| 图的ABC指标与直径 |
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| 引用本文： | 武 琳,胡玉梅.图的ABC指标与直径[J].河北科技大学学报,2016,37(6):552-555. |
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| 作者姓名： | 武 琳 胡玉梅 |
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| 作者单位： | ;1.天津大学理学院 |
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| 基金项目： | 国家自然科学基金(11001196) |
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| 摘 要： | 为了更好地研究拓扑指标在物理化学领域的良好性质,考虑基于度和基于距离的指标之间的关系问题,在直径这一作为距离的不变量的基础上,研究了图的ABC指标和直径的关系。根据相关引理,推导出了树和单圈图的ABC指标与直径的关系,得出了ABC指标和直径差值的紧的下界。
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| 关 键 词： | 代数拓扑 ABC指标 直径 树 单圈图 极值 |
| 收稿时间： | 2016/3/29 0:00:00 |
| 修稿时间： | 2016/9/29 0:00:00 |
Atom-bond connectivity index and diameter of graphs |
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| WU Lin and HU Yumei.Atom-bond connectivity index and diameter of graphs[J].Journal of Hebei University of Science and Technology,2016,37(6):552-555. |
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| Authors: | WU Lin and HU Yumei |
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| Abstract: | For further study of the numerous nice properties of topological indices in physical and chemical fields, it is worth considering the relation between a degree-based index and a distance-based index. With the fact that diameter is an invariant based on distance, the relations between atom-bond connectivity index, diameter in trees and unicyclic graphs are studied. Based on relative lemma, the relation between atom-bond connectivity index and diameter in tree and unicyclic graphs is investigated, then the sharp lower bounds of the difference of index and diameter are given. |
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| Keywords: | algebraic topology ABC index diameter tree unicyclic graph extreme value |
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