(3) All parts of this question refer to the following graph: 20% A shossa В (i) How many bridges are there in the graph? (ii) How many cycles are there in the graph? Do not count cycles as different if they use exactly the Mon nas D G 02 H same set of edges. For example, EFLKE and LFEKL count as sessal iii) How many different spanning trees does the graph contain? able taskoMonsh de tast dask iv) How many walks of length 5 start at I and end at L? (v) How many paths of length 8 start at A and end at D? vi) Draw the spanning tree that results from a breadth first search, starting at A and using the Manash Unive standard alphabetical order for vertices. Your answer must have vertex labels on it. Also, for your tutor's convenience, please position the vertices similarly to how they are positioned above. OMonash Monash same cycle. issessabre ble task, task, OMo essable ta ask, OM sk. eable task, ty 2021 rsity 2021. ersity 2021 Gersity 2021 esity 2027 sse issable sessablectar ssossplo tark OM essanld Sessabitask asabre task. Monash OMonsh Uni Sonash Univ OMonash Un ssessable

(3) All parts of this question refer to the following graph: 20% A shossa В (i) How many bridges are there in the graph? (ii) How many cycles are there in the graph? Do not count cycles as different if they use exactly the Mon nas D G 02 H same set of edges. For example, EFLKE and LFEKL count as sessal iii) How many different spanning trees does the graph contain? able taskoMonsh de tast dask iv) How many walks of length 5 start at I and end at L? (v) How many paths of length 8 start at A and end at D? vi) Draw the spanning tree that results from a breadth first search, starting at A and using the Manash Unive standard alphabetical order for vertices. Your answer must have vertex labels on it. Also, for your tutor's convenience, please position the vertices similarly to how they are positioned above. OMonash Monash same cycle. issessabre ble task, task, OMo essable ta ask, OM sk. eable task, ty 2021 rsity 2021. ersity 2021 Gersity 2021 esity 2027 sse issable sessablectar ssossplo tark OM essanld Sessabitask asabre task. Monash OMonsh Uni Sonash Univ OMonash Un ssessable

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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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.

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