- Tytuł:
- On graphs with a unique minimum hull set
- Autorzy:
-
Chartrand, Gary
Zhang, Ping - Powiązania:
- https://bibliotekanauki.pl/articles/743417.pdf
- Data publikacji:
- 2001
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
geodetic set
geodetic number
convex hull
hull set
hull number
hull graph - Opis:
- We show that for every integer k ≥ 2 and every k graphs G₁,G₂,...,Gₖ, there exists a hull graph with k hull vertices v₁,v₂,...,vₖ such that link $L(v_i) = G_i$ for 1 ≤ i ≤ k. Moreover, every pair a, b of integers with 2 ≤ a ≤ b is realizable as the hull number and geodetic number (or upper geodetic number) of a hull graph. We also show that every pair a,b of integers with a ≥ 2 and b ≥ 0 is realizable as the hull number and forcing geodetic number of a hull graph.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2001, 21, 1; 31-42
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł