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.
Ordering signed graphs with large index / Brunetti, M; Stanic, Z. - In: ARS MATHEMATICA CONTEMPORANEA. - ISSN 1855-3966. - 22:4(2022). [10.26493/1855-3974.2714.9b3]
Ordering signed graphs with large index
Brunetti M;
2022
Abstract
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.File in questo prodotto:
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