IJEME Vol. 2, No. 1, 8 Jan. 2012
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Spanning tree, bridge, edge-connected graph, DFS (depth-first search), back edge
In this paper a simple method is proposed to determine whether a graph is edge-connected. This method may calculate the minimum pre-order number of each vertex by back edge for the depth-first search spanning tree, and then find out the bridges in the graph. Finally, it may determine whether the graph is edge-connected. The best nature of method is to understand and hold the algorithm easily. It can help teaching improvement and practice application. It is also worth popularization.
Cui-xia XU,"Application of DFS in the Study of Edge-connected Graph", IJEME, vol.2, no.1, pp.9-15, 2012. DOI: 10.5815/ijeme.2012.01.02
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