The representatives to the United Nations from different countries meet for a summit. After a few common sessions, the representatives have to participate in some one-on-one sessions with one another to discuss issues between the two countries. We have to schedule these one-on-one sessions into time slots and we would like as few time slots as possible for more manageable logistics. Model this problem as a graph coloring problem (State what are the vertices, what are the edges, what is being colored, what do the colors stand for).
The representatives to the United Nations from different countries meet for a summit. After a few common sessions, the representatives have to participate in some one-on-one sessions with one another to discuss issues between the two countries. We have to schedule these one-on-one sessions into time slots and we would like as few time slots as possible for more manageable logistics. Model this problem as a graph coloring problem (State what are the vertices, what are the edges, what is being colored, what do the colors stand for).
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter18: Deterministic Dynamic Programming
Section18.4: Resource-allocation Problems
Problem 3P
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(b) The representatives to the United Nations from different countries meet for a summit. After a few common sessions, the representatives have to participate in some one-on-one sessions with one another to discuss issues between the two countries. We have to schedule these one-on-one sessions into time slots and we would like as few time slots as possible for more manageable logistics. Model this problem as a graph coloring problem (State what are the vertices, what are the edges, what is being colored, what do the colors stand for).
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