{"product_id":"on-sets-and-graphs-perspectives-on-logic-and-combinatorics-9783319855363","title":"On Sets and Graphs: Perspectives on Logic and Combinatorics","description":"\u003cp\u003e • Author(s): Eugenio G. Omodeo\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Programming - Algorithms\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis unique treatise presents an integrated perspective on the relationship and 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. This combined viewpoint not only simplifies the manipulation of sets and enriches the potential of graphs, but also permits a more profound understanding of the multi-faceted nature of sets and graphs.\u003c\/p\u003e \u003cp\u003e\u003cb\u003eTopics and features: \u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e\u003cul\u003e\n\u003cli\u003eExplores the interrelationships between sets and graphs and their applications to finite combinatorics, with a focus on proof methods and proof technology\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eIntroduces the fundamental graph-theoretical notions from the standpoint of both set theory and dyadic logic, and presents a short discussion on set universes\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eExplains how, and under what circumstances, sets can conveniently model graphs, discussing set graphs and set-theoretic representations of claw-free graphs\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eInvestigates 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\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003ePresents excerpts of formal proofs concerning graphs, whose correctness was verified by means of an automated proof-assistant\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eContains numerous exercises, examples, definitions, problems and insight panels throughout the text\u003cbr\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e 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.\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eDr. Eugenio G. Omodeo\u003c\/b\u003e is a professor in the Department of Mathematics and Geosciences at the University of Trieste, Italy. His other publications include the Springer title \u003ci\u003eComputational Logic and Set Theory\u003c\/i\u003e. \u003cb\u003eDr. Alberto Policriti\u003c\/b\u003e is a Professor of Computer Science in the Department of Mathematics, Computer Science, and Physics at the University of Udine, Italy. Together with Dr. Eugenio G. Omodeo, he is co-author of the Springer title \u003ci\u003eSet Theory for Computing\u003c\/i\u003e. \u003cb\u003eDr. Alexandru I. Tomescu\u003c\/b\u003e is postdoctoral researcher in the Department of Computer Science at the University of Helsinki, Finland.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277072785559,"sku":"9783319855363","price":4148.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319855363.webp?v=1769287413","url":"https:\/\/atlanticbooks.com\/products\/on-sets-and-graphs-perspectives-on-logic-and-combinatorics-9783319855363","provider":"Atlantic Books","version":"1.0","type":"link"}