Prove that every connected graph has a vertex whose removal (including all adjacent edges will not disconnect

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

Question:

Prove that every connected graph has a vertex whose removal (including all adjacent edges will not disconnect the graph by describing a DFS method that finds such a vertex.

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

See More Books

Posted Date: Jun 12, 2019 01:36 AM

See More Questions

Prove that every loop-free connected planar graph has a vertex v with deg (u) 6.
Prove that a graph with n nodes and n edges must have at least one circuit.
A connected graph is called a tree if it has no circuits. (a) Find the incidence matrix for each of the following directed trees: (i) (ii) (iii) (iv) (b) Draw all distinct trees with 4 vertices....
The following were selected from among the transactions complete by Wild Adventures Company during December of the current year. Dec. 3. Purchased merchandise on account from Miramar Co., list price...
Most manufacturers have long adopted quality improvement techniques to reduce or eliminate errors and defects, waste, and speed the flow of product to the consumer. Many retailers are now following...
How does a partner determine his basis in distributed assets when the partnership distributes other property in addition to money and hot assets?
In the benzene adsorber of Example 9.7, the flow rate is increased to $0.25 \mathrm{~m}^{3} / \mathrm{s}$. Calculate the breakthrough time and the fraction of the bed adsorption capacity that has...
Jay Cutler owns and manages a computer repair service, which had the following trial balance on December 31, 2011 (the end of its fiscal year). Summarized transactions for January 2012 were as...
Problem 2 o is the fitted value or predicted value of the response when the predictor is xo. 1) Derive the variance of o, o2 {0}, in a Simple Linear Regression setting when there is only one...
The Carolina Cougars is a major league baseball expansion team beginning its third year of operation. The team had losing records in each of its first 2 years and finished near the bottom of its...
Martin Properties, Inc., sold marketable securities it held as capital asset to Anna Phelps, its CFO and 60% majority shareholder for $95,000. Because Martin had a $100,000 tax basis in the...
Company A owns 100% of Company T. Provided below are the sales of Company T and the consolidated group for the past 3 years. Year 1 Year 2 Year 3 Company T Sales 500 800 1,200 Consolidated Sales 800...
An FCC iron-carbon alloy has an initial uniform carbon concentration of 0.25 wt% C. The alloy is carburized at 950 C and in an atmosphere that gives a constant surface carbon concentration constant...
John Whitten is one of the physicians on staff at Metropolis Health System. His practice is six years old. He has set up an office savings account to accumulate the funds to replace equipment in his...
You are using the Adjusted Present Value approach to value the Greenside Co., and you have determined that the value of the unlevered firm is $22,105,137. You calculate the projected interest tax...
1. A bag contains 8 red marbles, 8 white marbles, and 8 blue marbles. What is the minimum number of marbles you have to choose randomly from the bag to ensure that we get 3 marbles of same color? 2....
Evaluate technologies that will disrupt visibility of customer-driven supply chains. Evaluate the supply chain implications of visible customer supply chains with disruptive technology such as Uber,...
Bonus shares can be issued out of revenue reserves. True/False?
For n Z+, how many nonisomorphic spanning trees are there for K2,n?
Determine the value of x in each of the following. (a) log10 2 + log10 5 = log10 x (b) log4 3 + log4 x = log4 7 - log4 5
For the situation in Examples 8.10 and 8.11 compute Et for 0 ¤ i ¤ 5 and show that E-, E, = N = IS.
Draw a cash flow diagram of any investment that exhibits both of the following properties: 1. The investment has a 4-year life. 2. The investment has a 10 percent/year internal rate of return.
What is the internal rate of return of the following cash flow diagram? a. 20 percent b. 18.2 percent c. 17.5 percent d. 15 percent $30 $31 0 1 2 3 $30 $15
Quilts R Us (QRU) is considering investing in a new patterning attachment with the cash flow profile shown in the table below. QRU's MARR is 13.5 percent/year. a. What is the internal rate of return...

Prove that every connected graph has a vertex whose removal (including all adjacent edges will not disconnect

Question:

Expert Answer:

Using DFS We do DFS traversal of the given graph In ... View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these physics questions