Even subgraph: Noun phrase
/ˈiːvən ˈsʌbɡræf/
An even subgraph refers to a specific type of subgraph in graph theory, a branch of mathematics. A subgraph is called "even" if all of its vertices have an even degree. In simple terms, each vertex connected to an even number of edges qualifies the subgraph as even. This concept is particularly useful in the study of structures in graphs and has applications in various fields including computer science, network theory, and combinatorial designs.
The term is primarily used in written contexts, particularly in academic papers, textbooks, and research articles focusing on graph theory. It is less likely to be encountered in casual, oral speech.
Исследователи проанализировали свойства четкого подграфа, чтобы понять его структурную целостность.
By identifying the even subgraph, the mathematicians were able to simplify their calculations.
Определяя четкий подграф, математики смогли упростить свои вычисления.
In their study, they discovered that every connected graph contains an even subgraph.
While the term "even subgraph" is very technical and doesn't have widespread idiomatic expressions associated with it, phrases involving "even" do exist in English.
Translation: "После долгого сезона им наконец-то удалось сравнять счет с соперниками."
"Fair and even"
Translation: "Судья убедился, что соревнование было честным и равным для всех участников."
"Even-handed"
The term "even" comes from the Old English efen, meaning "level, equal," while "subgraph" is derived from the combination of "sub-" (meaning "below" or "under") and "graph" from Greek grapho, meaning "to write." In graph theory, it indicates a structure that is subordinate or derived from a larger graph, maintaining specific properties, such as the even degree of vertices.
The term "even subgraph" is specific to a mathematical context, and thus antonyms tend to also relate to graph terminology and structures.