| 一类n阶本原图的广义Competition指数 |
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| 引用本文： | 张洁敏,高玉斌. 一类n阶本原图的广义Competition指数[J]. 常德师范学院学报(自然科学版), 2014, 0(1): 4-6,15 |
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| 作者姓名： | 张洁敏 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： | 国家自然科学基金资助项目（11071227）;山西省回国留学人员科研资助项目（2012-0701 |
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| 摘 要： | 根据图论、数论的相关知识,对本原图中每一点经过k长途径所到达点的集合进行分析,再结合广义Competition 指数的定义,确定了一类n阶本原图的广义 Competition 指数。当m≤s＋1且s＋m为奇数时,km（D）=1＋〔s＋m-1/2〕s;当m≤s且s＋m为偶数时,km（D）=1＋〔s＋m-2/2〕（s＋1）;当m≥s＋2时,km（D）=1＋s2.
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| 关 键 词： | 本原图 途径 广义competition指数 |
Generalized competition indexes of a class of primitive digraphs of order n |
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| Affiliation: | ZHANG JieMin, GAO YuMin |
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| Abstract: | Based on the related knowledge of graph theory and number theory, the set formed by the vertexes was analyzed, which arrived by every vertex passing a walk of length k in a primitive digraph. Then combined with the definition of generalized competition index, the generalized competition indexes of a class of primitive digraphs of ordern was determined.If m≤s＋1 and s＋m is odd,km（D）=1＋〔s＋m-1/2〕s;if m≤s and s＋m in even,km（D）=1＋〔s＋m-2/2〕（s＋1）;if m≥s＋2时,km（D）=1＋s2. |
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| Keywords: | primitive digraph walk generalized competition index |
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