Q. Explain various graph traversal schemes and write their advantages and disadvantages.
Graph Traversal Scheme is explained below
In many troubles we wish to investigate the total vertices in a graph in some systematic order. In graph we frequently do not have any one vertex singled out as special and therefore the traversal may begin at an arbitrary vertex. The two famous methods or techniques for traversing are:-
a) Depth first traversal is explained below: The breadth traversal of a graph is roughly analogous to pre-order traversal of an ordered tree. Assume that the traversal has just visited a vertex or, and let W0, W1,......Wk be the vertices near to V. Then we shall next visit W0 and keep W1.....Wk waiting. After visiting W0 we traverse all the vertices to which it is near before returning to traverse W1, W2, ........Wk.
b) Breadth first traversal: of a graph is around analogous to level by level traversal of ordered tree. If the traversal has just visited a vertex V, then it next visits all the vertices adjoining to V. Putting the vertices adjoining to these is a waiting list to be traversed after all the vertices adjoining to V have been visited. The figure below shows the order of visiting the vertices of one graph under both DFS and BFS.
DFT = 1 2 3 4 5 6 7 8 9
BFT= 1 2 9 3 5 6 4 7 8