(a) Give the definition of an isomorphism from a graph G to a graph H. (b) Consider the graphs G and H below. Are G and H isomorphic? • If yes, give an isomorphism from G to H. You don’t need to prove that it is an isomorphism. • If no, explain why. If you claim that a graph does not have a certain feature, you must demonstrate that concretely. (c) Consider the degree sequence (1, 2, 4, 4, 5). For each of the following, if the answer is yes, draw an example. If the answer is no, explain why. (i) Does there exist a graph with this degree sequence? (ii) Does there exist a simple graph with this degree sequence?
(a) Give the definition of an isomorphism from a graph G to a graph H. (b) Consider the graphs G and H below. Are G and H isomorphic? • If yes, give an isomorphism from G to H. You don’t need to prove that it is an isomorphism. • If no, explain why. If you claim that a graph does not have a certain feature, you must demonstrate that concretely. (c) Consider the degree sequence (1, 2, 4, 4, 5). For each of the following, if the answer is yes, draw an example. If the answer is no, explain why. (i) Does there exist a graph with this degree sequence? (ii) Does there exist a simple graph with this degree sequence?
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
Related questions
Question
(a) Give the definition of an isomorphism from a graph G to a graph H.
(b) Consider the graphs G and H below. Are G and H isomorphic?
• If yes, give an isomorphism from G to H. You don’t need to prove that it is
an isomorphism.
• If no, explain why. If you claim that a graph does not have a certain feature,
you must demonstrate that concretely.
(c) Consider the degree sequence (1, 2, 4, 4, 5). For each of the following, if
the answer is yes, draw an example. If the answer is no, explain why.
(i) Does there exist a graph with this degree sequence?
(ii) Does there exist a simple graph with this degree sequence?
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