Smith's theorem and a characterization of the 6-cube as distance-transitive graph

DOI10.1007/s10801-006-0016-5zbMath1099.05081OpenAlexW2029647941MaRDI QIDQ2504996

Jonathan I. Hall, Monther Rashed Alfuraidan

Publication date: 28 September 2006

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

Full work available at URL: https://doi.org/10.1007/s10801-006-0016-5

zbMATH Keywords

Imprimitive distance-regular graphImprimitive distance-transitive graph

Mathematics Subject Classification ID

Association schemes, strongly regular graphs (05E30)

Related Items (8)

Bipartite distance-transitive doubles with primitive halved of diameter two ⋮ Antipodal distance-transitive covers with primitive quotient of diameter two ⋮ Getting the Lay of the Land in Discrete Space: A Survey of Metric Dimension and Its Applications ⋮ Locally finite homogeneous graphs ⋮ On the metric dimension of incidence graphs ⋮ On the metric dimension of imprimitive distance-regular graphs ⋮ Imprimitive distance-transitive graphs with primitive core of diameter at least 3 ⋮ Locally s-distance transitive graphs

Cites Work

• Imprimitive distance-transitive graphs with primitive core of diameter at least 3
• Classification of 2-transitive symmetric designs
• Distance-regular graphs and halved graphs
• Antipodal distance transitive covers of complete graphs
• The Affine Permutation Groups of Rank Three
• PRIMITIVE AND IMPRIMITIVE GRAPHS
• Antipodal distance-transitive covers of complete bipartite graphs
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