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商品詳細
On Sets and Graphs: Perspectives on Logic and Combinatorics. Softcover reprint of the original 1st ed. 2017
・ISBN 978-3-319-85536-3 paper EUR 56.99
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お気に入り
★★★
| 著者・編者 | Omodeo, Eugenio G. / Policriti, Alberto / Tomescu, Alexandru I., |
|---|---|
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2018 |
| ページ数 | 275 pp. |
| 言語 | ENG |
| ニュース番号 | ＜A02-91062＞ |
解説
This treatise presents an integrated perspective on the interplay of set theory and graph theory, providing an extensive selection of examples that highlight how methods from one theory can be used to better solve problems originated in the other. Features: explores the interrelationships between sets and graphs and their applications to finite combinatorics; introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a discussion on set universes; explains how sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates when it is convenient to represent sets by graphs, covering counting and encoding problems, the random generation of sets, and the analysis of infinite sets; presents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant; contains numerous exercises, examples, definitions, problemsand insight panels.