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(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
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) **Buttons:** - **Previous Problem**: Navigate to the previous problem. - **Problem List**: View the list of problems. - **Next Problem**: Proceed to the next problem. - **Preview My Answers**: Review your selected answers. - **Submit Answers**: Submit your answers for grading. **Additional Information:** You have attempted this problem 0 times. 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.
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) **Buttons:** - **Previous Problem**: Navigate to the previous problem. - **Problem List**: View the list of problems. - **Next Problem**: Proceed to the next problem. - **Preview My Answers**: Review your selected answers. - **Submit Answers**: Submit your answers for grading. **Additional Information:** You have attempted this problem 0 times. 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) **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.
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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