Автор: Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu Название: On Sets and Graphs: Perspectives on Logic and Combinatorics Издательство: Springer Год: 2017 ISBN: 9783319549804 Язык: English Формат: epub, pdf Размер: 18,6 mb Страниц: 275
Topics and features:
– Explores the interrelationships between sets and graphs and their applications to finite combinatorics, with a focus on proof methods and proof technology – Introduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a short discussion on set universes – Explains how, and under what circumstances, 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, problems and insight panels throughout the text
This accessible textbook/reference offers an illuminating read for graduate students of computer science and mathematics. The work is also ideal as a self-study resource for other non-specialists pursuing a deeper understanding of the subject matter.
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On Sets and Graphs: Perspectives on Logic and Combinatorics 
