Write expressions for the number m of edges in the network

Assignment Help Mathematics

Reference no: EM13838276

Let A be the adjacency matrix of an undirected network and 1 be the column vector whose elements are all 1. In terms of these quantities, write expressions for:

a) the vector k whose elements are the degrees ki of the vertices;

b) the number m of edges in the network;

c) the matrix N whose element Nij is equal to the number of common neighbors of vertices i and j;

d) the total number of triangles in the network, where a triangle means three vertices, each connected by edges to both of the others

Reference no: EM13838276

Questions Cloud

Death by scrabble by charlie fish : Write an informative essay of at least 2 double-spaced 12 pt. font pages (typed) identifying and explaining three "good writing" techniques in any (1) of the following stories: "Death by Scrabble" by Charlie Fish. Be sure to include at least two di..

Which of the following is true about the use of theory : Which of the following is true about the use of theory in counseling? a. Research supports the increased efficacy of certain theoretical approaches with specific mental health conditions. b. Some counseling interventions are proven to be more effecti..

Which had no light source : which had no light source

Prepare a report commenting on financial health of jb hi-fi : You are a member of a large accounting firm which provides various business consultancy services including financial statement analysis. Prepare a report commenting on the financial health of JB Hi-Fi in the past two (2) years.

Write expressions for the number m of edges in the network : Let A be the adjacency matrix of an undirected network and 1 be the column vector whose elements are all 1. In terms of these quantities, write expressions for: a) the vector k whose elements are the degrees ki of the vertices; b) the number m of edg..

Why medical errors occur and the best prevention methods : Critique the following article. This article covers why medical errors occur and the best prevention methods. The critiqued article should include th following: An introduction

Type of analysis that is often performed by companies : One type of analysis that is often performed by companies, but is not covered in the text is a trend analysis. Using the data obtained from a vertical analysis a company will identify an area of concern.

How should they solve the dispute : Both are large organisations dependant on public funding to support their research efforts. It would not be good for business if they were seen to be having a fight in public about this. How should they solve the dispute?

What is the percentage by mass of hydrogen in hydrocarbon? : What is the percentage by mass of hydrogen in Hydrocarbon?

User Account

All Pages