The (Δ+2,2)-incidence coloring of outerplanar graphs
نویسندگان
چکیده
منابع مشابه
On Coloring Squares of Outerplanar Graphs
We study vertex colorings of the square G of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G as a function of the maximum degree ∆ of G for all ∆ ∈ N. As a bonus, we obtain the optimal bound of the choosability (or the list-chromatic number) of G when ∆ ≥ 7. In the case of chordal outerplanar graphs, we classify exactly which g...
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A graph is pseudo-outerplanar if each of its blocks has an embedding in the plane so that the vertices lie on a fixed circle and the edges lie inside the disk of this circle with each of them crossing at most one another. In this paper, the total coloring conjecture is completely confirmed for pseudoouterplanar graphs. In particular, it is proved that the total chromatic number of every pseudo-...
متن کاملList total coloring of pseudo-outerplanar graphs
A graph is pseudo-outerplanar if each of its blocks has an embedding in the plane so that the vertices lie on a fixed circle and the edges lie inside the disk of this circle with each of them crossing at most one another. It is proved that every pseudo-outerplanar graph with maximum degree ∆ ≥ 5 is totally (∆ + 1)-choosable.
متن کاملOn list-coloring extendable outerplanar graphs∗
We investigate a variation on Thomassen’s 2and 3-extendability of precoloring extensions for list-coloring graphs. For an outerplanar graph G with i, j ≤ 2, we say that G is {i, j}-extendable if for every pair of nonadjacent vertices x and y, whenever x is assigned an i-list, y is assigned a j-list, and all other vertices have a 3-list, G is list-colorable. We characterize the {1, 1}and the {1,...
متن کاملVertex coloring the square of outerplanar graphs of low degree
Vertex colorings of the square of an outerplanar graph have received a lot of attention recently. In this article we prove that the chromatic number of the square of an outerplanar graph of maximum degree ∆ = 6 is 7. The optimal upper bound for the chromatic number of the square of an outerplanar graph of maximum degree ∆ 6= 6 is known. Hence, this mentioned chromatic number of 7 is the last an...
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ژورنال
عنوان ژورنال: Progress in Natural Science
سال: 2008
ISSN: 1002-0071
DOI: 10.1016/j.pnsc.2007.09.007