Connections in Discrete Mathematics (eBook, ePUB)

A Celebration of the Work of Ron Graham
Redaktion: Butler, Steve

• Format: ePub

Produktbeschreibung

Discrete mathematics has been rising in prominence in the past fifty years, both as a tool with practical applications and as a source of new and interesting mathematics. The topics in discrete mathematics have become so well developed that it is easy to forget that common threads connect the different areas, and it is through discovering and using these connections that progress is often made. For over fifty years, Ron Graham has been able to illuminate some of these connections and has helped to bring the field of discrete mathematics to where it is today. To celebrate his contribution, this volume brings together many of the best researchers working in discrete mathematics, including Fan Chung, Erik D. Demaine, Persi Diaconis, Peter Frankl, Alfred W. Hales, Jeffrey C. Lagarias, Allen Knutson, Janos Pach, Carl Pomerance, N. J. A. Sloane, and of course, Ron Graham himself.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 14. Juni 2018
• Englisch
• ISBN-13: 9781108569545
• Artikelnr.: 53699971

Inhaltsangabe

1. Probabilizing Fibonacci numbers Persi Diaconis; 2. On the number of ON
cells in cellular automata N. J. A. Sloane; 3. Search for ultraflat
polynomials with plus and minus one coefficients Andrew Odlyzko; 4.
Generalized Goncharov polynomials Rudolph Lorenz, Salvatore Tringall and
Catherine H. Yan; 5. The digraph drop polynomial Fan Chung and Ron Graham;
6. Unramified graph covers of finite degree Hau-Wen Huang and Wen-Ching
Winnie Li; 7. The first function and its iterates Carl Pomerance; 8. Erdos,
Klarner, and the 3x + 1 problem Jeffrey C. Lagarias; 9. A short proof for
an extension of the Erdos-Ko-Rado theorem Peter Frankl and Andrey
Kupavskii; 10. The Haight-Ruzsa method for sets with more differences than
multiple sums Melvyn B. Nathanson; 11. Dimension and cut vertices William
T. Trotter, Bartosz Walczak and Ruidong Wang; 12. Recent results on
partition regularity of infinite matrices Neil Hindman; 13. Some remarks on
pi Christian Reiher, Vojtech Rodl and Mathias Schacht; 14. Ramsey classes
with closure operations Jan Hubicka and Jaroslav Nesetril; 15. Borsuk and
Ramsey type questions in Euclidean space Peter Frankl, Janos Pach,
Christian Reiher and Vojtech Rodl; 16. Pick's theorem and sums of lattice
points Karl Levy and Melvyn B. Nathanson; 17. Apollonian ring packings
Adrian Bolt, Steve Butler and Espen Hovland; 18. Juggling and card
shuffling meet mathematical fonts Erik D. Demaine and Martin L. Demaine;
19. Randomly juggling backwards Allen Knutson; 20. Explicit error bounds
for lattice Edgeworth expansions J. P. Buhler, A. C. Gamst, Ron Graham and
Alfred W. Hales.