The list injective chromatic number, denoted by χ i l ( G ) , is the least k for which G is injectively k -choosable. We focus on the study of list injective coloring on planar graphs which has disjoint 5 − -cycles and show that χ i l ( G ) ≤ Δ + 3 if Δ ≥ 18 and χ i l ( G ) ≤ Δ + 4 if Δ ≥ 12 .
Feb 12, 2021
Feb 15, 2023 · An injective coloring is a vertex coloring (not necessarily proper) such that any two vertices sharing a common neighbor receive distinct ...
Jul 1, 2022 · The coloring c is called injective if any two vertices have a common neighbor get distinct colors. A graph G is injectively k-choosable if for ...
Injective graph colorings have been studied from multiple perspectives, such as chromatic numbers, locally injective homomorphisms, and related solvability and ...
Feb 15, 2023 · An injective coloring is a vertex coloring (not necessarily proper) such that any two vertices sharing a common neighbor receive distinct ...
May 16, 2022 · We prove that planar graphs with maximum degree \Delta = 4 and girth at least 4 are 2-distance list (\Delta + 7)-colorable and injectively list ...
May 18, 2022 · A coloring of a graph G is injective if its restriction to the neighbour of any vertex is injective. The injective chromatic number χi(G) of ...
An injective coloring is a vertex coloring (not necessarily proper) such that any two vertices sharing a common neighbor receive distinct colors. A graph G ...
An injective coloring of a graph is a vertex coloring where two vertices have distinct colors if a path of length two exists between them. In this paper some ...
List injective coloring of planar graphs with disjoint 5−-cycles
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An injective k k -coloring of a graph G G is called injective if any two vertices joined by a path of length two get different colors.