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BFS - properties

Hi there,
i'm trying to understand the bfs properties(last one) which is described here

can anyone explain . thanks in advance :)
Find the shortest path of even length from a source vertex s to a target vertex t in an unweighted graph: For this, we must construct an auxiliary graph, whose vertices are the state (v,c), where v - the current node, c=0 or c=1 - the current parity. Any edge (a,b) of the original graph in this new column will t<urn into two edges ((u,0),(v,1)) and ((u,1),(v,0)). After that we run a BFS to find the shortest path from the starting vertex (s,0) to the end vertex (t,0).

asked 15 Dec '18, 00:38

knakul853's gravatar image

accept rate: 20%

edited 16 Dec '18, 10:08

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question asked: 15 Dec '18, 00:38

question was seen: 77 times

last updated: 16 Dec '18, 10:08