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2022 Turkey Team Selection Test
9
9
Part of
2022 Turkey Team Selection Test
Problems
(1)
Tree inequality graph theory
Source: Turkey TST 2022 P9 Day 3
3/13/2022
In every acyclic graph with 2022 vertices we can choose
k
k
k
of the vertices such that every chosen vertex has at most 2 edges to chosen vertices. Find the maximum possible value of
k
k
k
.
combinatorics
combinatorics proposed
inequalities
graph theory