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(a) The graph G1 has vertices with degrees 1, 1, 1, 1, 1,2, 2, 3, 4. Is G1 a tree? O no yes

(a) The graph G1 has vertices with degrees 1, 1, 1, 1, 1,2, 2, 3, 4. Is G1 a tree? O no yes

Database System Concepts
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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please send correct answer for part a
There are three problems below concerning simple connected graphs G whose degrees are given. For each graph you are to answer two questions. (i) Is the graph a tree? (ii) If it is possible for a graph with the given degrees to be planar, how many regions would there be in a planar representation of G? If it is impossible for the graph to be planar, enter 0 for the number of regions. Note. In some of the following there may be many vertices having the same degree - make sure you count the vertices carefully! (a) The graph G1 has vertices with degrees 1, 1,1, 1, 1, 2, 2, 3, 4. Is G1 a tree? O yes o no How many regions are there in a planar representation of G1? Enter 0 if G1 cannot be planar. Number (b) The graph G2 has vertices with degrees 2, 4, 4, 5, 5, 5, 6,6, 7. Is G2 a tree? O yes o no How many regions are there in a planar representation of G2? Enter 0 if G2 cannot be planar. Number (c) The graph G3 has vertices with degrees 2, 3, 3, 4, 4, 4, 4, 6. Is G3 a tree? O yes O no How many regions are there in a planar representation of G3? Enter 0 if G3 cannot be planar. Number
Transcribed Image Text:There are three problems below concerning simple connected graphs G whose degrees are given. For each graph you are to answer two questions. (i) Is the graph a tree? (ii) If it is possible for a graph with the given degrees to be planar, how many regions would there be in a planar representation of G? If it is impossible for the graph to be planar, enter 0 for the number of regions. Note. In some of the following there may be many vertices having the same degree - make sure you count the vertices carefully! (a) The graph G1 has vertices with degrees 1, 1,1, 1, 1, 2, 2, 3, 4. Is G1 a tree? O yes o no How many regions are there in a planar representation of G1? Enter 0 if G1 cannot be planar. Number (b) The graph G2 has vertices with degrees 2, 4, 4, 5, 5, 5, 6,6, 7. Is G2 a tree? O yes o no How many regions are there in a planar representation of G2? Enter 0 if G2 cannot be planar. Number (c) The graph G3 has vertices with degrees 2, 3, 3, 4, 4, 4, 4, 6. Is G3 a tree? O yes O no How many regions are there in a planar representation of G3? Enter 0 if G3 cannot be planar. Number
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