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Function: require_once
수학동아 - 폴리매스
함께 풀고 싶은 문제
창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.
Amath
2022.08.08 07:00
조회 131
임의의 그래프에서, x개의 색을 각 꼭짓점에 색칠할 때, 서로 연결된 꼭짓점은 다른 색을 칠하는 경우의 수를 그 그래프의 채색다항식(x에 대한 다항식이다)이라고 한다.
문제 1. 정점이 3개 이상인 연결그래프의 채색다항식은 
또는 
를 인수로 가짐을 보여라.
문제 2. 마름모 모양의 그래프가 n개 있고, 그 n개의 그래프는 한 줄로 연결되어 있다. (구체적으로 연결된 형태는 나중에 그림으로 올릴게요. ) 이 그래프의 채색다항식을 구하여라.
지금 바로
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