Linear Algebra and Its Applications · Problem 2.5.14
Vector Spaces — Gilbert Strang
Mathematics · graphs-and-networks
Problem
If MIT beats Harvard 35-0, Yale ties Harvard, and Princeton beats Yale 7-6, what score differences in the other 3 games (H-P, MIT-P, MIT-Y) will allow potential differences that agree with the score differences? If the score differences are known for the games in a spanning tree, they are known for all games.