Given the following vertex set and edge set (assume bidirectional edges):V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}E={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10}What is the adjacency matrix representation of this graph?

To represent the given graph using an adjacency matrix, we need to create a matrix where each row…

Answered: Given the following vertex set and edge…

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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Given the following vertex set and edge set (assume bidirectional edges): V = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E ={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} What is the linked-list based representation of this graph? Assume all edge weights are 1.
Consider the following edge-weighted digraph with 8 vertices and 13 edges. v->W weight B->A B->C B->F 35 30 B->G C->D 50 C->G C->H 15 29 E->A E->B 36 E->F G->F 73 26 G->H H->D 55 26 Here is a graphical representation of the same edge-weighted digraph: (A)(C). -50---->(D) 36 30 3. 15 26 v| >(H) (E) -73--->(F)<-----26-----(G) -55- Suppose that you run Dijkstra's algorithm to compute the shortest paths from E to every other vertex. Give the contents of the distTo[0 array immediately after vertex C is relaxed (not necessarily when the algorithm terminates). Here is the distTo[] array before E is relaxed: V ABC DEF GH distTo[v] Answer Your answer should be a sequence of 8 integers, separated by whitespace.
Consider the following edge-weighted digraph with 8 vertices and 13 edges. V->W weight A->E 1 A->B B->C C->F 4 C->D D->G F->E 39 23 F->B 26 F->A 16 G->F G->C 40 34 H->D 95 H->G 17 Here is a graphical representation of the same edge-weighted digraph: (A) -3---->(B) -39-->(D) 16 95 (E)- -23- (F). 40 (G) (H) Suppose that you run the Bellman-Ford algorithm to compute the shortest paths from H to every other vertex. What is the distTo[] array immediately after the end of three passes of the algorithm (pass 1, 2, and 3)? Each pass consists of relaxing the 13 edges in the order given above. Here is the distTo[] array before the beginning of pass 1: v A B CDE F H. distTo(v] Answer Your answer should be a sequence of 8 integers, separated by whitespace,
Suppose you have the following graph, what is the correct representation of its edges? O F E= {(A,B), (B,D), (C,B), (E,D), (C,E), (F,E)} E= {{A,B}, {B,D}, {C,B}, {E,D}, {C,E}, {F,E}} E= {(A,B), (B,C), (B,D), (C,E), (D,E), (E,F)} E= {(A,B), (B,A), (B,C), (C,B), (B,D), O (D,B), (C,E), (E,C), (D,E), (E,D), (E,F), (F,E)} None of them
5. Vertices: (a, b, c, d, e, f, g) Edges: {(a, b), (a, f), (b, e), (b, g). (c. f). (c. g). (c. d), (d. e), (d. g} } Draw a Graph for the given vertices and edges. Find the adjacent vertices of a vertex c. Find the shortest path between source vertex f and destination vertex e.
Given the following set of vertices V and set of edges E. V = {p, q, r, s, t, u} E = {(p,q), (q,r), (r, s), (t,p), (q,t), (r, t), (t,u)} Which of the following is correct? Select one: A.There are 7 vertices B.There are 7 edges. C.The degree at vertex p is 7 D.The total degree of all vertices is 7
In this task you will work with an undirected Graph G = {V, E}, where V = {f,p,s,b,l,j,t,c,d} and E = {(1,2), (1,3), (3,8), (4,8), (8,9), (1,7), (2,6), (2,3), (5,6), (6,7), (7,9), (8,1)}. Assume that the nodes are stored in an indexed linear structure (e.g., an array or a vector) numbered consecutively from 1 (node f) to 9 (node d). Run, by hand, a depth-first search (DFS) traversal of the graph G, starting at node p. When choosing which node to visit next amongst the possibilities, choose the one that is next in alphabetical order. Give your answer by listing the edges in the order that DFS will select.
Draw the graph that has V(G) = {v1,v2,v3,v4,v5,v6}, E(G) = {e1,e2,e3,e4,e5,e6,e7,e8,e9,e10} and edge - endpoint function as shown. Scan or photograph your graph and upload the file. Edge Endpoints e1 {v1,v2} e2 {v2,v3} e3 {v1,v4} e4 {v2,v4} e5 {v1,v5} e6 {v2,v6} e7 {v3,v5} e8 {v3,v6} e9 {v4,v5} e10 {v5,v6}
Create a graph containing the following edges and display the nodes of a graph in depth first traversal and breadth first traversal. V(G) = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E(G) = {(0, 1), (0, 5), (1, 2), (1, 3), (1, 5), (2, 4), (4, 3), (5, 6), (6, 8), (7, 3), (7, 8), (8, 10), (9, 4), (9, 7), (9, 10)} The input file should consist of the number of vertices in the graph in the first line and the vertices that are adjacent to the vertex in the following lines. Header File #ifndef H_graph #define H_graph #include <iostream> #include <fstream> #include <iomanip> #include "linkedList.h" #include "unorderedLinkedList.h" #include "linkedQueue.h" using namespace std; class graphType { public: bool isEmpty() const; void createGraph(); void clearGraph(); void printGraph() const; void depthFirstTraversal(); void dftAtVertex(int vertex); void breadthFirstTraversal(); graphType(int size = 0); ~graphType(); protected: int maxSize; //maximum number of…
Let G be a graph whose vertices are the integers 1 through 8, and let the adjacent vertices of each vertex be given by the table. Assume that, in a traversal of G, the adjacent vertices of a given vertex are returned in the same order as they are listed in the table below. Vertex Adjacent vertices 1 2 3 4 5 6 7 8 (2,3,4) (1,3,4) (1,2,4) (1,2,3,6) (6,7,8) (4,5,7) (5,6,8) (5,7) a) Draw Gb) Order the vertices as they are visited in a DFS traversal starting at vertex 1. c) Order the vertices as they are visited in a BFS traversal starting at vertex 1.
2. Use the following description of an undirected graph and draw the graph: v(Graph1) = { A, B, C, D} E(Graph1) = { (A,B), (A,D), (B,C), (B,D) }
Which of the following is not a walk from vertex x to vertex z for the undirected graph G=(V,E), where V={w,x,y,z}? Assume all edges shown belong to the edge set E. {{x,y},{y,x},{x,w},{w,z}} {{x,w},{w,y},{y,x},{x,z}} {{x,y},{y,w},{w,w},{w,z}} {{x,y},{y,w},{w,x},{x,z}}

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Given the following vertex set and edge set (assume bidirectional edges): V {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} E={{1,6}, {1, 7}, {2,7}, {3, 6}, {3, 7}, {4,8}, {4, 9}, {5,9}, {5, 10} What is the adjacency matrix representation of this graph?