Jack Robertson, William Webb

Cake-Cutting Algorithms (eBook, ePUB)

Be Fair if You Can

• Format: ePub

Produktbeschreibung

This book gathers into one readable and inclusive source a comprehensive discussion of the state of the art in cake-cutting problems for both the novice and the professional. It offers a complete treatment of all cake-cutting algorithms under all the considered definitions of "fair" and presents them in a coherent, reader-friendly manner. Robertson and Webb have brought this elegant problem to life for both the bright high school student and the professional researcher.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Erscheinungstermin: 15. Juli 1998
• Englisch
• ISBN-13: 9781040179499
• Artikelnr.: 73300150

Autorenporträt

Jack Robertson, William Webb

Inhaltsangabe

Preface 1 Fairly Dividing a Cake 2 Pieces or Crumbs - How Many Cuts Are Needed? 3 Unequal Shares 4 The Serendipity of Disagreement 5 Some Variations on the Theme of ''Fair'' Division 6 Some Combinatorial Observations 7 Interlude: An Inventory of Results 8 Impossibility Theorems 9 Attempting Fair Division with a Limited Number of Cuts 10 Exact and Envy-Free Algorithms 11 A Return to Division for Unequal Shares

Rezensionen

Cake-Cutting Algorithms will engage and challenge both veteran and novice mathematicians...
-- Francis Edward Su, American Mathematical Monthly , March 2000