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XES Mathematics Olympiad
the 12th XMO
Problem 4
Problem 4
Part of
the 12th XMO
Problems
(1)
Graph theory
Source: 12th XMO
4/13/2023
求最小的
n
,
n,
n
,
使得对任意有
1000
{1000}
1000
个顶点且每个顶点度均为
4
{4}
4
的简单图
G
,
G,
G
,
都一定可以从中取掉
n
{n}
n
条边
,
,
,
使
G
{G}
G
变为二部图
.
.
.
graph theory
xmo
combinatorics