IR-TST 2020 Problem 1
- Test 1
A weighted complete graph with distinct positive wights is given such that in every triangle is degenerate that is wight of an edge is equal to sum of two other. Prove that one can assign values to the vertexes of this graph such that the wight of each edge is the difference between two assigned values of the endpoints.
Proposed by Morteza Saghafian
Dataset text AI-MO AoPS. Quoted with source.
Solutions
No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.
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