1. Make a graph representation of the following little league schedule, considering the two divisions. Let the vertices represent the teams and the edges represent who they play with. The little league in town has two divisions: Green and Blue. Here are the names of the teams in each division: Green Division: Cubs, Lions, Bears, Tigers Blue Division: Red Sox, Yankees, Giants • Cubs play with: Red Sox, Yankees, Giants, Lions play with: Red Sox, Yankees • • Bears play with: Red Sox, Yankees • Tigers play with: Red Sox, Giants 2. Answer the following questions. a. What is the degree of the Red Sox vertex? b. How many edges meet at the Tigers vertex? c. How many edges are there in total in this graph? d. Does this graph have a loop?
1. Make a graph representation of the following little league schedule, considering the two divisions. Let the vertices represent the teams and the edges represent who they play with. The little league in town has two divisions: Green and Blue. Here are the names of the teams in each division: Green Division: Cubs, Lions, Bears, Tigers Blue Division: Red Sox, Yankees, Giants • Cubs play with: Red Sox, Yankees, Giants, Lions play with: Red Sox, Yankees • • Bears play with: Red Sox, Yankees • Tigers play with: Red Sox, Giants 2. Answer the following questions. a. What is the degree of the Red Sox vertex? b. How many edges meet at the Tigers vertex? c. How many edges are there in total in this graph? d. Does this graph have a loop?
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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Transcribed Image Text:1. Make a graph representation of the following little league schedule, considering the two
divisions. Let the vertices represent the teams and the edges represent who they play
with. The little league in town has two divisions: Green and Blue. Here are the names of
the teams in each division:
Green Division: Cubs, Lions, Bears, Tigers
Blue Division: Red Sox, Yankees, Giants
•
Cubs play with: Red Sox, Yankees, Giants,
Lions play with: Red Sox, Yankees
•
•
Bears play with: Red Sox, Yankees
• Tigers play with: Red Sox, Giants
2. Answer the following questions.
a. What is the degree of the Red Sox vertex?
b. How many edges meet at the Tigers vertex?
c. How many edges are there in total in this graph?
d. Does this graph have a loop?
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