The sum of degrees of a graph is ALWAYS even. In a simple, connected graph on 6

No answer yet for this question. Ask a Tutor

Question:

The sum of degrees of a graph is ALWAYS even. In a simple, connected graph on 6 vertices, the degrees of 5 vertices are 1, 2, 3, 4, 5 respectively. What is the degree of the 6th vertex? Draw the graph.

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: Mar 13, 2024 09:56 AM

See More Questions

CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
Write an alternative definition that is tail-recursive (iterative) and makes use of accumulator variables. [10 marks] Explain why your alternative definition executes more efficiently. [3 marks] 1...
Describe how to construct the function cpo ((D E), v) of two cpos (D, vD) and (E, vE). Prove that ((D E), v) is a cpo. (You may use facts about least upper bounds provided you state them clearly.)...
What is the asset-liability time mismatch that all banks face?
There is an ongoing debate between the U.S. and China regarding whether the Chinese yuan's value should be revalued upward. The cost of labor in China is substantially lower than that in the U.S. a....
Determine the additional Medicare taxes for these individuals. a. Mario, who is single, earns wages of $440,000 in 2017. b. George and Shirley are married and file a joint return in 2017. During the...
What is the purpose of a VMO?
ADJUSTING ENTRIES INCLUDING ADJUSTMENT FOR UNDERAPPLIED/ OVERAPPLIED FACTORY OVERHEAD Prepare the December 31 adjusting journal entries for Johnson Company. Data are as follows: (a) Factory overhead...
A monopolist has total costs TC(Q) = 32 + 10Q and faces market demand Q(P) = 40-2P. Solve for monopolist's output, price, profits and consumer surplus when: (a)(5 pts) Price is unregulated. (b)(5...
Prevosti Farms and Sugarhouse pays its employees according to their job classification. The following employees make up Sugarhouse's staff: Employee Number Payroll information Hire Date: 2-1-2017...
Practical Application: If you ran a restaurant located very near several retirement communities, how would you practice price discrimination? Hint: Did someone just say Early Bird Special, or was...
For power-system fault studies, it is assumed that the system is operating under balanced steady-state conditions prior to the fault, and sequence networks are uncoupled before the fault occurs. (a)...
Suppose that last month the U.S. dollar was trading on the foreign-exchange market at 0.85 euro per dollar, and today the U.S. dollar is trading at 0.88 euro per dollar. Explain what has hap pened....
Practical Application: Suppose you just purchased a mens clothing store in a huge shop ping mall. How would you differentiate your stores wares from those of your competitors?
The entire flow of U.S. dollars and foreign currencies into and out of the country constitutes our ________.
Should the legal system make it difficult for married couples to get a divorce, & harder to cohabit outside of marriage, with children? Since the 1970s, the traditional family has been changing...
The executor of Gina Purcells estate has recorded the following information: Assets discovered at death (at fair value): Cash . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ....
Find the multiplicative inverse of each element in Z11, Z13, and Z17.
Provide the steps and reasons, as in Exercise 18, to establish the following logical equivalences. (a) p [p (p q)] p (b) p q (p q r) p q r (c) [(p q) (p q r)] p q
Let T = (V, E) be a tournament with v V of maximum out degree. If w V and w v, prove that either (v, w) E or there is a vertex y in V where y v, w, and (v, y), (y, w) E. (Such a vertex v is...
Water is to be used to absorb acetone from a dilute mixture with air in a tower packed with 3.5-in. metal Pall rings. Average conditions in the tower are: \[\text { Temperature }=25^{\circ}...
Propane gas at $300 \mathrm{psia}$ and $150^{\circ} \mathrm{F}$ is sent to an expansion turbine with an efficiency of $80 \%$. What is the lowest outlet pressure that can be achieved without...
Liquid oxygen is stored in a tank at $-298^{\circ} \mathrm{F}$ and 35 psia. It is to be pumped at $100 \mathrm{lb} / \mathrm{s}$ to a pressure of $300 \mathrm{psia}$. The liquid oxygen level in...

The sum of degrees of a graph is ALWAYS even. In a simple, connected graph on 6

Question:

Expert Answer:

Discrete and Combinatorial Mathematics An Applied Introduction

Students also viewed these mathematics questions