On the automorphism group of doubled Grassmann graphs

DOI10.1007/s12044-020-00595-3zbMath1462.05360OpenAlexW3099149795MaRDI QIDQ2024719

Meysam Ziaee

Publication date: 4 May 2021

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-020-00595-3

zbMATH Keywords

automorphism groupGrassmann graphdoubled Grassmann graph

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Group actions on combinatorial structures (05E18)

Cites Work

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• Characterization of projective incidence structures
• Automorphisms and regular embeddings of merged Johnson graphs
• A characterization of the doubled Grassmann graphs, the doubled Odd graphs, and the Odd graphs by strongly closed subgraphs
• The automorphism group of the bipartite Kneser graph
• Johnson graphs are Hamilton-connected
• Bipartite Kneser graphs are Hamiltonian

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