Perfect $2$-colorings of the Platonic graphs
نویسندگان
چکیده مقاله:
In this paper, we enumerate the parameter matrices of all perfect $2$-colorings of the Platonic graphs consisting of the tetrahedral graph, the cubical graph, the octahedral graph, the dodecahedral graph, and the icosahedral graph.
منابع مشابه
Set Colorings in Perfect Graphs
(Received September 1, 2009) Abstract. For a nontrivial connected graph G, let c : V (G) → N be a vertex coloring of G where adjacent vertices may be colored the same. For a vertex v ∈ V (G), the neighborhood color set NC(v) is the set of colors of the neighbors of v. The coloring c is called a set coloring if NC(u) 6= NC(v) for every pair u, v of adjacent vertices of G. The minimum number of c...
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عنوان ژورنال
دوره 8 شماره 2
صفحات 29- 35
تاریخ انتشار 2017-12-04
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