This graph shows the times in minutes to travel directly between towns P, Q, R, T, S and U. Read the following statements and select all the options that are true about this graph. 70 60 30 Pa R 90 U 50 110 80 90 T 50 Not every edge is connected to every other vertex by an edge. Therefore this is not a complete graph The graph has no loops and there is a maximum of one edge joining each pair of distict vertices. Therefore this is a simple graph. It is possible to travel from every vertex to every other vertex by following the edges, therefore this is a super connected graph.

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
icon
Related questions
Question
**Understanding Travel Times Between Towns**

This graph presents the travel times in minutes for direct routes between towns P, Q, R, T, S, and U. Analyze the graph and make informed selections regarding its characteristics from the statements provided.

**Graph Explanation:**
- The graph consists of six vertices labeled P, Q, R, T, S, and U.
- Edges between the vertices represent direct travel routes, with labels indicating the travel time in minutes.

**Vertices Connections and Travel Times:**
- P and Q: 70 minutes
- Q and R: 60 minutes
- R and S: 90 minutes
- S and T: 50 minutes
- T and P: 110 minutes
- P and U: 90 minutes
- U and S: 50 minutes
- P and R: 30 minutes
- R and U: 80 minutes

**Statements for Consideration:**

1. Not every edge is connected to every other vertex by an edge. Therefore, this is not a complete graph.
2. The graph has no loops and there is a maximum of one edge joining each pair of distinct vertices. Therefore, this is a simple graph.
3. It is possible to travel from every vertex to every other vertex by following the edges, therefore this is a super connected graph.

**Selections:**
- [] Not every edge is connected to every other vertex by an edge. Therefore, this is not a complete graph.
- [] The graph has no loops and there is a maximum of one edge joining each pair of distinct vertices. Therefore, this is a simple graph.
- [] It is possible to travel from every vertex to every other vertex by following the edges, therefore this is a super connected graph.
Transcribed Image Text:**Understanding Travel Times Between Towns** This graph presents the travel times in minutes for direct routes between towns P, Q, R, T, S, and U. Analyze the graph and make informed selections regarding its characteristics from the statements provided. **Graph Explanation:** - The graph consists of six vertices labeled P, Q, R, T, S, and U. - Edges between the vertices represent direct travel routes, with labels indicating the travel time in minutes. **Vertices Connections and Travel Times:** - P and Q: 70 minutes - Q and R: 60 minutes - R and S: 90 minutes - S and T: 50 minutes - T and P: 110 minutes - P and U: 90 minutes - U and S: 50 minutes - P and R: 30 minutes - R and U: 80 minutes **Statements for Consideration:** 1. Not every edge is connected to every other vertex by an edge. Therefore, this is not a complete graph. 2. The graph has no loops and there is a maximum of one edge joining each pair of distinct vertices. Therefore, this is a simple graph. 3. It is possible to travel from every vertex to every other vertex by following the edges, therefore this is a super connected graph. **Selections:** - [] Not every edge is connected to every other vertex by an edge. Therefore, this is not a complete graph. - [] The graph has no loops and there is a maximum of one edge joining each pair of distinct vertices. Therefore, this is a simple graph. - [] It is possible to travel from every vertex to every other vertex by following the edges, therefore this is a super connected graph.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Maximum Flow
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education