Sum List Coloring Block Graphs
نویسندگان
چکیده
منابع مشابه
Sum List Coloring Block Graphs
A graph is f -choosable if for every collection of lists with list sizes specified by f there is a proper coloring using colors from the lists. We characterize f -choosable functions for block graphs (graphs in which each block is a clique, including trees and line graphs of trees). The sum choice number is the minimum over all choosable functions f of the sum of the sizes in f . The sum choice...
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Let G = (V,E) be a graph and let f be a function that assigns list sizes to the vertices of G. It is said that G is f -choosable if for every assignment of lists of colors to the vertices of G for which the list sizes agree with f , there exists a proper coloring of G from the lists. The sum choice number is the minimum of the sum of list sizes for f over all choosable functions f for G. The su...
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A graph G is equitably k-choosable if, for any k-uniform list assignment L, G admits a proper coloring π such that π(v) ∈ L(v) for all v ∈ V (G) and each color appears on at most |G|/k vertices. It was conjectured in [8] that every graph G with maximum degree ∆ is equitably k-choosable whenever k ≥ ∆ + 1. We prove the conjecture for the following cases: (i) ∆ ≤ 3; (ii) k ≥ (∆ − 1). Moreover, eq...
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ژورنال
عنوان ژورنال: Graphs and Combinatorics
سال: 2004
ISSN: 0911-0119,1435-5914
DOI: 10.1007/s00373-004-0564-1