Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. ii. let g = (v, e) be a tree. prove g has |v | ?..

ii. Let G = (V, E) be a tree. Prove G has |V | ?...

70.2K

Verified Solution

Question

Advance Math

ii. Let G = (V, E) be a tree. Prove G has |V | ? 1 edges usingstrong induction. Hint: In the inductive step, choose an edge (u,v) and partition the set vertices into two subtrees, those that arereachable from u without traversing (u, v) and those that arereachable from v without traversing (u, v). You will have to reasonwhy these subtrees are distinct subgraphs of G.

iii. What is the total degree of a tree?

Answer & Explanation Solved by verified expert
3.5 Ratings (318 Votes)
    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Chemistry
1.2K views

the acid-dissociation constant for benzoic acid is 6.3*10^-5. calculate the equilibrium constant concentration of h30+, C6H5COO-, and...

Biology
1.2K views

4. Give an overview of how fatty acids are synthesised in vivo and explain how the...

Biology
1.2K views

Pure Culture A plate of Staphylococcus aureus with a fungal colony your standing of pure...

Biology
1.2K views

The notion that the extinction event was catastrophic was initially triggered because the above fossils...

Physics
1.2K views

a c 1020 2 C The resistance of the wire in the platinum resistance thermometer...

Basic Math
1.2K views

At noon ship A is 50 nautical miles due west of ship B Ship A...

Basic Math
1.2K views

A cellular service provider charged a customer $40 for 150 minutes of airtime. The same...

Calculus
1.2K views

Use continuity to evaluate the limit lim sin tan cos 0 0 3 2

Accounting
1.2K views

Which account would be reported on the income statement? Question content area...

Accounting
1.2K views

Mr. Cole is considering purchasing a new principal residence for $1,500,000 and intends to finance...

Accounting
1.2K views

P Corporation paid $140,000 for a 70% interest in S Inc. on January 1, 2014,...

Accounting
1.2K views

Zama Zondi is employed in the manufacturing section of a factory. She is entitled to...