Chordal Completions of Planar Graphs
نویسندگان
چکیده
We prove that every planar graph on n vertices is contained in a chordal graph with at most cn log n edges for some absolute constant c and this is best possible to within a constant factor.
منابع مشابه
Chordal Completions of Planar Graphs
A graph is said to be chordal if every cycle with at least four vertices always contains a chord. (A chordal graph is sometimes called a triangulated graph in the literature. For graph-theoretical terminology, the reader is referred to [4].) A chordal completion of a graph G is a chordal graph with the same vertex set as G which contains all edges of G. The problem of interest is to find for a ...
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ورودعنوان ژورنال:
- J. Comb. Theory, Ser. B
دوره 62 شماره
صفحات -
تاریخ انتشار 1994