What does the degree of a vertex represent in an academiccollaboration graph? What does the neighborhood of avertex represent? What do isolated and pendant verticesrepresent?
What does the degree of a vertex represent in an academiccollaboration graph? What does the neighborhood of avertex represent? What do isolated and pendant verticesrepresent?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
What does the degree of a vertex represent in an academic
collaboration graph? What does the neighborhood of a
vertex represent? What do isolated and pendant vertices
represent?
Expert Solution
Step 1
Definition Used-
- In a graph, Degree of a vertex is equal to the number of edges that are incident with it.
- In a graph G, the neighborhood of a vertex v is the sub-graph of G induced by all vertices adjacent to v.
- An isolated vertex is a vertex which is of degree zero.
- A pendent vertex is a vertex which is of degree one.
Step by step
Solved in 2 steps
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,