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On the Cover: James Welling on Louise Lawler

โœ Scribed by James Welling

Book ID
124669326
Year
2006
Weight
442 KB
Volume
95
Category
Article
ISSN
0743-3204

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๐Ÿ“œ SIMILAR VOLUMES

On well-covered triangulations: Part I
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A graph G is said to be well-covered if every maximal independent set of vertices has the same cardinality. A planar (simple) graph in which each face is a triangle is called a triangulation. It is the aim of this paper to prove that there are no 5-connected planar well-covered triangulations.

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A set of points in a graph is independent if no two points in the set are adjacent. A graph is well covered if every maximal independent set is a maximum independent set or, equivalently, if every independent set is contained in a maximum independent set. The well-covered graphs are classified by th