Question
Prove that a connected graph can always be contracted to a single vertex.
Step 1
A connected graph is a graph in which there is a path between every pair of vertices. This means that we can always find a way to travel from one vertex to another within the graph. Show more…
Show all steps
Your feedback will help us improve your experience
Prathan Jarupoonphol and 94 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Show that in a simple graph with at least two vertices there must be two vertices that have the same degree.
Graphs
Graph Terminology and Special Types of Graphs
Show that in every simple graph there is a path from every vertex of odd degree to some other vertex of odd degree.
Connectivity
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD
Algebra educators are ready to help you.