Question

What is the difference between pendant vertex and isolated vertex

Answer 1

Hope it helps..........

Answer 2

Isolated Vertices, Leaves, and Pendant Edges
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Table of Contents
Isolated Vertices, Leaves, and Pendant Edges
Isolated Vertices
Leaves
Pendant Edge
Isolated Vertices, Leaves, and Pendant Edges
Isolated Vertices
Definition: For a graph G=(V(G),E(G)), a vertex x1∈V(G) is considered Isolated if deg(x1)=0.
For example, the following graph has one isolated vertex:

Screen%20Shot%202014-02-18%20at%207.25.07%20PM.png
Note that if a graph has an isolated vertex, then the graph is disconnected.

Leaves
Definition: For a graph G=(V(G),E(G)), a vertex x1∈V(G) is considered a Leaf if deg(x1)=1.
For example, the following graph has one leaf, namely the vertex labelled "1":

Screen%20Shot%202014-02-18%20at%207.27.20%20PM.png
Pendant Edge
Definition: For a graph G=(V(G),E(G)), an edge connecting a leaf is called a Pendant Edge.
From the example earlier, we can highlight the pendant edge of the graph:

Screen%20Shot%202014-02-18%20at%207.29.07%20PM.png