Definition:Subdivision


 * Real Analysis:
 * Subdivision: a set $\set {x_0, x_1, x_2, \ldots, x_{n - 1}, x_n}$ such that $a = x_0 < x_1 < x_2 < \cdots < x_{n - 1} < x_n = b$ on a closed interval $\closedint a b$


 * Graph Theory:
 * Subdivision:
 * Edge subdivision: the deletion of an edge $\set {u, v}$ from a graph $G$ and the addition of two edges $\set {u, w}$ and $\set {w, v}$ along with the new vertex $w$.
 * Graph subdivision: a graph obtained from another by a sequence of edge subdivisions.

Also see

 * Definition:Division
 * Definition:Partition