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单词 hypergraph
释义

hypergraph /'haipə,gra:f/

英汉-汉英词典
n. 超图
词组 | 习惯用语
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  • xerography n. 静电复印术;静电射线透照术
  • hypertrophy n. [医]肥大;过度生长 v. 变肥大
  • hypercritical adj. (尤指对小错误)吹毛求疵的;过于苛刻的
  • hypergamy n. 与相同阶层的人结亲,与上层阶层或地位高贵的人联姻
hypergraph n. [数] 超图

网络短语:
directed acyclic hypergraph 有向无环超图
weakuniquely colorable mixed hypergraph 弱惟一染色混合超图
multiple hypergraph 多重超图
balanced hypergraph 平衡超图
unavoidable hypergraph 不可避免的超图
transverse hypergraph 横贯超图
simple hypergraph 简单超图
Primitive hypergraph 本原超图
connected hypergraph 连通超图
hypergraph embedding 超图嵌入
中文百科

超图

This circuit diagram can be interpreted as a drawing of a hypergraph in which four vertices (depicted as white rectangles and disks) are connected by three hyperedges drawn as trees.
An order-4 Venn diagram, which can be interpreted as a subdivision drawing of a hypergraph with 15 vertices (the 15 colored regions) and 4 hyperedges (the 4 ellipses).
L'hypergraphe du plan de Fano.

在数学中,超图是一种广义上的图,它的一条边可以连接任意数量的顶点。形式上,超图H是一个集合组H = (X,E),其中X是一个有限集合,该集合的元素被称为节点顶点EX的非空子集的集合,被称为超边连接。因此,E\mathcal{P}(X) \setminus\{\emptyset\}的一个子集,其中\mathcal{P}(X)X的幂集。

尽管图的边各有一对节点,而超边是节点的任意集合,因而能包含任意数量的节点。然而,通常的研究更倾向于每个超边连接的节点数相同的超图:k-均匀超图(每个超边都连接了k个节点)。因此,2-均匀超图就是图,3-均匀超图就是三元组的集合,依此类推。

英语百科

Hypergraph 超图

This circuit diagram can be interpreted as a drawing of a hypergraph in which four vertices (depicted as white rectangles and disks) are connected by three hyperedges drawn as trees.
An order-4 Venn diagram, which can be interpreted as a subdivision drawing of a hypergraph with 15 vertices (the 15 colored regions) and 4 hyperedges (the 4 ellipses).
L'hypergraphe du plan de Fano.

In mathematics, a hypergraph is a generalization of a graph in which an edge can connect any number of vertices. Formally, a hypergraph H is a pair H = (X,E) where X is a set of elements called nodes or vertices, and E is a set of non-empty subsets of X called hyperedges or edges. Therefore, E is a subset of \mathcal{P}(X) \setminus\{\emptyset\}, where \mathcal{P}(X) is the power set of X.

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更新时间:2025/6/17 20:03:21