Application Areas

Perform a Breadth-First Scan 

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X Manipulate[ GraphicsRow[{HighlightGraph[g3, {1, stepedge3[[;; i]]}, GraphStyle -> "BasicBlue", GraphHighlightStyle -> "Thick"], HighlightGraph[tree3, {1, stepedge3[[;; i]]}, GraphStyle -> "BasicBlue", GraphHighlightStyle -> "Thick"]}, ImageSize -> 500], {{i, 0, "step"}, 0, 15, 1}, Initialization :> (g3 = PetersenGraph[8, 1]; {pred3, edges3} = Reap[BreadthFirstScan[g3, 1, {"FrontierEdge" -> Sow}]]; tree3 = TreeGraph[edges3[[1]]]; stepedge3 = edges3[[1]]) ]

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