Finding a Nonempty Algebraic Subset of an Edge Set in Linear Time
نویسنده
چکیده
A set of edges of a hypergraph H is an algebraic set if its characteristic vector can be expressed as a linear combination of rows of the (node-edge) incidence matrix of H. Recently it was proven that deciding whether or not a given edge-set of H contains a non-empty algebraic set is an NP complete problem. In this paper we give a linear time algorithm to decide if a given edge-set contains a non-empty algebraic set when the hypergraph is a graph. Article Type Communicated by Submitted Revised Regular paper L. Arge November 2005 January 2007 M. Mezzini, Nonempty Algebraic Subsets, JGAA, 11(1) 239–257 (2007) 240
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ورودعنوان ژورنال:
- J. Graph Algorithms Appl.
دوره 11 شماره
صفحات -
تاریخ انتشار 2007