| 某类本原不可幂定号有向图基的界 |
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| 引用本文： | 王慧敏,邵燕灵.某类本原不可幂定号有向图基的界[J].商丘师范学院学报,2011,27(6):1-4. |
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| 作者姓名： | 王慧敏 邵燕灵 |
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| 作者单位： | 中北大学数学系,山西太原,030051 |
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| 基金项目： | 国家自然科学基金资助项目(11071227); 山西省自然科学基金资助项目(2008011009) |
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| 摘 要： | 对某类含有3个圈和4个圈的本原不可幂定号有向图的基进行了研究.利用有关本原不可幂定号有向图的引理及定义得到基的上界,再运用反证法并结合图中的＂异圈对＂、Froben ius集及本原指数等相关知识讨论了在这类图中是否存在所需的SSSD途径对,从而可得其下界.若上界与下界相等,则可得到其基的具体值.
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| 关 键 词： | SSSD途径对 基 定号有向图 本原指数 |
Bounds on the bases of the class primitive non-powerful signed digraphs |
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| WANG Huimin,SHAO Yanling.Bounds on the bases of the class primitive non-powerful signed digraphs[J].Journal of Shangqiu Teachers College,2011,27(6):1-4. |
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| Authors: | WANG Huimin SHAO Yanling |
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| Institution: | WANG Huimin,SHAO Yanling(College of Science,North University of China,Taiyuan 030051,China) |
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| Abstract: | In this work,we study the bases of a kind of primitive non-powerful signed digraphs with three and four simpe cycles.The upper bounds of the bases are obtained with some lemmas and definition of the primitive non-powerful signed digraphs.Then the lower bounds of the bases are obtained through discussing whether there is a pair of SSSD walks in digraphs by using knowledge about distinguished cycle pair,Frobenius set,primitive exponent.If the upper bounds are equal with the lower bounds,the specific value of ... |
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| Keywords: | SSSD walks bases signed digraph primitive exponent |
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