Consistency in the Naturally Vertex-Signed Line Graph of a Signed Graph
نویسنده
چکیده
A signed graph is a graph whose edges are signed. In a vertex-signed graph the vertices are signed. The latter is called consistent if the product of signs in every circle is positive. The line graph of a signed graph is naturally vertexsigned. Based on a characterization by Acharya, Acharya, and Sinha in 2009, we give constructions for the signed simple graphs whose naturally vertex-signed line graph is consistent. Mathematics Subject Classification (2010): Primary 05C22; Secondary 05C75.
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