Question: Suppose we have a complete graph on 10 nodes and we need to mark each edge as positive or negative and satisfy the Weak Balance

Suppose we have a complete graph on 10 nodes and we need to mark each edge as positive or negative and satisfy the Weak Balance property. Suppose we do it in all the ways possible and get a total of M different signed networks. For each network, we are able to divide it into some specific number of non-empty groups such that there is no antagonism within groups and no friendship between groups. For network i, call that number ki. Call the set of ki K. What numbers belong to K?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Algorithms Questions!

answer all questions as instructed below. attend all questions. 4 Computer Vision (a) Explain why such a tiny number of 2D Gabor wavelets as shown in this sequence are so efficient at representing...

QUIZ... Let D be a poset and let f : D D be a monotone function. (i) Give the definition of the least pre-fixed point, fix (f), of f. Show that fix (f) is a fixed point of f. [5 marks] (ii) Show that...

can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...

This is in C. The partial solution "template" for the assignment is provided below which is well commented. NO OTHER LANGUAGES WILL BE ACCEPTED. One technique for dealing with deadlock is called...

) Explain the term overloading in the context of Java constructors and methods. [2 marks] (b) Without describing the details of either, outline the relationship between the Java methods...

Hi Tutor, Please find the attached document. I think you can choose the company for Coca-Cola, because the company information is everywhere. Page 0 of 42 Your Name Here Your Company Name Here Annual...

Erasmus Platform for Sustainable Value Creation, Case Study: McDonald's 3) analysis of the case study incorporating the course learning objectives (A) and case study questions (B). Use the case study...

ttth Suppose that the sequence of bags {Bn | n N} is recursively enumerated by the computable function e(n, x) = fn(x), [7 marks] Hence prove that the set of all recursive bags cannot be recursively...

1. Let G = (V, E, w) be a directed graph with weighted edges w : E R; edge weights could be positive, negative, or zero. We're going to design another algorithm for computing all-pairs shortest...

The Dinkle and Frizell Dental Clinic provides both preventive and orthodontic dental services. The two owners, Reese Dinkle and Anita Frizell, operate the clinic as two separate investment centers:...

Why is value tied to the entire product experience?

Does revising the warranty expense estimate pose an ethical dilemma for Craig?

The following data (in thousands) were taken from recent financial statements of Under Amour, Inc: a. Compute the working capital and the current ratio as of December 31, 2008 and 2007. Round to two...

The following financial data (in thousands) were taken from recent financial statements of Staples, Inc.: 1. What is the number of times interest charges are earned for Staples in Year 3, Year 2, and...

The following data (in thousands) were taken from recent financial statements of Under Armour, Inc.: a. Compute the working capital and the current ratio as of December 31, Year 2 and Year 1. Round...

The balance sheet of a company lists $25 million of inventory. What assertions is management making regarding inventory?

What information is used in the cost accounting department to calculate cost of goods sold for a production operation? What are the significant risks that would make this calculation inaccurate?

Section 3: Use this data to fill in the Final Income Statement below. Use FIFO if necessary. Use straight line depreciation if necessary. (50 points) a) Sales for the year were: $2,000 in Jan,...

As the manager of the IT group at your insurance firm, you have been asked to develop a cost estimate for upgrades to the computerized accident-reporting and claims adjustment system you have in...

Explain the concepts of task and psychosocial outcomes for a project. Why are psychosocial outcomes so important for project team members?

Would you prefer the use of bottom-up or top-down budgeting for project cost control? What are the advantages and disadvantages associated with each approach?

You have a dream in which you wake up to find that people around you are using words that make no sense. Whats more, your friends dont seem to understand you when you speak. At one point in your...

Oligodendrocytes and Schwann cells generate a fatty substance known as a. neurilemma. b. glial. c. soma. d. myelin.

Which brain structure relays incoming sensory information? a. thalamus b. hypothalamus c. hippocampus d. pons