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B. 4733. Every edge of a simple connected graph of $\displaystyle n\ge 2$ vertices is labelled with either a 1 or with a 2. Then each vertex is assigned with the product of the numbers on the edges product of the numbers on the related edges on it. Show that there will be a pair of two vertices assigned with the same number.

Proposed by A. Hujdurović, Koper

(3 points)

Deadline expired on 10 November 2015.

Statistics on problem B. 4733.
 207 students sent a solution. 3 points: 171 students. 2 points: 13 students. 1 point: 7 students. 0 point: 12 students. Unfair, not evaluated: 2 solutions. Unfair, not evaluated: 2 solutions.

• Problems in Mathematics of KöMaL, October 2015

•  Támogatóink: Morgan Stanley