𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Monotone paths in ordered graphs

✍ Scribed by Vladimír Müller; Vojtěch Rödl


Book ID
110564365
Publisher
Springer-Verlag
Year
1982
Tongue
English
Weight
423 KB
Volume
2
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Long Monotone Paths in Line Arrangements
✍ József Balogh; Oded Regev; Clifford Smyth; William Steiger; Mario Szegedy 📂 Article 📅 2004 🏛 Springer 🌐 English ⚖ 178 KB
Increasing sequences with nonzero block
✍ A.R. Calderbank; F.R.K. Chung; D.G. Sturtevant 📂 Article 📅 1984 🏛 Elsevier Science 🌐 English ⚖ 622 KB

Consider the maximum length [(k) of a flexicographieally) increasing sequence of vectors in GF(2) k with the property that the sum of the vectors in any consecutive subsequence is nonzero modulo 2. We prove that ~. 2 k ~<f(k)~<(~+o(1))2 k. A related problem is the following. Suppose the edges of th