Consider the following graph. d a g Og and b O c and e Ob and i Og and f b h e (a) Without adding new vertices, add a single edge to the graph so that the new graph will have an Euler path. Which vertices does your new edge connect? Ob and h O i and d Od and h Oh and f O a and e (b) In addition to the edge from part (a), add a second edge (using the existing vertices) so that the resulting graph will have an Euler circuit. Which vertices does your second new edge connect? Od and c
Consider the following graph. d a g Og and b O c and e Ob and i Og and f b h e (a) Without adding new vertices, add a single edge to the graph so that the new graph will have an Euler path. Which vertices does your new edge connect? Ob and h O i and d Od and h Oh and f O a and e (b) In addition to the edge from part (a), add a second edge (using the existing vertices) so that the resulting graph will have an Euler circuit. Which vertices does your second new edge connect? Od and c
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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Transcribed Image Text:Consider the following graph.
d
a
g
b
h
(a) Without adding new vertices, add a single edge to the graph so that the new graph will have an Euler path. Which vertices does your new edge connect?
O b and h
O i and d
Od and h
Oh and f
O a and e
(b) In addition to the edge from part (a), add a second edge (using the existing vertices) so that the resulting graph will have an Euler circuit. Which vertices does your second new edge connect?
O d and c
O g and b
O c and e
O b and i
O g and f
Expert Solution
Step 1
Answer for the above mentioned questions are :
Question a :
Option 1 i.e. b and h
Question b:
Option 3 i.e. c and e
Explanation:
A)
If the graph has exactly two vertices of odd degree, then the graph contains an Euler path. Euler path has following properties
1. Euler path uses every edge of the graph exactly once.
2.Euler path starts and ends with different vertices.
The graph has four vertices of odd degree that is, b, c, e, and h
Add a single edge between the vertices b and h of the given graph
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