| 单圈图和双圈图的动态色数 |
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| 引用本文： | 秦健,张岩. 单圈图和双圈图的动态色数[J]. 山东大学学报(理学版), 2007, 42(10): 37-40 |
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| 作者姓名： | 秦健 张岩 |
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| 作者单位： | 中国矿业大学,理学院数学系,江苏,徐州,221008;中国矿业大学,理学院数学系,江苏,徐州,221008 |
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| 摘 要： | 在对单圈图的性质进行分析的基础上，证明了单圈图的动态色数是3或4.构造了双圈图的子图H1和H2,证明了大部分双圈图的动态色数χd(G)=max{χd(H1),χd(H2)}.并给出了一个动态色数不是max{χd(H1),χd(H2)}的双圈图.
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| 关 键 词： | 单圈图 双圈图 动态染色 色数 |
| 文章编号： | 1671-9352（2007）10-0037-04 |
| 修稿时间： | 2007-05-12 |
Dynamic chromatic number of unicyclic graphs and bicyclic graphs |
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| QIN Jian,ZHANG Yan. Dynamic chromatic number of unicyclic graphs and bicyclic graphs[J]. Journal of Shandong University, 2007, 42(10): 37-40 |
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| Authors: | QIN Jian ZHANG Yan |
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| Affiliation: | School of Science, China University of Mining and Technology, Xuzhou 221008, Jiangsu, China |
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| Abstract: | The dynamic chromatic number of unicyclic graphs is proved to be 3 or 4 based on the analysis of the property of unicyclic graphs. Then the dynamic chromatic number of most bicyclic graphs is proved to be χd(G)=max{χd(H1),χd(H2)} after the subgraphs H1 and H2 of bicyclic graphs are structured. At last, a bicyclic graph, is given whose dynamic chromatic number is not max{χd(H1),χd(H2)}. |
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| Keywords: | unicyclic graphs bicyclic graphs dynamic coloring chromatic number |
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