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Real Computations with Fake Numbers

✍ Scribed by Felipe Cucker


Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
201 KB
Volume
18
Category
Article
ISSN
0885-064X

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## Abstract In the first author's thesis [10], a sequential language, LRT, for real number computation is investigated. That thesis includes a proof that all polynomials are programmable, but that work comes short of giving a complete characterization of the expressive power of the language even fo

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We show that for each rational number r such that 4<r ≀ 5 there exist infinitely many cyclically 4-edge-connected cubic graphs of chromatic index 4 and girth at least 5-that is, snarks-whose flow number equals r. This answers a question posed by Pan and Zhu [Construction of graphs with given circula