Signed graphs represented by \(D_{\infty}\)

DOI10.1016/S0195-6698(87)80024-0zbMath0678.05058OpenAlexW2059454798MaRDI QIDQ1123912

G. R. Vijayakumar

Publication date: 1987

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0195-6698(87)80024-0

zbMATH Keywords

eigenvaluesquadratic formsfamily of sigraphsminimal forbidden sigraphs

Mathematics Subject Classification ID

Graph theory (05C99)

Related Items (15)

Characterizations of line graphs in signed and gain graphs ⋮ Star complements for \(\pm 2\) in signed graphs ⋮ Notes on the polynomial reconstruction of signed graphs ⋮ Representation of signed graphs by root system \(E_ 8\) ⋮ Signed analogue of line graphs and their smallest eigenvalues ⋮ Linear ternary codes of strongly regular signed graphs ⋮ Edge-signed graphs with smallest eigenvalue greater than \(-2\) ⋮ Graphs with least eigenvalue \(-2\): ten years on ⋮ Open problems in the spectral theory of signed graphs ⋮ On graphs with smallest eigenvalue at least \(-3\) and their lattices ⋮ Oriented gain graphs, line graphs and eigenvalues ⋮ A characterization of signed graphs represented by root system \(D_ \infty\) ⋮ Notes on exceptional signed graphs ⋮ Extremal spectral results related to spanning trees of signed complete graphs ⋮ From finite line graphs to infinite derived signed graphs

Cites Work

• Unnamed Item
• Graphs with eigenvalues at least - 2
• Line graphs, root systems, and elliptic geometry
• Characterizations of signed graphs
• Generalized line graphs
• The interchange graph of a finite graph

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