please send handwritten solution for Q2 part a (a) Apply the (i) depth-first search and(ii) breadth-first search algorithmsto the following graph. Root your searchtree at 1 and use the natural ordering onthe vertices.10(b) Let G = (V, E) be a connected planar multigraph. Consider a planar embedding of G with F faces.Recall that the degree of a face is the length of its facial walk. Show that if every face has degree 4,then |E = 2|V| – 4.%3D

It is given in the question Root of the graph is 1. So the traversal will begin with 1. Here we have…

Answered: (a) Apply the (i) depth-first search…

(a) Apply the (i) depth-first search and (ii) breadth-first search algorithms to the following graph. Root your search tree at 1 and use the natural ordering on the vertices. 11 10

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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Concept explainers

Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.

Question

please send handwritten solution for Q2 part a

(a) Apply the (i) depth-first search and
(ii) breadth-first search algorithms
to the following graph. Root your search
tree at 1 and use the natural ordering on
the vertices.
10
(b) Let G = (V, E) be a connected planar multigraph. Consider a planar embedding of G with F faces.
Recall that the degree of a face is the length of its facial walk. Show that if every face has degree 4,
then |E = 2|V| – 4.
%3D

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