[1]周环,倪琦,吕宁宁,等.一些树和单圈图的电阻谱确定[J].集美大学学报(自然科学版),2025,(3):286-291.
ZHOU Huan,NI Qi,Lv Ningning,et al.Determination of Some Trees and Unicyclic Graphs by Resistance Spectra[J].Journal of Jimei University,2025,(3):286-291.
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《集美大学学报(自然科学版)》[ISSN:1007-7405/CN:35-1186/N]
- 卷:
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- 期数:
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2025年第3期
- 页码:
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286-291
- 栏目:
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数理科学与信息工程
- 出版日期:
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2025-05-28
文章信息/Info
- Title:
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Determination of Some Trees and Unicyclic Graphs by Resistance Spectra
- 作者:
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周环1; 倪琦1; 吕宁宁2; 潘向峰1
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1.安徽大学数学科学学院,安徽 合肥 230601;2.安徽工业经济职业技术学院公共教学部,安徽 合肥 230051
- Author(s):
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ZHOU Huan1; NI Qi1; Lv Ningning2; PAN Xiangfeng1
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1.School of Mathematical Sciences,Anhui University,Hefei 230601,China;2.Department of Public Education,Anhui Technical College of Industry Economy,Hefei 230051,China
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- 关键词:
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星图; 双星图; 广义章鱼图; 电阻距离; 电阻谱
- Keywords:
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star; double star; generalized octopus graph; resistance distance; resistance spectra
- 分类号:
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- DOI:
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- 文献标志码:
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A
- 摘要:
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连通图G中两顶点间的电阻距离,定义为用单位电阻代替每条边之后这两顶点在相应电网络中的等效电阻。主要研究星图、双星图和广义章鱼图的电阻谱确定问题;利用相关的电网络理论,证明这些图可以由相应电阻谱确定。
- Abstract:
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The resistance distance between two vertices in a connected graph G is defined as the effective resistance between the two corresponding nodes in the resulting electrical network obtained by replacing each edge of G with a unit resistor.This paper demonstrated through the application of electrical network theory that star graphs,double star graphs,and generalized octopus graphs were determined by their resistance distance spectra.
参考文献/References:
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更新日期/Last Update:
2025-06-20