Endomorphism-regularity of split graphs

DOI10.1006/eujc.2000.0443zbMath0963.05118OpenAlexW2025488733MaRDI QIDQ5927687

Jianfei Chen, Weimin Li

Publication date: 21 June 2001

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

Full work available at URL: https://doi.org/10.1006/eujc.2000.0443

zbMATH Keywords

half strongregular monoidsplit graph

Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Regular semigroups (20M17)

Related Items (21)

The join of split graphs whose completely regular endomorphisms form a monoid ⋮ 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 endomorphism monoid of \(\overline{P_n}\). ⋮ Graphs whose endomorphism monoids are regular ⋮ On endomorphism-regularity of zero-divisor graphs ⋮ 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 ⋮ Partial automorphisms and injective partial endomorphisms of a finite undirected path ⋮ End-regularity of generalized bicycle graph ⋮ Ranks of monoids of endomorphisms of a finite undirected path ⋮ End-regularity of zero-divisor graphs of group rings ⋮ Generalized symmetry of graphs - a survey ⋮ Generalized symmetry of graphs

Cites Work

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• Problems raised at the Problem Session of the Colloquium on Semigroups in Szeged, August 1987
• Endomorphism spectra of graphs
• Parallel concepts in graph theory
• Absolute retracts of split graphs
• Tree-like \(P_4\)-connected graphs
• Endomorphisms of graphs. I: The monoid of strong endomorphisms
• Endomorphisms of graphs. II: Various unretractive graphs
• Graphs with a regular endomorphism monoid
• A regular endomorphism of a graph and its inverses

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