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28 March 2024
 
  » arxiv » math.CO/0411128

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Why Delannoy numbers?
Cyril Banderier ; Sylviane Schwer ;
Date 6 Nov 2004
Subject Combinatorics; Probability; History and Overview; Statistics; Data Structures and Algorithms; Computer Science and Game Theory; Genomics | math.CO cs.DS cs.GT math.HO math.PR math.ST q-bio.GN
AffiliationLIPN), Sylviane Schwer (LIPN
AbstractThis article is not a research paper, but a little note on the history of combinatorics: We present here a tentative short biography of Henri Delannoy, and a survey of his most notable works. This answers to the question raised in the title, as these works are related to lattice paths enumeration, to the so-called Delannoy numbers, and were the first general way to solve Ballot-like problems. These numbers appear in probabilistic game theory, alignments of DNA sequences, tiling problems, temporal representation models, analysis of algorithms and combinatorial structures.
Source arXiv, math.CO/0411128
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