A tree has 7 vertices. (i) How many edges this tree can have? (ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of next vertex? Show all your work. (iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such tree? Explain with detail
A tree has 7 vertices. (i) How many edges this tree can have? (ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of next vertex? Show all your work. (iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such tree? Explain with detail
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 71E
Related questions
Question
A tree has 7 vertices.
(i) How many edges this tree can have?
(ii) If the degrees of first six vertices are 1,1,1,2,2 and 3 then what is the degree of
next vertex? Show all your work.
(iii) If the degrees of vertices are 1,1,2,2,3,3 and 4 then is it possible to have such
tree? Explain with detail.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning