| 一类特殊本原不可幂定号有向图的广义基 |
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| 引用本文： | 代爱凤,邵燕灵.一类特殊本原不可幂定号有向图的广义基[J].河南师范大学学报(自然科学版),2013,41(1):6-10. |
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| 作者姓名： | 代爱凤 邵燕灵 |
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| 作者单位： | 中北大学数学系,太原,030051 |
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| 基金项目： | 国家自然科学基金(11071227);山西省回国留学人员科研资助项目(12-070) |
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| 摘 要： | 要考虑了一类含有3个圈(其中两个圈的长度相等但不相交)的本原不可幂定向有向图.通过分析图中是否存在寻求的途径及SSSD途径对,运用本原不可幂定号有向图和Frobenius数的性质及定义,给出了此类图中两个特殊图的广义本原指数和广义基.
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| 关 键 词： | 本原不可幂定号有向图 广义本原指数 广义基 |
The Local Bases of a Special Class of Primitive Non-powerful Signed Digraphs |
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| DAI Aifeng
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SHAO Yanling.The Local Bases of a Special Class of Primitive Non-powerful Signed Digraphs[J].Journal of Henan Normal University(Natural Science),2013,41(1):6-10. |
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| Authors: | DAI Aifeng SHAO Yanling |
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| Institution: | (Department of Mathematics,North University of China,Taiyuan 030051,China) |
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| Abstract: | In this paper,we considered a special class of primitive non-powerful signed digraphs which contained three cycles,two cycles of which are not intersect but the lengths are equal.Through the analysis of whether there are seeking way and a pair of SSSD walks in digraphs,by using some of the definition and nature about the primitive non-powerful signed digraphs and Frobenius number,we give the local primitive exponents and local bases of such two special digraphs. |
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| Keywords: | primitive non-powerful signed digraph local primitive exponent local base |
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