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正P-矩阵的逆零完成问题
  • ISSN号：1000-0917
  • 期刊名称：《数学进展》
  • 时间：0
  • 分类：O151.21[理学—数学;理学—基础数学]
  • 作者机构：[1]电子科技大学数学学院,成都四川610054
  • 相关基金：Supported by NSFC（No.10771030）and project for academic leader and group of UESTC Acknowledgement The authors would like to express their great gratitude to the referees for their constructive comments and suggestions that lead to enhancement of this paper.
作者： 牟谷芳[1], 黄廷祝[1]
关键词： 不完备的正P-矩阵, 通弦图, 通弦块图, partial positive P-matrix, inverse completion, Chordal graph, Chordal block graph
中文摘要：

本文基于不完备P-矩阵的1-通弦图和1-通弦块图的完成问题,获得了不完备正P-矩阵在一定条件下的k-通弦图和k-通弦块图的完成,同时解决了不完备正P-矩阵在k-通弦图和k-通弦块图下的逆零完成问题（k为大于1的整数）.

英文摘要：

In this paper,based on the completion problem of partial P-matrix for 1- chordal graph,we obtain the partial positive P-matrix completions of k-chordal graphs and k-chordal block graphs under some conditions and solve partial positive P-matrix completion problems with zeros in the inverse completion for k-chordal graphs and k-chordal block graphs （k≥2）.

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期刊信息
  • 《数学进展》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学协术学会
  • 主办单位:中国数学会
  • 主编：丁伟岳
  • 地址：北京大学数学系数学进展编辑部
  • 邮编：100871
  • 邮箱：
  • 电话：
  • 国际标准刊号：ISSN：1000-0917
  • 国内统一刊号：ISSN：11-2312/O1
  • 邮发代号:2-503
  • 获奖情况:
  • 国内外数据库收录:
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  • 被引量:3411