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若干与统计物理相关的组合问题
  • ISSN号：0438-0479
  • 期刊名称：《厦门大学学报：自然科学版》
  • 时间：0
  • 分类：O157.5[理学—数学;理学—基础数学] O189.24[理学—数学;理学—基础数学]
  • 作者机构：[1]厦门大学数学科学学院,福建厦门361005, [2]集美大学理学院,福建厦门361021
  • 相关基金：国家自然科学基金项目（10831001 10771086）
作者： 张福基[1], 晏卫根[2], 金贤安[1]
关键词： 图, 完美匹配, 支撑树, 计数, 链环, 图多项式, 链环多项式, 零点分布, 统计物理, graph, pefect matching, spanning tree, enumeration, link, graph polynomial, link polynomial, zeros, statistical physics
中文摘要：

简单介绍统计物理与纽结理论中的一些组合问题,包括反射对称图的dimer问题与支撑树的计数问题,Dimer问题的熵与边界的关系,计数平面图的完美匹配数的图压缩方法,链环多项式的计算以及Jones多项式的零点的分布问题,主要综述近年来我们在这些问题中得到的部分结果.

英文摘要：

In this paper we first give a simple introduction to somecombinatorial problems in statistical physics and knot theory.Thenwe survey some results of our group in these respects obtained inrecent years,including enumerations of dimer and spanning trees ofgraphs with reflective symmetry,the relation bewteen dimer entropyand lattice boundary,graphical condensation method on enmueratingperfect matchings,computaions of link polynomials and zeros of theJones polynomials,etc.

同期刊论文项目
应用图论
期刊论文 159 获奖 1 著作 2
图的Pfaffian定向与完美匹配的计数
期刊论文 17 会议论文 1
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期刊信息
  • 《厦门大学学报：自然科学版》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:厦门大学
  • 主编：谢素原
  • 地址：厦门市思明南路422号厦门大学嘉庚三 817-819室
  • 邮编：361005
  • 邮箱：jxmu@xmu.edu.cn
  • 电话：0592-2180367 2187731
  • 国际标准刊号：ISSN：0438-0479
  • 国内统一刊号：ISSN：35-1070/N
  • 邮发代号:34-8
  • 获奖情况:
  • 多次被评为全国、华东地区、福建省的优秀科技期刊,2001年入选国家新闻出版总署评定的"中国期刊方阵",2003年获国家新闻出版总署颁发的"第二届国家科技...,2006年获国家教育部科技司颁发的"首届中国高校精...
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  • 被引量:16575