Graphs whose endomorphism monoids are regular

DOI10.1016/j.disc.2007.07.094zbMath1160.05030OpenAlexW2037293485MaRDI QIDQ932642

Yan-Feng Luo, Hai-long Hou

Publication date: 11 July 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.07.094

zbMATH Keywords

regularendomorphism monoidsjoin of graphslexicographic product of graphsend regular graphsorthodox graphs

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25)

Related Items (14)

Unicyclic graphs with regular endomorphism monoids ⋮ On the Endomorphism Monoid of K(n,3) ⋮ End-regular and End-orthodox generalized lexicographic products of bipartite graphs ⋮ Semigroup theory of symmetry ⋮ End-regular and End-orthodox lexicographic products of bipartite graphs ⋮ Split graphs whose half-strong endomorphisms form a monoid ⋮ The join of split graphs whose half-strong endomorphisms form a monoid ⋮ The Join of Split Graphs Whose Regular Endomorphisms Form a Monoid ⋮ THE JOIN OF SPLIT GRAPHS WHOSE QUASI-STRONG ENDOMORPHISMS FORM A MONOID ⋮ Unnamed Item ⋮ Trees whose regular endomorphisms form a monoid ⋮ Naturally ordered strong endomorphisms on graphs ⋮ End-regularity of generalized bicycle graph ⋮ End-regularity of zero-divisor graphs of group rings

Cites Work

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• Problems raised at the Problem Session of the Colloquium on Semigroups in Szeged, August 1987
• On End-regular graphs
• Endomorphisms of graphs. I: The monoid of strong endomorphisms
• Endomorphisms of graphs. II: Various unretractive graphs
• On the regularity of semidirect products
• Graphs with regular monoids
• Graphs with a regular endomorphism monoid
• A regular endomorphism of a graph and its inverses
• Endomorphism-regularity of split graphs

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