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a. Let V = {x, y, z, u, v}. How many distinct graphs are there on the vertex set V with exactly 6 edges? (1 that for graphs G₁ = (V, E₁) and G₂ = (V, E₂) to be distinct, they need only have E₁ ‡ E2, but the be isomorphic.) b. In the graph below, give an example of a trail that is not a path. I

a. Let V = {x, y, z, u, v}. How many distinct graphs are there on the vertex set V with exactly 6 edges? (1 that for graphs G₁ = (V, E₁) and G₂ = (V, E₂) to be distinct, they need only have E₁ ‡ E2, but the be isomorphic.) b. In the graph below, give an example of a trail that is not a path. I

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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a. Let V = {x, y, z, u, v}. How many distinct graphs are there on the vertex set V with exactly 6 edges? (Note that for graphs G₁ = (V, E₁) and G₂ = (V, E₂) to be distinct, they need only have E₁ # E2, but they may be isomorphic.) b. In the graph below, give an example of a trail that is not a path. I Y U Z
Transcribed Image Text:a. Let V = {x, y, z, u, v}. How many distinct graphs are there on the vertex set V with exactly 6 edges? (Note that for graphs G₁ = (V, E₁) and G₂ = (V, E₂) to be distinct, they need only have E₁ # E2, but they may be isomorphic.) b. In the graph below, give an example of a trail that is not a path. I Y U Z
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