Geodesic
Ordering signed graphs with large index
Ars Mathematica Contemporanea, Tome 22 (2022) no. 4, article no. 05, 14 p.

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The index of a signed graph is the largest eigenvalue of its adjacency matrix. We establish the first few signed graphs ordered decreasingly by the index in classes of connected signed graphs, connected unbalanced signed graphs and complete signed graphs with a fixed number of vertices.
DOI : 10.26493/1855-3974.2714.9b3
Keywords: Adjacency matrix, largest eigenvalue, edge relocation, unbalanced signed graph, complete signed graph 
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Maurizio Brunetti; Zoran Stanić. Ordering signed graphs with large index. Ars Mathematica Contemporanea, Tome 22 (2022) no. 4, article  no. 05, 14 p. doi : 10.26493/1855-3974.2714.9b3. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.2714.9b3/

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