16. Which of the following statements is/are true? 1. The order of directed graph G is always half as the order of its undirected graph counterpart. II. The size of a graph G is solely based on the number of edges found in the graph. A. I only is true C. Both I and II are true B. II only is true D. Neither I nor II is true

16. Which of the following statements is/are true? 1. The order of directed graph G is always half as the order of its undirected graph counterpart. II. The size of a graph G is solely based on the number of edges found in the graph. A. I only is true C. Both I and II are true B. II only is true D. Neither I nor II is true

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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Incidence Table 1 A 1 -1 B 0 0 C 0 -1 0 D 0 0 1 E 0 0 0 0 0 -1 -1 For Items 18-22, refer to the incidence table on the previous page 20. The vertex with the highest degree is A. Vertex A C. Vertex C B. Vertex B D. Vertex D 21. What is the diameter of the graph? A. 1 C. 3 B. 2 D. 4 22. Which of the following statements is/are true? A. Edge E1 is incident from A B. Edge E1 is incident from B C. Edge E1 is incident from both A and B D. None of the above E1 1 -1 E2 E3 E4 0 1 0 -1 E5 0 0 1 -1 E6 0 1 0 0 E7 0 0 0 1 E8 0 0 0 20-22 1 0
a) Write a program that asks user to enter number of vertices in a directed graph and thenthe adjacency matrix representing the directed graph. The program, then, must display thenode with the highest outdegree. Assume that nodes are named as 0, 1, 2 and so on.
Wing A Wing Wing b) Above given is the design of US Airport(having Wings: A-C and Arms: a-0). Your task is to create an adjacency matric for the graph of the airpot.
7. a) Write down the 5 by 5 adjacency matrix for the undirected graph below (Figure 1). A B C D Figure 1: Undirected Graph for Question 7. (a) b) Write a program that asks user to enter number of vertices in an undirected graph and then the adjacency matrix representing the undirected graph. The program, then, must display whether the given graph is connected or not. You will find two sample runs of the program below. Sample 1 Sample 2 Enter number of vertices: 3 Enter number of vertices: 3 Enter adjacency matrix: 0 1 1 10 0 1 0 0 Enter adjacency matrix: 0 1 0 1 0 0 0 0 0 The graph is connected. The graph is not connected.
can you give me the code to the following question?
FAST
A graph G with vertices labelled 0 to 9 is shown below. 8 17 3 Tick all the statements that are correct about the graph. You may need to compare the above graph to the Peterson graph, which is provided as follows: O Gis a Hamiltonian graph O G contains more than five spanning trees O Gis an Eulerian graph O G is a simple graph O Gis bipartite O The complement of G is connected There are two distinct vertices in G that are joined by an Eulerian trail O The diameter of G is 2 O There are two distinct vertices in G that are joined by a Hamiltonian path O Gis isomorphic to the Peterson graph G is a regular graph 6,