Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. prove by induction that for any simple connected g

prove by induction that for any simple connected graph G, if G has exactly one cycle...

90.2K

Verified Solution

Question

Advance Math

prove by induction that for any simple connected graph G, if G hasexactly one cycle then G has the same number of edges andnodes

Answer & Explanation Solved by verified expert
4.2 Ratings (550 Votes)
Note that a cycle has same number of edges and nodes Therefore we are assuming that the graph has edges outside the cycle ie there are edges which are not in the cycle Now consider a graph with 3 vertices    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

Finance
1.2K views

f the three intrinsic value estimates for Stock X were different, you would have the most...

Statistics
1.2K views

An automobile manufacturer claims that their van has a 46.4 miles/gallon (MPG) rating. An independent testing...

Biology
1.2K views

Case 1: Pyruvate Kinase (PK) catalyzes the rate-limiting, ATP-generating step of glycolysis in which phosphoenolpyruvate (PEP) is...

Psychology
1.2K views

How does a marriage type relationship differ from other human relationships and state two of its...

Advance Math
1.2K views

Assume there are 14 homes in the Quail Creek area and 4 of them have a...

Biology
1.2K views

is a judicial doctrine that prevents the government or its political subdivisions departments and agencies...

Physics
1.2K views

60 A simple pendulum has a time period T in vacuum liquid of density one...

Geometry
1.2K views

Find the value of the variable If the answer is not a whole number round...

Basic Math
1.2K views

A concert hall has 14 seats in the first row, 16 seats in the second...

Statistics
1.2K views

2 X is a normal random variable with probability density function f x given below...

Accounting
1.2K views

Cul cree que sera el efecto sobre las partes interesadas si una empresa es deshonesta...

Accounting
1.2K views

Wet Pets Inc. makes 100-gallon plexiglass aquariums. They reported the following financial information for last...