| 无向图语言 |
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| 引用本文： | 师海忠. 无向图语言[J]. 计算机科学, 2011, 38(6): 259-261,274 |
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| 作者姓名： | 师海忠 |
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| 作者单位： | 西北师范大学数学与信息科学学院,兰州,730070 |
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| 基金项目： | 本文受廿肃省白然科学基金(ZS991-A25-017-G)资助。 |
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| 摘 要： | 无向图是图论中的基本概念，图半群是1991年提出的一个概念，形式语言与自动机理论是计算机科学与技术科学的重要基础理论。借助无向图和图半群，提出了无向图语言的概念，并研究了无向图语言的一个子类——平面图语言，给出了如下结论:一个无向图语言是平面图语言当且仅当它不包含K5语言或K3,3语言的剖分图语言。另外提出了几个开问题，其中之一是无向图语言与正则语言、上下文无关语言、上下文有关语言以及短语结构语言有何关系?
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| 关 键 词： | 无向图，图半群，无向图语言，平面图语言 |
Undirected Graph Languages |
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| SHI Hai-zhong. Undirected Graph Languages[J]. Computer Science, 2011, 38(6): 259-261,274 |
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| Authors: | SHI Hai-zhong |
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| Affiliation: | (College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070,China) |
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| Abstract: | Undirected graph is a elementary concept of graph theory. Graph semigroup is a concept proposed in 1991. A concept of undirected graph language was proposed with undirected graph and graph semigroup. Furthermore, a subclass of undirected graph language, plane graph language was studied. It is proved that a graph language is a plane graph language if and only if it contains no subdivision graph language of K5 language or K3,3 language. In addition,four open problems were proposed. One of them:what is the relations between undirected graph language and regular language,context free language, context sensitive language, phrase structure language, respectively. |
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| Keywords: | Undirected graph Graph semigroup Undirected graph language Plane graph language |
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