The Equivalence Problem of Polynomially Bounded D0L Systems— a Bound Depending Only on the Size of the Alphabet
✍ Scribed by Honkala
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 121 KB
- Volume
- 36
- Category
- Article
- ISSN
- 1433-0490
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## Abstract Harary stated the conjecture that for any graph __G__ with __n__ edges and without isolated vertices __r__(__K__~3~,__G__) ⩽ 2__n__ + 1. Erdös, Faudree, Rousseau, and Schelp proved that __r__(__K__~3~,__G__) ⩽ ⌈8/3__n__⌉. Here we prove that __r__(__K__~3~,__G__) ⩽ ⌊5/2__n__⌋ −1 for __n_
In this paper, we consider the Cauchy problem with initial data given on a semi-bounded axis for quasilinear hyperbolic systems. Under the assumption that the leftmost (resp. rightmost) eigenvalue is weakly linearly degenerate, we obtain the global existence and uniqueness of C 1 solution with small