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split graph - translation to russian
математика
расщепленный граф
.jpg?width=200 "A sack of split peas")
[split'pi:z]
общая лексика
лущёный горох
Wikipedia
In graph theory, a branch of mathematics, a split graph is a graph in which the vertices can be partitioned into a clique and an independent set. Split graphs were first studied by Földes and Hammer (1977a, 1977b), and independently introduced by Tyshkevich and Chernyak (1979).
A split graph may have more than one partition into a clique and an independent set; for instance, the path a–b–c is a split graph, the vertices of which can be partitioned in three different ways:
- the clique {a, b} and the independent set {c}
- the clique {b, c} and the independent set {a}
- the clique {b} and the independent set {a, c}
Split graphs can be characterized in terms of their forbidden induced subgraphs: a graph is split if and only if no induced subgraph is a cycle on four or five vertices, or a pair of disjoint edges (the complement of a 4-cycle).
