Precoloring extension for 2-connected graphs with maximum degree three
نویسندگان
چکیده
منابع مشابه
Precoloring extension. I. Interval graphs
of the following general problem on vertex colorings of graphs. Suppose that some vertices of a graph G are assigned to some colors. Can this precoloring be extended to a proper coloring of G with at most k colors (for some given k)? This question was motivated by practical problems in scheduling and VLSI theory. Here we investigate its complexity status for interval graphs and for graphs wit...
متن کاملPrecoloring extension for K4-minor-free graphs
Let G = (V, E) be a graph where every vertex v ∈ V is assigned a list of available colors L(v). We say that G is list colorable for a given list assignment if we can color every vertex using its list such that adjacent vertices get different colors. If L(v) = {1, . . . , k} for all v ∈ V then a corresponding list coloring is nothing other than an ordinary k-coloring of G. Assume that W ⊆ V is a...
متن کاملPrecoloring extension on chordal graphs
In the precoloring extension problem (PrExt) we are given a graph with some of the vertices having a preassigned color and it has to be decided whether this coloring can be extended to a proper k-coloring of the graph. 1-PrExt is the special case where every color is assigned to at most one vertex in the precoloring. Answering an open question of Hujter and Tuza [HT96], we show that the 1-PrExt...
متن کاملc-Critical Graphs with Maximum Degree Three
Let G be a (simple) graph with maximum degree three and chromatic index four. A 3-edge-coloring of G is a coloring of its edges in which only three colors are used. Then a vertex is conflicting when some edges incident to it have the same color. The minimum possible number of conflicting vertices that a 3edge-coloring of G can have, d(G), is called the edge-coloring degree of G. Here we are mai...
متن کاملLabeling outerplanar graphs with maximum degree three
An L(2, 1)-labeling of a graph G is an assignment of a nonnegative integer to each vertex of G such that adjacent vertices receive integers that differ by at least two and vertices at distance two receive distinct integers. The span of such a labeling is the difference between the largest and smallest integers used. The λ-number of G, denoted by λ(G), is the minimum span over all L(2, 1)-labeli...
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: Discrete Mathematics
سال: 2009
ISSN: 0012-365X
DOI: 10.1016/j.disc.2008.05.024