Given the following adjacency matrix representing a graph이01100이00100000010이0011001100이이0The graph has:a. IV= 6. |티 = 6O b. None of themOc IV = 6, I티 = 7O d. IV = 7, |티 = 6

Defined the given adjacency matrix representing grapg

Answered: Given the following adjacency matrix…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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8. Answer the following questions for a random graph generated by the Erdos-Renyi random graph model ER(n, p). You do not need to prove your answers are correct but still need to show your work. Your answer should be in terms of n and p. 8(a) What is the expected number of triangles? 8(b) What is the probability that d(u, v) > 2 for two particular vertices u v? (Hint: First, find the probability that d(u, v) > 1. Then consider, for all other vertices x, the probability that uxv is NOT a path in the random graph. Multiply all these probabilities together.) Note that for this question, no graph is given. However, we know that the expected number of edges for ER(n, p) random graph model is , and that the expected degrees of the vertex for the random graph model ER(n, p) is (n-1) *p
Choose any 3 examples of Graph models from Examples 3-14 of Section 10.1 and explain for each what it means for them to be/to have a) directed/undirected, b) multiple edges allowed between same endpoints, andc) loops allowedanswer 7 8 9
A weighted, directed graph is a suitable representation to represent the daily airline routes flown by a small airline. The airline have the following daily flights: - Three flights from Cape Town to Johannesburg, - Two flights from Johannesburg to Cape Town. - Four flights from Johannesburg to Durban. - Three flights from Durban to Johannesburg. - One flight from Johannesburg to George. - One flight from George to Johannesburg.Draw the graph and answer the questions that follow. The graph that represents this problem is connected. A. True B. False
A weighted, directed graph is a suitable representation to represent the daily airline routes flown by a small airline. The airline have the following daily flights: - Three flights from Cape Town to Johannesburg, - Two flights from Johannesburg to Cape Town. - Four flights from Johannesburg to Durban. - Three flights from Durban to Johannesburg. - One flight from Johannesburg to George. - One flight from George to Johannesburg. Draw a graph that represents this problem
It was claimed that anyone involved in the Hollywood film industry can be linked through their film roles to Kevin Bacon within six steps. You are suspicious of such a claim and decide to verify it using the given dataset.1. Before you start to verify the claim, you first notice that it is not possible for this claim to be true if the actor graph is not even connected. Now that you know how to verify if the actor graph defined by the given dataset is connected (the actor graph is indeed connected), explain how can you further verify the claim of "Six Degrees of Kevin Bacon", that is: in the actor graph, each actor/actress is connected to Kevin Bacon with a path that contains no more than 6 edges. You should also include the runtime ofyour algorithm.
Without intersecting lines, draw the directed graph: Where: A = {a, b, c, d} B = {(c, d), (a, a), (c, b), (a, b), (d, a), (b, c), (d, c)}
A weighted, directed graph is a suitable representation to represent the daily airline routes flown by a small airline. The airline have the following daily flights: - Three flights from Cape Town to Johannesburg, - Two flights from Johannesburg to Cape Town. - Four flights from Johannesburg to Durban. - Three flights from Durban to Johannesburg. - One flight from Johannesburg to George. - One flight from George to Johannesburg. Draw the graph and answer the questions that follow
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Question 9 Create a graph, if possible, with the following attributes, then find the index matrix of your graph. 6 vertices 5 edges One vertex with a degree of 3 All vertices are connected in some way, but it does not have to be a direct connection
EXERCISE 2 Based on the image attached, represent the directed graph by listing all the vertices that are the terminal vertices of edges starting at each vertex of the graph.

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Given the following adjacency matrix representing a graph 이01100이 001000 이이이11이이 010001 이001100 1100이이0 The graph has: a. IV= 6. |티 = 6 O b. None of them Oc IV = 6, I티 = 7 O d. IV = 7, |티 = 6 %3!