diff --git a/chapter11.tex b/chapter11.tex
index 110e2f4..a859926 100644
--- a/chapter11.tex
+++ b/chapter11.tex
@@ -314,7 +314,7 @@ and the \key{outdegree} of a node
 is the number of edges that start at the node.
 For example, in the following graph,
 the indegree of node 2 is 2
-and the outdegree of the node is 1.
+and the outdegree of node 2 is 1.
 
 \begin{center}
 \begin{tikzpicture}[scale=0.9]
diff --git a/chapter16.tex b/chapter16.tex
index 09d99cb..941b053 100644
--- a/chapter16.tex
+++ b/chapter16.tex
@@ -658,8 +658,8 @@ achieves these properties.
 \index{Floyd's algorithm}
 
 \key{Floyd's algorithm}\footnote{The idea of the algorithm is mentioned in \cite{knu982}
-and attributed to R. W. Floyd; however, it is not known if Floyd was the first
-who discovered the algorithm.} walks forward 
+and attributed to R. W. Floyd; however, it is not known if Floyd actually
+discovered the algorithm.} walks forward 
 in the graph using two pointers $a$ and $b$.
 Both pointers begin at a node $x$ that
 is the starting node of the graph.
diff --git a/chapter19.tex b/chapter19.tex
index d000a7e..c941f15 100644
--- a/chapter19.tex
+++ b/chapter19.tex
@@ -22,7 +22,7 @@ problem and no efficient algorithm is known for solving the problem.
 
 \index{Eulerian path}
 
-An \key{Eulerian path}\footnote{L. Euler (1707--1783) studied such paths in 1736
+An \key{Eulerian path}\footnote{L. Euler studied such paths in 1736
 when he solved the famous Königsberg bridge problem.
 This was the birth of graph theory.} is a path
 that goes exactly once through each edge in the graph.