V2EX graph theory

Graph Theory

定义 Definition

图论:数学与计算机科学的一个分支,研究“图”(由顶点/节点组成的结构)及其性质,用来刻画与分析连接关系,如社交网络、交通路线、通信网络、电路与任务依赖等。(也常用于算法设计与复杂系统建模。)

例句 Examples

Graph theory helps us model social networks and find influential people.
图论帮助我们对社交网络建模并找出有影响力的人。

In computer science, graph theory underpins algorithms for routing, scheduling, and analyzing large-scale networks.
在计算机科学中,图论支撑着用于路径规划、任务调度以及大规模网络分析的算法。

发音 Pronunciation

/rf θiri/

词源 Etymology

graph”来自希腊语 graphein,意为“书写、描画”,后用于指代用点和线“画出来”的结构;“theory”来自希腊语 theōria,意为“观察、思考”。合起来,“graph theory”即“关于图的理论”。现代图论常被追溯到欧拉(Euler)对“哥尼斯堡七桥问题”的研究(18世纪),被认为是该领域的奠基性工作之一。

相关词 Related Words

文学与经典著作 Literary Works

  • Reinhard Diestel,《Graph Theory》经典教材与参考书,系统覆盖现代图论核心概念。
  • J. A. Bondy & U. S. R. Murty,《Graph Theory》以严谨而广泛的选题著称的图论名著。
  • Douglas B. West,《Introduction to Graph Theory》入门与教学常用教材,例题丰富。
  • ystein Ore,《Theory of Graphs》早期重要专著之一,对图论的形成与传播有影响。
  • Leonhard Euler,论文《Solutio problematis ad geometriam situs pertinentis》(1736)通过“七桥问题”引出图论思想的奠基性文献。
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