| 具有环的本原有向图的重指数集 |
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| 引用本文： | 苗正科.具有环的本原有向图的重指数集[J].徐州师范大学学报(自然科学版),2002,20(2):12-14,33. |
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| 作者姓名： | 苗正科 |
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| 作者单位： | 徐州师范大学,数学系,江苏,徐州,221116 |
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| 基金项目： | ThisprojectissupportedbyNSFoftheEducationDepartmentofJiangsuProvince(GrantNo .0 0KJB110 0 0 6) |
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| 摘 要： | 设S^1n（k）和S^2n（k）分别表示至少有一环的n阶本原有向图的第k个下重指数集和第k个上重指数集，对2≤k≤n-1，证得S^1n(k）={1，2…，n-k）}，S^2n(k)={1,2,…,2n-k-1}。
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| 关 键 词： | 环 重指数集 本原有向图 广义指数 下重指数集 上重指数集 图论 |
The Multiexponent Sets of Primitive Digraphs with Loop |
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| MIAO Zheng-ke.The Multiexponent Sets of Primitive Digraphs with Loop[J].Journal of Xuzhou Normal University(Natural Science Edition),2002,20(2):12-14,33. |
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| Authors: | MIAO Zheng-ke |
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| Abstract: | Let D be a primitive digraph of order n. In 1990, the lower and upper multiexponent of D was defined. Let S1n(k) and S2n(k) denote the k-th lower and upper multiexponent set of primitive digraphs of order n with at least one loop respectively. In this paper, it is proved that S1n(k)={1,2,…,n-k} and S2n(k)={1,2,…,2n-k-1} for 2≤k≤n-1. |
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| Keywords: | primitive digraph generalized exponent multiexponent |
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