BFS and DFS are two ways of exploring a graph, starting from a given node and following the edges to reach other nodes. BFS visits the nodes in order of their distance from the starting node ...

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Both algorithms assume that the depth-first search (DFS) spanning tree (DFST) of the graph is given. The output is given in a distributed manner as a state of variables in the nodes. Published in: ...

A shorter direct proof of that result was obtained by Geelen, Gerards, and Whittle [GGW00p]. However, to prove Theorem 7.0.1, the well-quasi-ordering for graphs of bounded tree-width is needed only ...