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单词 CompleteGraph
释义

complete graph


The complete graphMathworldPlanetmath with n vertices, denoted Kn, contains all possible edges; that is, any two vertices are adjacent.

The complete graph of 4 vertices, or K4 looks like this:

The number of edges in Kn is the n-1th triangular numberMathworldPlanetmath. Every vertex in Kn has degree n-1; therefore Kn has an Euler circuit if and only if n is odd. A complete graph always has a Hamiltonian pathMathworldPlanetmath, and the chromatic numberMathworldPlanetmath of Kn is always n.

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更新时间:2025/5/5 0:47:09