(1 point) Which of the following degree sequences are possible for a simple graph? 4 A. (6,4,3,3,2,2,1) OB. (6,5.4.4.4.4.4.3) C. (3.2.2,2,1) OD. (9,8,7.5,5,3,2,2,1)
(1 point) Which of the following degree sequences are possible for a simple graph? 4 A. (6,4,3,3,2,2,1) OB. (6,5.4.4.4.4.4.3) C. (3.2.2,2,1) OD. (9,8,7.5,5,3,2,2,1)
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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![**Title:** HW7: Problem 4 - Degree Sequences in Graph Theory
**Instructions:**
(1 point) Which of the following degree sequences are possible for a simple graph?
**Options:**
- **A.** (6, 4, 3, 3, 2, 2, 1)
- **B.** (6, 5, 4, 4, 4, 4, 3)
- **C.** (3, 2, 2, 2, 1)
- **D.** (9, 8, 7, 5, 5, 3, 2, 2, 1)
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**Note:** A degree sequence is possible for a simple graph if it can be realized by some simple graph. A simple graph is an unweighted, undirected graph that has no loops or multiple edges between two vertices.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23af0884-495a-461c-9f7c-d263d97dbf10%2Ff2051da0-174a-40ab-a2f3-c3e603814af2%2Frqhizen_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title:** HW7: Problem 4 - Degree Sequences in Graph Theory
**Instructions:**
(1 point) Which of the following degree sequences are possible for a simple graph?
**Options:**
- **A.** (6, 4, 3, 3, 2, 2, 1)
- **B.** (6, 5, 4, 4, 4, 4, 3)
- **C.** (3, 2, 2, 2, 1)
- **D.** (9, 8, 7, 5, 5, 3, 2, 2, 1)
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**Additional Information:**
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You have 5 attempts remaining.
**Note:** A degree sequence is possible for a simple graph if it can be realized by some simple graph. A simple graph is an unweighted, undirected graph that has no loops or multiple edges between two vertices.
![**Title: Analyzing Degree Sequences in Graph Theory**
**Institution: Mathematical Association of America**
**Course: MAT 140, 410, 1100**
**Assignment: HW7**
**Problem 3: Identifying Possible Degree Sequences**
**Instructions:**
Determine which of the following degree sequences are possible for a graph:
**Options:**
- A. (6, 6, 6, 5, 4, 4, 3)
- B. (5, 5, 4, 3, 3, 2)
- C. (8, 7, 7, 6, 5, 3, 2, 1)
- D. (6, 5, 4, 4, 3, 2, 1)
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**User Progress:**
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**Time Stamp:**
- Date: May 25, 2022
- Time: 2:04 PM
**Analysis:**
This exercise involves reviewing potential degree sequences to determine their feasibility in the context of graph theory. Each list of numbers represents the degrees of nodes in a hypothetical graph, which need to be validated using graph theory principles.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23af0884-495a-461c-9f7c-d263d97dbf10%2Ff2051da0-174a-40ab-a2f3-c3e603814af2%2Fmr161vj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Analyzing Degree Sequences in Graph Theory**
**Institution: Mathematical Association of America**
**Course: MAT 140, 410, 1100**
**Assignment: HW7**
**Problem 3: Identifying Possible Degree Sequences**
**Instructions:**
Determine which of the following degree sequences are possible for a graph:
**Options:**
- A. (6, 6, 6, 5, 4, 4, 3)
- B. (5, 5, 4, 3, 3, 2)
- C. (8, 7, 7, 6, 5, 3, 2, 1)
- D. (6, 5, 4, 4, 3, 2, 1)
**Navigation:**
- [Previous Problem]
- [Problem List]
- [Next Problem]
**Controls:**
- [Preview My Answers]
- [Submit Answers]
**User Progress:**
- You have attempted this problem 1 time.
- Your overall recorded score is 0%.
- You have 4 attempts remaining.
**Time Stamp:**
- Date: May 25, 2022
- Time: 2:04 PM
**Analysis:**
This exercise involves reviewing potential degree sequences to determine their feasibility in the context of graph theory. Each list of numbers represents the degrees of nodes in a hypothetical graph, which need to be validated using graph theory principles.
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