Definition:Boundary (Graph Theory)
This page is about the boundary of a vertex in the context of Graph Theory. For other uses, see Boundary.
other types of graph
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Definition
Simple Graph
Let $G = \tuple {V, E}$ be a simple graph.
Let $v \in V$ be a vertex of $G$.
Then the boundary of $v$ is the set of all vertices of $G$ which are adjacent to $v$:
- $\map B v = \set {u \in V: \set {u, v} \in E}$
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