Show that a simple graph with at least two vertices has at least two vertices that are

Question:

Show that a simple graph with at least two vertices has at least two vertices that are not cut vertices.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Discrete Mathematics and Its Applications

ISBN: 978-0073383095

7th edition

Authors: Kenneth H. Rosen

See More Books

Question Posted: May 03, 2016 01:54 AM

See More Questions

Show that a simple graph G with n vertices is connected if it has more than (n 1) (n 2)/2 edges.
Show that a simple graph G is bipartite if and only if it has no circuits with an odd number of edges.
Show that a simple graph is a tree if and only if it contains no simple circuits and the addition of an edge connecting two nonadjacent vertices produces a new graph that has exactly one simple...
Create a class called Car that includes three instance variablesa model (type String), a year (type String), and a price (double). Provide a constructor that initializes the three instance variables....
Define the terms sunk cost and differential cost.
Which controls would you expect to exist to confirm the accuracy and correctness of data output?
Explain the interest rate channel of monetary policy.
Jameson is a 32-year-old father of three who thought he had finally found a career. While working as an assistant manager at a local shoe store, a customer, Vijay, befriended Jameson and invited him...
Phillip and Case are in the process of forming a partnership to import Belgian chocolates, to which Phillip will contribute one-third time and Case full time. They have discussed the following...
Sitting on Maggie Brumfields desk is the latest planned order report from the companys MRP system. Maggies job is to determine if there is enough capacity to handle the workload and to level the load...
Suppose that v is an endpoint of a cut edge. Prove that v is a cut vertex if and only if this vertex is not pendant.
A communications link in a network should be provided with a backup link if its failure makes it impossible for some message to be sent. For each of the communications networks shown here in (a) and...
1. How does a thin layer of water on the road affect the light you see reflected off the road from your own headlights? How does it affect the light you see reflected from the headlights of an...
Popcorn company is expected to pay $1 dividend per share at the end of this year, $1.50 dividend per share at the end of year 2, $2 dividend per share at the end of year 3, and $2.50 dividend per...
Increased spending for COVID economic relief is an important issue for many struggling in the current economy. A specific policy to combat this issue is put forward and it is found that 78% of...
James worked a total of 186 hours for the month of June 2020. His rate per hour is working hours of the 450 per hour. Overtime premium is 30%. The company is 8 hours a day. The company's regular...
Question Researchers collected a simple random sample of 36 children who had been identified as gifted in a large city. The following histograms show the distributions of the IQ scores of mothers and...
Shown below is activity for one of the products of Denver Office Equipment: January 1 balance, 700 units @ $55 per unit $38,500 Purchases: January 10: 700 units @ $60 per unit January 20: 1,100 units...
_______ contraction drives blood through the systemic and pulmonary circuits; outside the heart, blood pressure is highest in the _______. a. Atrial; ventricles b. Atrial; atria c. Ventricular;...
The Heese Restaurant Group manufactures the bags of frozen French fries used at its franchised restaurants. Last week, Heeses purchased and used 101,000 pounds of potatoes at a price of $ 0.70 per...
Use implicit differentiation to find an equation of the tangent line to the curve at the given point. 25. x + xy + y = 3. (1, 1) (ellipse) %3D 26. x + 2xy y + x = 2. (1,2) (hyperbola) 28. x + y/3 =...
(a) The curve with equation y2 = 5x4 x2 is called a kampyle of Eudoxus. Find an equation of the tangent line to this curve at the point (1, 2). (b) Illustrate part (a) by graphing the curve and the...
(a) The curve with equation y2 = x3 3x2 is called the Tschirnhausen cubic. Find an equation of the tangent line to this curve at the point (1, 2). (b) At what points does this curve have a...
Current Attempt in Progress On July 3 1 , 2 0 2 2 , Crane Compary had a cash balance per books of $ 6 , 2 4 5 . 0 0 . The statement from Dakata State Bark on that date showed a balance of $ 7 , 7 9 5...
Cede & Co. expects its EBIT to be $89,000 every year forever. The firm can borrow at 5 percent. Cede currently has no debt, and its cost of equity is 10 percent. If the tax rate is 35 percent, what...
In the Marriott example, one discussion point considered when a firm might use a single hurtle rather than different divisional or business unit rates. When a single rate is used and the divisions...

Show that a simple graph with at least two vertices has at least two vertices that are

Question:

Step by Step Answer:

If every component of G is a single vertex and then clearly no vertex is a cut vertex the removal of ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions