- Tytuł:
- 2-Distance Colorings of Integer Distance Graphs
- Autorzy:
-
Benmedjdoub, Brahim
Bouchemakh, Isma
Sopena, Éric - Powiązania:
- https://bibliotekanauki.pl/articles/31343379.pdf
- Data publikacji:
- 2019-05-01
- Wydawca:
- Uniwersytet Zielonogórski. Wydział Matematyki, Informatyki i Ekonometrii
- Tematy:
-
2-distance coloring
integer distance graph - Opis:
- A 2-distance k-coloring of a graph G is a mapping from V (G) to the set of colors {1,. . ., k} such that every two vertices at distance at most 2 receive distinct colors. The 2-distance chromatic number χ2(G) of G is then the smallest k for which G admits a 2-distance k-coloring. For any finite set of positive integers D = {d1, . . ., dℓ}, the integer distance graph G = G(D) is the infinite graph defined by V (G) = ℤ and uv ∈ E(G) if and only if |v − u| ∈ D. We study the 2-distance chromatic number of integer distance graphs for several types of sets D. In each case, we provide exact values or upper bounds on this parameter and characterize those graphs G(D) with χ2(G(D)) = ∆(G(D)) + 1.
- Źródło:
-
Discussiones Mathematicae Graph Theory; 2019, 39, 2; 589-603
2083-5892 - Pojawia się w:
- Discussiones Mathematicae Graph Theory
- Dostawca treści:
- Biblioteka Nauki
Artykuł