Almost Linear Upper Bounds On the Length of General Davenport Schinzel Sequences

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Almost Linear Upper Bounds On the Length of General Davenport Schinzel Sequences
Micha Sharir
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8a) Fi'^ia) 3 and that (4. 8a) has been established for s-1. It easily follows from (4. 7) that G(f)(a) 3. Next c»nsider (4. 8b). It follows immediately from (4. 4) that (4. 8b) holds for 5 = 3. Suppose s > 3 and that (4. 8b) has been established for s — 1. Put a = 2Gi^-i)(a), b^3 + 2F(j-''>{a) + 2G£-'-^)(a) . Then (4. 7) implies Fi^)(a)

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