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A Tight Bound on the Number of Geometric Permutations of Convex Fat Objects inRd

✍ Scribed by M. J. Katz; K. R. Varadarajan


Publisher
Springer
Year
2001
Tongue
English
Weight
92 KB
Volume
26
Category
Article
ISSN
0179-5376

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Tight upper bound on the number of edges
✍ Zhi-Zhong Chen; Shiqing Zhang πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 68 KB

We show that an n-vertex bipartite K 3,3 -free graph with n 3 has at most 2n -4 edges and that an n-vertex bipartite K 5 -free graph with n 5 has at most 3n -9 edges. These bounds are also tight. We then use the bound on the number of edges in a K 3,3 -free graph to extend two known NC algorithms fo