Show that every non increasing sequence of nonnegative integers with an even sum of its terms is

Question:

Show that every non increasing sequence of nonnegative integers with an even sum of its terms is the degree sequence of a pseudo graph, that is, an undirected graph where loops are allowed.

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 01:52 AM

See More Questions

For n, m Z+, let f(n, m) count the number of partitions of n where the summands form a non increasing sequence of positive integers and no summand exceeds m. With n = 4 and m = 2, for example, we...
List all 3-permutations of {1, 2, 3, 4, 5}. The remaining exercises in this section develop another algorithm for generating the permutations of {1, 2, 3, . . . , n}. This algorithm is based on...
Let 0 v R3. (a) Show that the cross product Lv[x] = v x x defines a linear transformation on R3. (b) Find the 3 x 3 matrix representative Av of L, and show that it is skew-symmetric. (c) Show that...
Suppose the given numbers for a mental calculation (see Problem 59) are 10x + y and 10x + z. Notice that these two numbers have the same tens digit. Also assume that y + z = 10, which says that the...
Describe how job-order costing concepts arc used in professional service firms, such as law practices and consulting firms.
A student returning from Europe changes his French francs and Swiss francs into U.S. money. If he receives $11.91 and has received 17e for each French franc and 48 for each Swiss franc, how much of...
Develop the questionnaire in Internet Exercise 8-21 using an electronic questionnaire design package that is available for free (see the websites mentioned in this chapter in the subsection entitled...
The following data were extracted from the income statement of Hestia Systems Inc.: a. Determine for each year (1) the inventory turnover and (2) the number of days' sales in inventory. Round to the...
How do lifestyle factors, including diet, exercise, and sleep hygiene, modulate the body's stress response system and contribute to overall resilience against stress-related disorders?
The following selected transactions were completed by Epic Co. during August of the current year: Aug. 3. Purchased merchandise on account for $33,400, terms FOB destination, 2/10, n/30. 9. Issued...
Show that a sequence d1, d2, . . . , dn of nonnegative integers in non increasing order is a graphic sequence if and only if the sequence obtained by reordering the terms of the sequence d2 1, . . ....
How many sub graphs with at least one vertex does K3 have?
Stock splits and stock dividends may be used by a corporation to change the number of shares of its stock outstanding. (a) What is meant by a stock split effected in the form of a dividend? (b) From...
On January 1, 20X7, Clyde County issued $100 million of 5%, 20-year bonds at 102. Interest is payable semiannually. The proceeds were restricted for the construction of a new county water...
The following assets are among those owned by the city of Heidi: How much should be included in Heidis General Capital Assets accounts? a. $2,000,000. b. $1,800,000. c. $6,800,000. d. $7,000,000....
Kashickey College, an institution considered to be governmental in nature, had the following events occur during the year: Tuition scholarships of $45,000 were granted during the year and $7,500 of...
Through an Internet search, find at least 10 different examples of reporting entity note disclosures from available CAFRs. Provide a mixture of both blended and discretely presented component units....
From the following transactions of L Scott, who operates with periodic inventory: enter the appropriate journal abbreviation next to each transaction prepare the relevant journals (or general...
Describe the objectives of the International Accounting Standards Board (IASB).
Is times interest earned meaningful for utilities? Why or why not?
(a)If f(x) = x (2/x), find f(x). (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f.
(a)If f(t) = 6/ (1 + t2), find f(t). (b) Check to see that your answer to part (a) is reasonable by comparing the graphs of f and f.
(a) What is the meaning of U(t)? What are its units? (b) Construct a table of values for U (t) U() U() 6.8 1996 5.4 1991 1992 7.5 1997 4.9 1993 6.9 1998 4.5 1994 1995 1999 6.1 4.2 5.6 2000 4.0
Mr . Frimpong is a used clothing dealer in Accra. The business recorded a turnover of Ghs 7 5 , 0 0 0 in 2 0 1 7 . During the year, Mr . Frimpong had the following expenditures, receipts and...
1. What are the goals of the purchasing department? 2. What is the role of the purchasing department in the organization? 3. What is the purchasing policy in place for purchases? 4. Why didn't the...
This is a two-part assignment. I want to expose you to another deduction that arises with micro and small businesses. That is Tax-in-Gross. If you say it carefully you may be able to visualize why...

Show that every non increasing sequence of nonnegative integers with an even sum of its terms is

Question:

Step by Step Answer:

Let d 1 d 2 d n be a nonincreasing sequence of nonnegative integers with an even sum ...View the full answer

Discrete Mathematics and Its Applications

Students also viewed these Statistics questions