Sharp Upper and Lower Bounds on the Length of General DavenportSchinzel Sequences Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 28.23
Quantity: 15 available
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Seller Inventory # LW-9781332093717
- Title
- Sharp Upper and Lower Bounds on the Length of General DavenportSchinzel Sequences Classic Reprint
- Author
- P. Agarwal
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 133209371X
- ISBN 13
- 9781332093717
- Item weight
- 154 grams
This work presents new bounds for Davenport-Schinzel sequences, a key concept in computational geometry. It focuses on how long these sequences can be under various order constraints and what that means for related problems.
The authors generalize techniques to obtain tighter estimates for higher orders, including a detailed look at the order four case and extensions to larger orders. The approach uses decompositions, new function families tied to Ackermann’s function, and a careful inductive framework to bridge gaps between upper and lower bounds. The results highlight how sharp estimates influence the complexity of core geometric problems and related algorithms.
- Understand what Davenport-Schinzel sequences are and why they matter in geometry
- See how sequences can be decomposed into chains to study their length
- Learn about the role of Ackermann-type functions in deriving bounds
- Discover how these bounds translate into practical limits for geometric problems
Ideal for readers of combinatorial geometry, algorithm design, and researchers interested in sequence bounds and their applications.
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PBShop.store US
Wood Dale, IL, U.S.A.
AbeBooks seller since April 7, 2005
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