Pick all statements that apply to this directed graph. A) Every node is reachable from node c. (Do not include node c.) B) From node a to node g there are at least 3 different paths, all with different lengths. C) There are no cycles in this graph. D) There is a loop in this graph. E) There is a path from node e to node f of length 3.

Pick all statements that apply to this directed graph. A) Every node is reachable from node c. (Do not include node c.) B) From node a to node g there are at least 3 different paths, all with different lengths. C) There are no cycles in this graph. D) There is a loop in this graph. E) There is a path from node e to node f of length 3.

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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*Discrete Math In the graph above, let ε = {2, 3}, Let G−ε be the graph that is obtained from G by deleting the edge {2,3}. Let G∗ be the graph that is obtain from G − ε by merging 2 and 3 into a single vertex w. (As in the notes, v is adjacent to w in the new if and only if either {2,v} or {3,v is an edge of G.) (a) Draw G − ε and calculate its chromatic polynomial. (b) Give an example of a vertex coloring that is proper for G − ε, but not for G. (c) Explain, in own words, why no coloring can be proper for G but not proper for G − ε. (d) Draw G∗ and calculate its chromatic polynomial. (e) Verify that, for this example,PG(k) = PG−ε(k) − PG∗ (k).
Exercise # 4: Level of each node in the graph How to determine the level of each node in the given graph? As you know, BFS involves a level-order traversal of a graph. Hence, you can use BFS to determine the level of each node as well. S Level 0 1 Level 1 Level 2 3 4 5 6. Level 3 Exercise # 4a: Write a function nodes_of_level(G, level) that takes a graph and level number as input and returns a list of all the nodes that are on the given level. Example 1: Input Adjacency list representation of graph shown above. level = 1 Output [1, 2] Example 2: Input Adjacency list representation of graph shown above. level = 2 %3D Output [3, 4, 5, 6] 9, 2.
If there is an Euler path that starts at AA and ends at some other vertex, give it. Otherwise enter DNE.This should be a list of letters, from A to the other vertex: e.g. ACBDEAD (if that were even possible!). Path: Since this is a planar graph, the number of regions - arcs + nodes equals what number?
? ? ? ? *Determine whether each of the following statements is true or false. ✓1. For n ≥ 2, the complete graph K, has n" spanning trees. ✓ 2. Every graph contains a spanning tree as a subgraph. ✓ 3. Every connected graph contains a spanning tree as a subgrph. ✓ 4. There is a connected graph with exactly one spanning tree.
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Be a connected, undirected graph, G D.V; E/. To calculate a path across G that precisely travels each edge in E once in each direction, provide an O.V C E/-time method. Give you a lot of pennies; explain how you can navigate a maze using them.
Given the following graph find all articulation points. If necessary, consider nodes and edges in alphabetical order. H. Display all articulation points alphabetically. Please, report only the list of vertices separated by a single space. No other symbols must be included in the response. This is an example of the response format: ABC etc. Computer Science Please not Calculus
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
Alert dont submit AI generated answer. Write a program that reads a weighted graph and an initial vertex.The program must print on the screen the minimum paths obtained by Dijkstra's algorithm. Input: Receives n, m and s; n is the total number of vertices, m the total number of arcs and s is the initial vertex.Next, m lines, each line with a trio of integers, corresponding to the beginning and end of the arc, followed by the weight of the arc.(Vertices are identified from 0 to n-1.) Output: Prints the shortest paths obtained by Dijkstra's algorithm. Exemple: Input: 5 10 00 1 100 4 51 2 11 4 22 3 43 2 63 0 74 1 34 2 94 3 2 Output: [0, 8, 9, 7, 5][-1, 4, 1, 4, 0]
Computer Science ASAP PLS In this assignment, you should input a single graph. Then run your DFS or BFS, MST, and Dijkstra's algorithm for the input graph. This input graph can be created by reading from a file or using keyboard to input.