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恰有k个悬挂点的n阶双圈和三圈图的拟拉普拉斯谱半径
  • ISSN号：1000-4424
  • 期刊名称：高校应用数学学报A辑(中文版)
  • 时间：2011
  • 页码：215-222
  • 分类：O157.5[理学—数学;理学—基础数学]
  • 作者机构：[1]华南农业大学数学系,广东广州510642, [2]广东商学院数学系,广东广州510320, [3]华南师范大学数学科学学院,广东广州510631
  • 相关基金：国家自然科学基金（11071088）; 广东高校优秀青年创新人才培养计划项目（LYM10039）致谢感谢审稿者提出的宝贵的修改意见.
  • 相关项目：组合矩阵论的指数理论和谱理论
作者： 刘木伙|谭学忠|柳柏濂|
关键词： 拟拉普拉斯谱半径, 双圈图, 三圈图, signless Laplacian spectral radius, bicyclic graphs, tricyclic graphs
中文摘要：

设k,n为两个确定的正整数.本文得到了当1≤k≤n-7时恰有k个悬挂点的n阶连通三圈图的最大拟拉普拉斯谱半径的唯一极图,也得到了当1≤k≤n-5时恰有k个悬挂点的n阶连通双圈图的最大拟拉普拉斯谱半径的唯一极图.

英文摘要：

Let k,n be two fixed positive integers.In this paper,when 1 ≤ k ≤ n-7,the unique tricyclic graph,which shares the largest signless Laplacian spectral radius among all the connected tricyclic graphs with n vertices and k pendant vertices,is determined.Moreover,when 1 ≤ k ≤ n-5,the unique bicyclic graph,which shares the largest signless Laplacian spectral radius among all the connected bicyclic graphs with n vertices and k pendant vertices,is also determined.

同期刊论文项目
组合矩阵论的指数理论和谱理论
期刊论文 52
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期刊信息
  • 《高校应用数学学报：A辑》
  • 北大核心期刊（2011版）
  • 主管单位:国家教育部
  • 主办单位:浙江大学 中国工业与应用数学学会
  • 主编：林正炎 李大潜
  • 地址：杭州市玉泉浙江大学数学系
  • 邮编：310027
  • 邮箱：amjcu@zjy.edu.cn
  • 电话：0571-87951602
  • 国际标准刊号：ISSN：1000-4424
  • 国内统一刊号：ISSN：33-1110/O
  • 邮发代号:
  • 获奖情况:
  • 国内外数据库收录:
  • 美国数学评论（网络版）,德国数学文摘,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:3669