On the automorphism groups of vertex-transitive Cayley digraphs of monoids

DOI10.1007/s10801-019-00927-1zbMath1464.05180OpenAlexW3008653594MaRDI QIDQ2025154

Behnam Khosravi, Behrooz Khosravi, Bahman Khosravi

Publication date: 11 May 2021

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

Full work available at URL: https://doi.org/10.1007/s10801-019-00927-1

zbMATH Keywords

closure operatorsdigraphical regular representationnormal Cayley digraphs

Mathematics Subject Classification ID

Finite automorphism groups of algebraic, geometric, or combinatorial structures (20B25) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Directed graphs (digraphs), tournaments (05C20) Graph representations (geometric and intersection representations, etc.) (05C62) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (4)

Cayley graphs of groupoids and generalized fat-trees ⋮ On two-sided Cayley graphs of semigroups and groups ⋮ Beyond symmetry in generalized Petersen graphs ⋮ On the large rank of certain semigroups of transformations on a finite chain

Cites Work

• On color-automorphism vertex transitivity of semigroups
• The large rank of a finite semigroup using prime subsets.
• Distance labellings of Cayley graphs of semigroups
• On Cayley graphs of rectangular groups
• Cayley graphs as classifiers for data mining: the influence of asymmetries
• On transitive Cayley graphs of strong semilattices of right (left) groups
• On the automorphism groups of almost all Cayley graphs
• On the full automorphism group of a graph
• Automorphism groups and isomorphisms of Cayley digraphs
• Maximum genus, girth and connectivity
• The endomorphism monoids and automorphism groups of Cayley graphs of semigroups
• Cayley graphs on abelian groups
• On the Cayley graphs of completely simple semigroups
• An answer to a question of Kelarev and Praeger on Cayley graphs of semigroups.
• On transitive Cayley graphs of groups and semigroups
• On Cayley graphs of semilattices of semigroups.
• Monoids, acts and categories. With applications to wreath products and graphs. A handbook for students and researchers
• Characterizations of Clifford semigroup digraphs
• On the Cayley \(\mathcal D\)-saturated property of semigroups.
• On colour-preserving automorphisms of Cayley graphs
• When is the cayley graph of a semigroup isomorphic to the cayley graph of a group
• A classification of vertex-transitive Cayley digraphs of strong semilattices of completely simple semigroups
• On the ranks of certain finite semigroups of transformations
• COMBINATORIAL PROPERTIES AND HOMOMORPHISMS OF SEMIGROUPS
• Graphs and ranks of monoids
• Rank properties in finite semigroups¹
• Finite normal edge-transitive Cayley graphs
• On Combinatorial Properties of Bands
• Algebraic graph theory. Morphisms, monoids and matrices
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the automorphism groups of vertex-transitive Cayley digraphs of monoids