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Y-Δ transform
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==Graph theory== In [[graph theory]], the Y-Δ transform means replacing a Y [[Glossary of graph theory#Subgraphs|subgraph]] of a graph with the equivalent Δ subgraph. The transform preserves the number of edges in a graph, but not the number of vertices or the number of [[cycle (graph theory)|cycle]]s. Two graphs are said to be '''Y-Δ equivalent''' if one can be obtained from the other by a series of Y-Δ transforms in either direction. For example, the [[Petersen family]] is a Y-Δ [[equivalence class]].
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