Generating connected and 2-edge connected graphs
نویسنده
چکیده
We focus on the algorithm underlying the main result of [6]. This is an algebraic formula to generate all connected graphs in a recursive and efficient manner. The key feature is that each graph carries a scalar factor given by the inverse of the order of its group of automorphisms. In the present paper, we revise that algorithm on the level of graphs. Moreover, we extend the result subsequently to further classes of connected graphs, namely, 2-edge connected, simple and loopless graphs. Our method consists of basic graph transformations only. Submitted: December 2007 Reviewed: October 2008 Revised: January 2009 Accepted: August 2009 Final: September 2009 Published: October 2009 Article type: Regular paper Communicated by: U. Brandes Research supported in part by the Czech Ministry of Education, Youth and Sports within the project LC06002. E-mail address: [email protected] (Ângela Mestre) 252 Mestre Generating connected and 2-edge connected graphs
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ورودعنوان ژورنال:
- J. Graph Algorithms Appl.
دوره 13 شماره
صفحات -
تاریخ انتشار 2009