {node [circle,draw] (e) {$\frac{n}{2^k}$}}
      } 
      child {node {$\vdots$}}
    }
    child {node [circle,draw] (g) {$\frac{n}{2^2}$}
      child {node {$\vdots$}}
      child {node {$\vdots$}}
    }
  }
  child {node [circle,draw, label=$LABEL$] (j) {$\frac{n}{2}$}
    child {node [circle,draw] (k) {$\frac{n}{2^2}$}
      child {node {$\vdots$}}
      child {node {$\vdots$}}
    }
  child {node [circle,draw] (l) {$\frac{n}{2^2}$}
    child {node {$\vdots$}}
    child {node (c){$\vdots$}
      child {node [circle,draw] (o) {$\frac{n}{2^k}$}}
      child {node [circle,draw] (p) {$\frac{n}{2^k}$}
        child [grow=right] {node (q) {$=$} edge from parent[draw=none]
          child [grow=right] {node (q) {$O_{k = \lg n}(n)$} edge from parent[draw=none]
            child [grow=up] {node (r) {$\vdots$} edge from parent[draw=none]
              child [grow=up] {node (s) {$O_2(n)$} edge from parent[draw=none]
                child [grow=up] {node (t) {$O_1(n)$} edge from parent[draw=none]
                  child [grow=up] {node (u) {$O_0(n)$} edge from parent[draw=none]}
                }
              }
            }
            child [grow=down] {node (v) {$O(n \cdot \lg n)$}edge from parent[draw=none]}
          }
        }
      }
    }
  }
};

\node[draw,fill=black, fill opacity=.1, densely dotted,fit=(o) (p),inner sep=5pt,label=$LABEL$] {};

\end{tikzpicture}
\end{document}