A group of students are going on a field study. However, there are some conflicts within the group among the students. There are 10 students in the group. They are labelled K-T Shown below are the students that will have problems if placed together: K, L, N, O, R L, K, M, O, P M, L, O, P, R N, K, Q O, K, L, M, Q, R, S P, L, M, S, T Q, N, O R, K, M, O, S S, O, P, R, T T, P, S   Instruction: Using a graph coloring, determine how many cars will be needed for the field trip so that no two students in the same group have a conflict with each other.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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A group of students are going on a field study. However, there are some conflicts within the group among the students. There are 10 students in the group. They are labelled K-T

Shown below are the students that will have problems if placed together:

K, L, N, O, R

L, K, M, O, P

M, L, O, P, R

N, K, Q

O, K, L, M, Q, R, S

P, L, M, S, T

Q, N, O

R, K, M, O, S

S, O, P, R, T

T, P, S

 

Instruction:

Using a graph coloring, determine how many cars will be needed for the field trip so that no two students in the same group have a conflict with each other.

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