Noun
/tɛtrəˈhɛdrəl ɡræf/
A tetrahedral graph is a specific type of graph derived from a tetrahedron, which is a three-dimensional geometric figure with four triangular faces, six edges, and four vertices. In graph theory, a tetrahedral graph consists of the connections (edges) between the vertices of a tetrahedron.
In a tetrahedral graph, each vertex is connected to every other vertex, making it a complete graph with four vertices, also denoted as K₄. This type of graph is often used in computer science, mathematics, and various applications involving network analysis.
The frequency of use for the term “tetrahedral graph” is more common in academic and scientific contexts, particularly in mathematics and graph theory literature.
The tetrahedral graph model can be used to visualize the relationships between the four vertices in a tetrahedron.
Модель тетраэдрального графа может быть использована для визуализации отношений между четырьмя вершинами в тетраэдре.
Researchers found that the tetrahedral graph provides useful insights into network connectivity.
Исследователи обнаружили, что тетраэдральный граф предоставляет полезные сведения о сетевой связности.
In computer science, the tetrahedral graph serves as a fundamental structure for certain algorithms.
В компьютерных науках тетраэдральный граф служит основной структурой для некоторых алгоритмов.
The term "tetrahedral graph" itself is not commonly found in idiomatic expressions, given its specialized nature in mathematics and graph theory. However, I can provide examples of other concepts related to graphs and networks.
"Connecting the dots" – Understanding the tetrahedral graph helps in connecting the dots in complex spatial problems.
Понимание тетраэдрального графа помогает связать точки в сложных пространственных задачах.
"Breaking down barriers" – The tetrahedral graph illustrates how breaking down barriers between nodes can enhance communication in a network.
Тетраэдральный граф иллюстрирует, как разрыв барьеров между узлами может улучшить связь в сети.
"The bigger picture" – By analyzing the tetrahedral graph, one can gain a better understanding of the bigger picture in network topology.
Анализируя тетраэдральный граф, можно лучше понять общую картину в топологии сети.
The word "tetrahedral" derives from the Greek words "tetra," meaning four, and "hedron," meaning face or base. The term "graph" comes from the Greek "graphien," which means to write or draw, and is used in the context of mathematical graphs that represent information visually.
Synonyms: - Complete graph (specifically in reference to K₄) - Four-node complete graph
Antonyms: - Incomplete graph (in the context of graphs that do not connect all vertices) - Disconnected graph (where at least one vertex is not connected to the others)
This structure provides a comprehensive understanding of the term "tetrahedral graph," including its meaning, usage, example sentences, idiomatic expressions (related), etymology, and synonym-antonym pairs.