On universal graphs for hom-properties

• Autorzy: Peter Mihók , Jozef Miškuf , Gabriel Semanišin
• Języki publikacji: EN

Abstrakty

EN

A graph property is any isomorphism closed class of simple graphs. For a simple finite graph H, let → H denote the class of all simple countable graphs that admit homomorphisms to H, such classes of graphs are called hom-properties. Given a graph property 𝓟, a graph G ∈ 𝓟 is universal in 𝓟 if each member of 𝓟 is isomorphic to an induced subgraph of G. In particular, we consider universal graphs in → H and we give a new proof of the existence of a universal graph in → H, for any finite graph H.

Słowa kluczowe

EN

universal graph; weakly universal graph; hom-property; core

Kategorie tematyczne

• 05C15: Coloring of graphs and hypergraphs
• 05C75: Structural characterization of families of graphs

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2009
• Tom: 29
• Numer: 2
• Strony: 401-409

Daty

wydano

2009

otrzymano

2008-01-20

poprawiono

2009-07-08

zaakceptowano

2009-07-08

Twórcy

autor

Peter Mihók

• Department of Applied Mathematics, Faculty of Economics, Technical University, B. Nĕmcovej, 040 01 Košice, Slovak Republic
• Mathematical Institute, Slovak Academy of Science, Gresákova 6, 040 01 Košice, Slovak Republic

autor

Jozef Miškuf

• Institute of Mathematics, Faculty of Science, P.J. Šafárik University, Jesenná 5, 041 54 Košice, Slovak Republic

autor

Gabriel Semanišin

• Institute of Computer Science, Faculty of Science, P.J. Šafárik University, Jesenná 5, 041 54 Košice, Slovak Republic

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1455