5.4.2.1 - Case 1: Vertex v is Adjacent
Enroll to start learning
You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.
Practice Questions
Test your understanding with targeted questions
What is a degree sequence?
💡 Hint: Think about how you order numbers.
Can a degree sequence contain negative numbers?
💡 Hint: Consider what a negative degree would imply.
4 more questions available
Interactive Quizzes
Quick quizzes to reinforce your learning
What is a graphic sequence?
💡 Hint: Consider the definitions we just discussed.
True or False: The sum of degrees in a graphic sequence can be odd.
💡 Hint: Remember the connection between edges and vertex degrees.
1 more question available
Challenge Problems
Push your limits with advanced challenges
Prove that the sequence (4, 3, 2, 2, 1) is graphic using the Havel-Hakimi theorem.
💡 Hint: Use the steps of reduction methodically.
Construct a graphic sequence for a simple triangle and a simple square.
💡 Hint: Consider the number of vertices and edges in each shape.
Get performance evaluation
Reference links
Supplementary resources to enhance your learning experience.