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图论在单词接龙中的应用
引用本文:孙君意. 图论在单词接龙中的应用[J]. 北京联合大学学报(自然科学版), 2005, 19(3): 30-33
作者姓名:孙君意
作者单位:华中师范大学,信息技术系,武汉,430079
摘    要:讨论了"单词接龙"的求解问题.运用图论中的欧拉定理建立了数学模型,并且设计了比较优化的算法,编制了程序.对任意一组单词,该程序可以判断出它们能否完成接龙.经测试,该算法较之传统的穷举法明显地降低了复杂度.

关 键 词:图论  欧拉路  单词接龙  图算法
文章编号:1005-0310(2005)03-0030-04
收稿时间:2005-04-06
修稿时间:2005-04-06

The Application of Graph Theory in a Fan-tan Game
SUN Jun-yi. The Application of Graph Theory in a Fan-tan Game[J]. Journal of Beijing Union University, 2005, 19(3): 30-33
Authors:SUN Jun-yi
Abstract:The math problem in a fan - tan game is discussed. By using graph theory to build a mathematical model and designing an effective algorithm to solve the problem, the program is done. This algorithm - based program can judge whether a group of words can be strung together. Following tests the method is found much less complex than the traditional method of exhaustion.
Keywords:graph theory   Euler circuit   fan-tan game   graph algorithm
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