Fox and Y. Zhao, Extremal results in sparse pseudorandom graphs, Adv. Math. 256 (2014), 206-290.D. Conlon, J. Fox, and Y. Zhao. Extremal results in sparse pseudorandom graphs. Preprint arXiv:1204.6645.David Conlon, Jacob Fox, and Yufei Zhao, Extremal results in sparse pseudorandom ...
Compactness results in extremal graph theory Let L be a given family of so called prohibited graphs. Let ex ( n , L) denote the maximum number of edges a simple graph of order n can have without cont... P Erd?S,M Simonovits - 《Combinatorica》 被引量: 233发表: 1982年 加载更多来...
IN PLANAR GRAPHS 1:22:04 A survey of Büthe's method for estimating prime counting functions 39:09 Examples of well-behaved Beurling number systems 1:16:36 MIKOLAJ FR_CZYK_ DENSITY CONJECTURE FOR HORIZONTAL FAMILIES OF LATTICES 1:04:27 Twisted moments of characteristic polynomials of random ...
First, in Sect. 2, we fix the notation and state the main results. Section 3 illustrates in broad strokes how the Chen-Stein method can be used to tackle the assertion. This involves two critical steps, namely identifying the correct scaling and excluding multiple exceedances, which will be ...
Variable neighborhood search for extremal graphs, 19. Further conjectures and results about the Randić index MATCH—Communications in Mathematical and in Computer Chemistry, 58 (2007), pp. 83-102 View in ScopusGoogle Scholar [4] G. Caporossi, I. Gutman, P. Hansen Variable neighborhood search...
Zhao, On replica symmetry of large deviations in random graphs, Random Structures Algorithms 47 (2015) 109–146. 26. G. Perarnau, W. Perkins, Counting independent sets in cubic graphs of given girth, preprint (2016), arXiv:1610.08496. 27. W. Perkins, personal communication. 28. L. Sern...
B. Bollobás: Random Graphs, Academic Press, (1985). Second edition. Cambridge Studies in Advanced Mathematics, 73. Cambridge University Press, Cambridge, 2001. xviii+498 pp. Google Scholar B. Bollobás: Extremal graph theory with emphasis on probabilistic methods, Conference Board of Mathematical...
[20] for a thorough and detailed survey.One of the few general results in this area, f i rst proved by Füredi [19] while establishing aconjecture of Erd˝ os and later reproved by Alon, Krivelevich and Sudakov [4] using the celebrateddependent random choice technique (see [18] and...
freegraphsandtheZarankiewiczproblem...22 3.2FiniteGeometriesandtheC 4 -freegraphs...25 3.3ExcludingC 4 :Exactresults...27 3.4ExcludingK(2,t+1),t>1...28 3.5ExcludingK(3,3),andimprovingtheupperbound...31 1 F¨uredi-Simonovits(FureSimSurvC)May15,20132 3.6FurtherapplicationsofAlgebraicMetho...
Two main tools are used here: the first one is an upper bound for the number of graphs with large even-girth, i.e. , graphs without short even cycles, with a given number of vertices and edges, and satisfying a certain additional pseudorandom condition; the second tool is the powerful ...