From Schur Rings to Constructive and Analytical Enumeration of Circulant Graphs with Prime-Cubed Number of Vertices

DOI10.1007/978-3-030-32808-5_2zbMath1436.05044arXiv1512.07744OpenAlexW2999136978MaRDI QIDQ3296724

Valery A. Liskovets, Josef Lauri, Victoria Gatt, Mikhail H. Klin

Publication date: 1 July 2020

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07744

zbMATH Keywords

combinatorial identitycyclic groupmultiplierself-complementary graphscirculant graphgraph isomorphism\(S\)-ringconstructive enumerationenumeration under group actionPólya's method

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Group rings of finite groups and their modules (group-theoretic aspects) (20C05)

Related Items (1)

The group \(C_p^4 \times C_q\) is a DCI-group

Uses Software

• OEIS

Cites Work

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• Some identities for enumerators of circulant graphs
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• Topics in Graph Automorphisms and Reconstruction
• A solution of the isomorphism problem for circulant graphs
• Untersuchungen von S‐Ringen, insbesondere im Gruppenring von p‐Gruppen
• Graphs with circulant adjacency matrices

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