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.

In the linked-list based representation of the given graph, each vertex is represented as a node in…

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 adjacency matrix representation of this graph?
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} Draw the graph with all the above vertices and edges.
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} Is this graph complete? Explain your answer.
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,
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.
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
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}
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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…
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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.