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수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
[창의 퍼즐] 그래프 색 전환하기 문제의 일반화
EulerD
2019.01.13 03:24
조회 551
임의의 Simple Graph G에 대해 k coloring을 부여한다.
각 color을 1, 2, ... ,k라 한다.
V(G)의 원소 v에 대해 함수 f(v)를 다음과 같이 정의한다.
v와 N(v)의 색의 값을 1 추가한다.
단, k+1 = 1
이때 몇번의 함수 시행으로 모든 점의 색을 같게 할 수 있음을 보여라.
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디듀우
Lv.7
2019.01.13 06:41
Simple Graph에 대해 설명해주실 수 있나요?
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http://mathworld.wolfram.com/SimpleGraph.html
좋아요0
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디듀우
Lv.7
2019.01.13 19:06
그래프에서 두 점을 두 번 잇거나 자기 자신과 연결되는 변이 없다는 건가요?
좋아요0
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지금 바로
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