Path Based Development Of Connectivity Algorithms
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Abstract
This paper presents notions of 1- and 2-connectivity. It starts with 1-connectivity of directed graphs, and it then examines 2-connectivity of undirected graphs. Depth-first search is the method of choice to calculate low order connectivity information. The algorithms which are designed for connectivity properties are originally due to Tarjan [1]. This paper follows the path-based development of [2], which simplifies the algorithms to eliminate the depth-first spanning tree.