Linear and 2-Frugal Choosability of Graphs of Small Maximum Average Degree
نویسندگان
چکیده
منابع مشابه
Linear and 2-Frugal Choosability of Graphs of Small Maximum Average Degree
A proper vertex colouring of a graph G is 2-frugal (resp. linear) if the graph induced by the vertices of any two colour classes is of maximum degree 2 (resp. is a forest of paths). A graph G is 2-frugally (resp. linearly) L-colourable if for a given list assignment L : V (G) → 2, there exists a 2-frugal (resp. linear) colouring c of G such that c(v) ∈ L(v) for all v ∈ V (G). If G is 2-frugally...
متن کاملk-forested choosability of graphs with bounded maximum average degree
A proper vertex coloring of a simple graph is $k$-forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than $k$. A graph is $k$-forested $q$-choosable if for a given list of $q$ colors associated with each vertex $v$, there exists a $k$-forested coloring of $G$ such that each vertex receives a color from its own list. In this paper, we prov...
متن کاملk-forested choosability of graphs with bounded maximum average degree
a proper vertex coloring of a simple graph is $k$-forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than $k$. a graph is $k$-forested $q$-choosable if for a given list of $q$ colors associated with each vertex $v$, there exists a $k$-forested coloring of $g$ such that each vertex receives a color from its own list. in this paper, we prov...
متن کاملImproper choosability of graphs and maximum average degree
Improper choosability of planar graphs has been widely studied. In particular, Škrekovski investigated the smallest integer gk such that every planar graph of girth at least gk is k-improper 2-choosable. He proved [9] that 6 ≤ g1 ≤ 9; 5 ≤ g2 ≤ 7; 5 ≤ g3 ≤ 6 and ∀k ≥ 4, gk = 5. In this paper, we study the greatest real M(k, l) such that every graph of maximum average degree less than M(k, l) is ...
متن کاملK-forested Choosability of Graphs with Bounded Maximum Average Degree
A proper vertex coloring of a simple graph is k-forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than k. A graph is k-forested qchoosable if for a given list of q colors associated with each vertex v, there exists a k-forested coloring of G such that each vertex receives a color from its own list. In this paper, we prove that the k-fore...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Graphs and Combinatorics
سال: 2011
ISSN: 0911-0119,1435-5914
DOI: 10.1007/s00373-010-1009-7