| 一类本原有向图的m-competition指数及广义scrambling指数 |
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| 引用本文： | 申佳,高玉斌. 一类本原有向图的m-competition指数及广义scrambling指数[J]. 湖南文理学院学报(自然科学版), 2015, 0(3): 6-10. DOI: 10.3969/j.issn.1672-6146.2015.03.002 |
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| 作者姓名： | 申佳 高玉斌 |
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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,山西省回国留学人员科研资助项目 |
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| 摘 要： | 根据图论、数论和集合的相关知识,对本原图中任一点经过k长途径所到达点的集合进行分析,结合广义competition指数和广义scrambling指数的定义,研究了一类特殊本原有向图(含有2个s-1圈和s个s圈)。得到了这一类本原有向图的m-competition指数以及广义scrambling指数。
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| 关 键 词： | 本原有向图 本原指数 m-competition指数 广义scrambling指数 |
Them-competition index and generalized scrambling indices of a class of primitive digraph |
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| Abstract: | According to the relevant knowledge of graph theory and number theory and the set theory, by analyzing the set of vertexes, which are formed by every vertex passing a walk of lengthk in the primitive digraph, combining with the definition ofm-competition index and generalized scrambling indices, them-competition index and the generalized indices of a class of primitive digraph with two (s?1)-cycles andss-cycles are obtained. |
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| Keywords: | primitive digraph primitive exponent scrambling index m-competition index |
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