| 一类双色有向图本原指数的上界 |
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| 引用本文： | 汪荣,邵燕灵,高玉斌.一类双色有向图本原指数的上界[J].吉林大学学报(理学版),2008,46(4):601-606. |
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| 作者姓名： | 汪荣 邵燕灵 高玉斌 |
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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
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山西省自然科学基金 |
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| 摘 要： | 研究一类含有3个圈的双色有向图Dn的本原性及本原指数. 对其着色情况进行分类, 研究了各类情况的本原性, 得到了Dn本原指数的紧的上界, 并对达到本原指数上界的极图进行刻画.
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| 关 键 词： | 本原指数 双色有向图 极图 圈矩阵 |
| 收稿时间： | 2007-09-01 |
Upper Bound on Primitive Exponents of a Class of Two-colored Digraph |
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| WANG Rong,SHAO Yan-ling,GAO Yu-bin.Upper Bound on Primitive Exponents of a Class of Two-colored Digraph[J].Journal of Jilin University: Sci Ed,2008,46(4):601-606. |
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| Authors: | WANG Rong SHAO Yan-ling GAO Yu-bin |
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| Institution: | Department of Mathematics, North University of China, Taiyuan 030051, China |
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| Abstract: | We studied the primitivity conditions and primitive exponents of a class of two colored digraphs Dn with three cycles. Firstly we classified the digraphs by coloring. Secondly, we studied the primitivity conditions of all kinds of digraphs. Lastly, we gave the tight upper bound of the exponents of Dn and the characteristicof extremal two colored digraphs. |
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| Keywords: | primitive exponent two colored digraph extremal digraph cycle matrix |
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