Monochromatic kernel-perfectness of special classes of digraphs

• Autorzy: Hortensia Galeana-Sánchez , Luis Alberto Jiménez Ramírez
• Języki publikacji: EN

Abstrakty

EN

In this paper, we introduce the concept of monochromatic kernel-perfect digraph, and we prove the following two results:
(1) If D is a digraph without monochromatic directed cycles, then D and each $α_v,v ∈ V(D)$ are monochromatic kernel-perfect digraphs if and only if the composition over D of $(α_v)_{v ∈ V(D)}$ is a monochromatic kernel-perfect digraph.
(2) D is a monochromatic kernel-perfect digraph if and only if for any B ⊆ V(D), the duplication of D over B, $D^B$, is a monochromatic kernel-perfect digraph.

Słowa kluczowe

EN

kernel; kernel by monochromatic paths; composition; duplication

Kategorie tematyczne

• 05C20: Directed graphs (digraphs), tournaments

• Wydawca: De Gruyter Open
• Czasopismo: Discussiones Mathematicae Graph Theory
• Rocznik: 2007
• Tom: 27
• Numer: 3
• Strony: 389-400

Daty

wydano

2007

otrzymano

2006-01-17

poprawiono

2007-06-11

zaakceptowano

2007-06-11

Twórcy

autor

Hortensia Galeana-Sánchez

• Instituto de Matemáticas, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, D.F. 04510, México

autor

Luis Alberto Jiménez Ramírez

• Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad Universitaria, México, D.F. 04510, México

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1369