A maximal planar graph is a simple planar graph in which every face is a triangle. We show here that such graphs with maximum degree A and diameter two have no more than :A + 1 vertices. We also show that there exist maximal planar graphs with diameter two and exactly LiA + 1 J vertices.
Classification of Regular Planar Graphs with Diameter Two
β Scribed by Moo Young Sohn; Sang Bum Kim; Young Soo Kwon; Rong Quan Feng
- Book ID
- 106277799
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2005
- Tongue
- English
- Weight
- 138 KB
- Volume
- 23
- Category
- Article
- ISSN
- 1439-7617
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