THE TYPICAL STRUCTURE OF MAXIMAL TRIANGLE-FREE GRAPHS

Recently, settling a question of Erdős, Balogh, and Petříčková showed that there are at most $2^{n^{2}/8+o(n^{2})}$$n$-vertex maximal triangle-free graphs, matching the previously known lower bound. Here, we characterize the typical structure of maximal triangle-free graphs. We show that almost ever...

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Bibliographic Details
Main Authors: JÓZSEF BALOGH, HONG LIU, ŠÁRKA PETŘÍČKOVÁ, MARYAM SHARIFZADEH
Format: Article
Language:English
Published: Cambridge University Press 2015-10-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509415000225/type/journal_article