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Mathematical Sciences: Cycle Cover, Integer Flow and Coloring - Research in Graph Theory

Mathematical Sciences: Cycle Cover, Integer Flow and Coloring - Research in Graph Theory
数学科学:环覆盖、整数流和着色 - 图论研究
批准号:
9104824
负责人:
Cun-Quan Zhang
金额:
$5.16万
依托单位国家:
美国
项目类别:
Continuing Grant
财政年份:
1991
资助国家:
美国
项目状态:
已结题
起止时间:
1991-12-01 至 1994-05-31

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中文摘要
翻译
张教授将研究双覆盖猜想 以及相关问题。 其中包括周期覆盖 问题和图族的整数流问题 不包含彼得森图的细分。 图论可以追溯到200年前,但仅仅是2000年。 在过去的半个世纪里,这一领域已经成为一个活跃的,肥沃的, 数学的一个繁荣的分支。图是一个网络, 线(“边缘”)连接点(“顶点”),因此语言的 图表成为描述相互关系的自然方式 分离的物体之间。 图论是最重要的 作为通信理论和计算机的重要工具, 科学
英文摘要
Professor Zhang will study the double cover conjecture together with related problems. These include cycle cover problems and the integer flow problems for families of graphs containing no subdivisions of the Peterson Graph. Graph Theory go back perhaps two hundred years, but only in the last half-century has the field become an active, fertile, and flourishing branch of mathematics. A graph is a network of lines ("edges") joining points ("vertices"), thus the language of graphs becomes a natural way of describing interrelationships among separated objects. Graph Theory figures most prominently as an essential tool in Communications Theory and Computer Science.
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会议论文
Integer flows, circular flow indices and modulo orientations
Integer Flows and Tutte Orientations
Mathematical Sciences: Circuit Covers and Integer Flows - Research in Graph Theory
Mathematical Sciences: Cycles and Paths in Graphs---Researchin Graph Theory
国内基金
海外基金
Handbook of the Mathematics of the Arts and Sciences的中文翻译
  • 批准号:
    12226504
  • 项目类别:
    数学天元基金项目
  • 资助金额:
    20.0万元
  • 批准年份:
    2022
  • 负责人:
    黄朝凌
  • 依托单位:
SCIENCE CHINA: Earth Sciences
Journal of Environmental Sciences
SCIENCE CHINA Information Sciences