Simultaneous Embedding of a Planar Graph and Its Dual on the Grid
β Scribed by Cesim Erten; Stephen G. Kobourov
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 235 KB
- Volume
- 38
- Category
- Article
- ISSN
- 1433-0490
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π SIMILAR VOLUMES
In this paper we show that any maximal planar graph with m triangles except the unbounded face can be transformed into a straight-line embedding in which at least WmΓ3X triangles are acute triangles. Moreover, we show that any maximal outerplanar graph can be transformed into a straight-line embeddi
## Abstract We prove in this note that the linear vertexβarboricity of any planar graph is at most three, which confirms a conjecture due to Broere and Mynhardt, and others.
## Abstract Let __G__ be a graph on __p__ vertices with __q__ edges and let __r__β=β__q__βββ__p__β=β1. We show that __G__ has at most ${15\over 16} 2^{r}$ cycles. We also show that if __G__ is planar, then __G__ has at most 2^__r__βββ1^β=β__o__(2^__r__βββ1^) cycles. The planar result is best possib