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Linearization by Prolongations: New Bounds on the Number of Integrators

✍ Scribed by Franch, Jaume; Fossas, Enric

Book ID
123378208
Publisher
The European Union Control Association
Year
2005
Tongue
English
Weight
120 KB
Volume
11
Category
Article
ISSN
0947-3580

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## Abstract It is known that for every integer __k__ β‰₯ 4, each __k__‐map graph with __n__ vertices has at most __kn__ βˆ’ 2__k__ edges. Previously, it was open whether this bound is tight or not. We show that this bound is tight for __k__ = 4, 5. We also show that this bound is not tight for large en