The strange logic of random graphs

著者

    • Spencer, Joel

書誌事項

The strange logic of random graphs

Joel Spencer

(Algorithms and combinatorics, 22)

Springer, c2001

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注記

Includes bibliographical references (p. [165]-166) and index

内容説明・目次

内容説明

The study of random graphs was begun in the 1960s and now has a comprehensive literature. This excellent book by one of the top researchers in the field now joins the study of random graphs (and other random discrete objects) with mathematical logic. The methodologies involve probability, discrete structures and logic, with an emphasis on discrete structures.

目次

I. Beginnings.- 0. Two Starting Examples.- 1. Preliminaries.- 2. The Ehrenfeucht Game.- II. Random Graphs.- 3. Very Sparse Graphs.- 4. The Combinatorics of Rooted Graphs.- 5. The Janson Inequality.- 6. The Main Theorem.- 7. Countable Models.- 8. Near Rational Powers of n.- III. Extras.- 9. A Dynamic View.- 10. Strings.- 11. Stronger Logics.- 12. Three Final Examples.

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詳細情報

  • NII書誌ID(NCID)
    BA52741979
  • ISBN
    • 3540416544
  • 出版国コード
    gw
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Berlin ; Tokyo
  • ページ数/冊数
    x, 168 p.
  • 大きさ
    24 cm
  • 親書誌ID
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