Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. a tree is called central if its center is k1 and b

A tree is called central if its center is K1 and bicentral if its center is...

50.1K

Verified Solution

Question

Advance Math

A tree is called central if its center is K1 andbicentral if its center is K2. Show that every tree iseither central or bicentral without using the theorem that thecenter of every connected graph G lies in a single block.

Answer & Explanation Solved by verified expert
4.0 Ratings (706 Votes)
tree of order 1 or 2 is already central or bicentrallet order of tree be 3there are always at least two nodesleaf of degree 1 to beremoved it is clear that T must also have at least one node whose degreeis greater than 1where q is the number of edges in TBut qn1 as Size of Tree is One Less than OrderSo if each node has degree 1 then    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

Chapter 3, problem 21. An electrochemical battery is used to provide 1 milliwatt (mW) of power...

Medical Sciences
1.2K views

Outline the flow of blood through the nephron.

Civil Engineering
1.2K views

Q5: A hydraulic punching machine is used to make holes in a plate using two steel...

Physics
1.2K views

Iwo radioactive substances A and B initially contain equal number of nuclei A has half...

Physics
1.2K views

a fluid N Displacement leads over Pressure wave by 90 degree Pressure wave and displacement...

Algebra
1.2K views

a = <-3,-5> and b = <1,4>.Represent a + b using the parallelogram method.Use...

Algebra
1.2K views

rove that S z C z 1 CX is isomorphic to 9 cos 8 sin...

Algebra
1.2K views

Simplify the complex rational expression using either Method I or Method I N CO 8...

Accounting
1.2K views

Amortization expense is * O relevant to short-term decisions because it is a variable cost...

Accounting
1.2K views

Green Technologies is a leading global end-to-end technology provider, with a portfolio of hardware, software...

Accounting
1.2K views

Can the American Opportunity Credit be claimed for graduate school?

Accounting
1.2K views

Prior to June 30, a company has never had any treasury stock transactions. A company...