Questions: Does this graph contain an Euler circuit?

Transcript text: Does this graph contain an Euler circuit?

Solution

Solution Steps

Step 1: Check for connectedness

The graph is connected, meaning there is a path between any two vertices.

Step 2: Check the degree of each vertex

Vertex A: Degree 3 Vertex B: Degree 3 Vertex C: Degree 3 Vertex D: Degree 3 Vertex E: Degree 2

Step 3: Euler Circuit Condition

An Euler circuit exists if and only if the degree of every vertex is even. Since vertices A, B, C, and D have odd degrees, this graph does not contain an Euler circuit.

Final Answer No

Was this solution helpful?

Unhelpful

Helpful

Questions asked by other users

< Previous Next >