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транзитивный - translation to English
ГРАФ G ТАКОЙ, ЧТО ДЛЯ ЛЮБЫХ ДВУХ РЁБЕР E1 И E2 ГРАФА G, СУЩЕСТВУЕТ АВТОМОРФИЗМ ГРАФА G, КОТОРЫЙ ОТОБРАЖАЕТ E1 В E2
Реберно-транзитивный граф
транзитивный
adj.
transitive
transitive
transitively
![In the [[compound of five tetrahedra]], the symmetry group is the (rotational) icosahedral group ''I'' of order 60, while the stabilizer of a single chosen tetrahedron is the (rotational) [[tetrahedral group]] ''T'' of order 12, and the orbit space ''I''/''T'' (of order 60/12 = 5) is naturally identified with the 5 tetrahedra – the coset ''gT'' corresponds to the tetrahedron to which ''g'' sends the chosen tetrahedron.](https://commons.wikimedia.org/wiki/Special:FilePath/Compound of five tetrahedra.png?width=200 "In the [[compound of five tetrahedra]], the symmetry group is the (rotational) icosahedral group ''I'' of order 60, while the stabilizer of a single chosen tetrahedron is the (rotational) [[tetrahedral group]] ''T'' of order 12, and the orbit space ''I''/''T'' (of order 60/12 = 5) is naturally identified with the 5 tetrahedra – the coset ''gT'' corresponds to the tetrahedron to which ''g'' sends the chosen tetrahedron.")
![The [[cyclic group]] ''C''<sub>3</sub> consisting of the rotations by 0°, 120° and 240° acts on the set of the three vertices.](https://commons.wikimedia.org/wiki/Special:FilePath/Group action on equilateral triangle.svg?width=200 "The [[cyclic group]] ''C''<sub>3</sub> consisting of the rotations by 0°, 120° and 240° acts on the set of the three vertices.")
OPERATION OF THE ELEMENTS OF A GROUP AS TRANSFORMATIONS OR AUTOMORPHISMS (MATHEMATICS)
Group transformation; Group of transformation; Orbit-stabilizer theorem; Orbit (group theory); Stabilizer subgroup; Properly discontinuous action; Orbit-stabilizer formula; Group actions; Transitive (group action); Left action; Free regular set; Stabilizer (group theory); Properly discontinuously; Freely discontinuous; Nice neighborhood; G-set; Isotropy group; Isotropy subgroup; Action (group theory); Transitively; Orbit space; Simply transitive; Free action; Regular group action; Sharply multiply transitive; Transitive action; Groups acting on sets; Transitive group; Transitive group action; Faithful Group Action; Faithful group action; Group Orbit; Group orbit; Orbit-stabiliser theorem; Discontinuous action; Little group; Proper action; Action of a group; Free transitive action; Group Action; Orbit stabiliser theorem; Orbit-Stabiliser theorem; Orbit-Stabilizer theorem; Little Group; Properly discontinuous; Simply transitively; Orbit stabilizer theorem; Symmetry orbit; Point stabilizer; Trivial action; G-invariant; Coinvariant; Acts transitively; Quotient by a group action; Faithful action; Acts faithfully; Free group action; Effective group action; Orbit-stabiliser thm; Orbit-stabilser thm; N-transitive; Discrete action; Primitive action; Proper group action; Group action (mathematics); Left group action; Right group action; Orbit equivalence relation
общая лексика
транзитивно
sharply transitive
математика
остро транзитивный
Definition
ТРАНЗИТИВНЫЙ
ая, ое, вен, вна, лингв.
Оглаголе: переходный способный иметь при себе прямое дополнение. Транзитивность - категория, объединяющая в себе свойства, присущие транзитивным глаголам.
Wikipedia
Рёберно-транзитивный граф
В теории графов рёберно-транзитивным (англ. edge-transitive) называется такой граф G , для двух любых рёбер которого e1 и e2 существует автоморфизм, отображающий e1 в e2.
Другими словами, граф рёберно-транзитивен, если его группа автоморфизма действует транзитивно на его рёбрах.
