1. Below is depicted a graph G constructed by joining two opposite vertices of C12. Some authors call this a "theta graph" because it resembles the Greek letter 0. a. What is the total degree of this graph? b. What are the possible total degrees of graphs obtained by deleting a vertex of G? c. What are the possible total degrees of graphs obtained by contracting an edge of G?

1. Below is depicted a graph G constructed by joining two opposite vertices of C12. Some authors call this a "theta graph" because it resembles the Greek letter 0. a. What is the total degree of this graph? b. What are the possible total degrees of graphs obtained by deleting a vertex of G? c. What are the possible total degrees of graphs obtained by contracting an edge of G?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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1. Below is depicted a graph G constructed by joining two opposite
vertices of C12. Some authors call this a "theta graph" because it
resembles the Greek letter 0.
a. What is the total degree of this graph?
b. What are the possible total degrees of graphs obtained by
deleting a vertex of G?
c. What are the possible total degrees of graphs obtained by
contracting an edge of G?

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