Part 1Find the single-source shortest path from Home to all of the other locations in the graph. Show each step as in slides 57 to 64.3City ParkGas StationGrocery1018Home15Stadium2010Restaurant4LibraryUTDPost OfficePart 2Find the minimum spanning tree using Prim's algorithm for the graphShow each step as in slide 89.Part 3Repeat using Kruskal's algorithm.Show each step as in slide 100.co v1v2v1v21044v3v4v5v3v4v5V6v7v6v7knowndvFind shortest path from v1to all other vertices.pvknowndvpvMark v6 as known.v1v1Adjacent vertices:v2Start with vl at distance 0.v2v1None.v3v33v4Done.v4v4v1v5v5v4Distances in dv.v6v6v7Path given by pv.57v764v7v41010088888.

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Answered: Part 1 Find the single-source shortest…

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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12- A Graph consists of four vertices A, B, C and D. If we start from A, which vertex will be visited first of all by breadth-first search (BFS) algorithm? A C D B
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Vertices should be named by the letters in the alphabeth : A, B, C, D, EEdges should be named : e1,e2, e3, e4, e5, e6, e7, e8, e9 Draw or Make a Directed graph with 9 edges and 5 vertices
a connected graph with 20 vertices contains 31 edges. without knowing which particular graph this is, what is the smallest and largest possible number of edges you can remove to get a spanning tree? smallest number of edges to romove: largest number of edges to remove:
In which order will the nodes(vertices) in the graph below be visited during a depth-first traversal starting at Node A? Select the order in which the nodes are visited for the first time. If there is a choice between two nodes, use the lexicographic order. For example if you are visiting Node E, choose the edge (E,D) before the edges (E,G) or (E,H)
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Find the Minimum spanning tree of the below graph using Kruskals algorithm. You may refer to the class slides for algorithm. Clearly trace the working of the algorithm in your worksheet and upload the same as the solution.
A graph is given below with its path and heuristics values. Show the process of identifying the correct path from the start node (A) to end node (M) following the Best First Search searching algorithms: Heuristic Values State Value A 0 B 3 C 6 D 5 E 1 F 3 G 2 H 4 I 3 J 2 K 1 L 2 M 1
function [ ] = square_spectrum( L,N )%Activity 1 for CEN415 Summer 2022 x=linspace(0,2*L,200);f1=(-1).^floor(x/L);plot(x,f1)f2=0;for n=1:2:N, f2=f2+4*sin(n*pi.*x/L)/n/pi;endhold onplot(x,f2)hold offend 1-Run the function with L=3 and N=1 and upload the plotted graph use matlap
a) Explain how graphs can be used to model electronicmail messages in a network. Should the edges be directedor undirected? Should multiple edges be allowed?Should loops be allowed?b) Describe a graph that models the electronic mail sentin a network in a particular week.
Which of the following best states the property of a spanning tree of a graph M? 1. It is always acyclic.2. It does not include each vertex of the graph M. 3. It is not a subgraph of M. 4. The graph M has only one spanning tree.
Which choice below describes the bold subgraph of the given graph a spanning tree a tree but not a spanning tree not a tree

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