To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

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Answer 1

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Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

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d((x, y), (z, w)) = |xz|+|yw|, show that whether d is a metric on R² or not?. Q3/Let R be a set of real number and d: R² x R² → R such that -> d((x, y), (z, w)) = max{\x - zl, ly - w} show that whether d is a metric on R² or not?. Q4/Let X be a nonempty set and d₁, d₂: XXR are metrics on X let d3,d4, d5: XX → R such that d3(x, y) = 4d2(x, y) d4(x, y) = 3d₁(x, y) +2d2(x, y) d5(x,y) = 2d₁ (x,y))/ 1+ 2d₂(x, y). Show that whether d3, d4 and d5 are metric on X or not?

please Solve questions by Course Name( Ordinary Differential Equations II 2)

Answer 2

Question

Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

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Answer 3

Question

Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

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Answer 4

Question

Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

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Answer 5

Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

Answer 6

Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

Answer 7

Chapter 12, Problem 6RE

(a)

To determine

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

Answer 8

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

Answer 9

(b)

To determine

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

Answer 10

Expert Solution & Answer

Answer 11

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Answer 12

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Answer 13

Ch. 12.1 - Prob. 1TFQ Ch. 12.1 - Prob. 2TFQ Ch. 12.1 - Prob. 3TFQ Ch. 12.1 - Prob. 4TFQ Ch. 12.1 - Prob. 5TFQ Ch. 12.1 - Prob. 6TFQ Ch. 12.1 - Prob. 7TFQ Ch. 12.1 - Prob. 8TFQ Ch. 12.1 - Prob. 9TFQ Ch. 12.1 - Prob. 10TFQ

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

Solution Summary: The author explains that up to isomorphism, there is only one unlabeled tree on seven vertices with n-1 edges.

To prove: That up to isomorphism there is only one unlabeled tree on seven vertices with a vertex of degree 5 and another of degree 2. Also draw a picture of this tree.

The labeling of tree obtained in (a) in two different ways so as to produce nonisomorphic labeled trees.

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Chapter 12 Solutions