Math & Comp Sci: Graph theory: what is an elementary subdivision?
The tutor shows the easy concept, from graph theory, of elementary subdivision.
An elementary subdivision on a graph replaces one edge by two, with a new vertex installed between them.
Consider the following two graphs:
Graph 2 is produced from Graph 1 by an elementary subdivision. First, edge DA is removed, then vertex P is added between D and A. Finally, edges DP and PA are drawn.
Elementary subdivisions are used to compare graphs for similarities.
Grimaldi, Ralph P. Discrete and Combinatorial Mathematics. Don Mills: Addison-
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