On Sets and Graphs: Perspectives on Logic and Combinatorics - download pdf or read online

By Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu

This treatise provides an built-in viewpoint at the interaction of set conception and graph conception, delivering an intensive collection of examples that spotlight how tools from one conception can be utilized to higher remedy difficulties originated within the different. positive aspects: explores the interrelationships among units and graphs and their purposes to finite combinatorics; introduces the elemental graph-theoretical notions from the perspective of either set conception and dyadic common sense, and offers a dialogue on set universes; explains how units can with ease version graphs, discussing set graphs and set-theoretic representations of claw-free graphs; investigates whilst it really is handy to symbolize units via graphs, masking counting and encoding difficulties, the random new release of units, and the research of countless units; offers excerpts of formal proofs touching on graphs, whose correctness was once established through an automatic proof-assistant; comprises various routines, examples, definitions, difficulties and perception panels.

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On Sets and Graphs: Perspectives on Logic and Combinatorics by Eugenio G. Omodeo,Alberto Policriti,Alexandru I. Tomescu

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