Edge connectivity in difference graphs and some new constructions of partial sum families

DOI10.1016/J.EJC.2010.10.012zbMath1210.05071OpenAlexW2021485723MaRDI QIDQ627921

Juan-Miguel Gracia

Publication date: 4 March 2011

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

Full work available at URL: https://doi.org/10.1016/j.ejc.2010.10.012

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40)

Related Items (8)

Cyclotomic association schemes of broad classes and applications to the construction of combinatorial structures ⋮ New partial geometric difference sets and partial geometric difference families ⋮ Trivalent vertex-transitive bi-dihedrants ⋮ The automorphisms of bi-Cayley graphs ⋮ Partial sum quadruples and bi-abelian digraphs ⋮ Cubic bi-Cayley graphs over abelian groups ⋮ Two kinds of constructions of directed strongly regular graphs ⋮ Equisizable partial sum families

Cites Work

• New tools for the construction of directed strongly regular graphs: difference digraphs and partial sum families
• Symmetry structure of bicirculants
• Some implications on amorphic association schemes
• Cyclotomy over products of finite fields and combinatorial applications
• Strongly regular tri-Cayley graphs
• A directed graph version of strongly regular graphs
• Uniform cyclotomy
• Strongly regular semi-Cayley graphs
• Cyclotomy and strongly regular graphs
• Partial difference triples
• Partial difference sets in \(p\)-groups
• Semidirect product constructions of directed strongly regular graphs
• Directed strongly regular graphs obtained from coherent algebras
• An introduction to group rings
• Small vertex-transitive directed strongly regular graphs
• Representations of directed strongly regular graphs
• Partial Difference Sets with Paley Parameters

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