Mathematics Some problems in extremal graph theory avoiding the use of the regularity lemma RUTGERS THE STATE UNIVERSITY OF NEW JERSEY - NEW BRUNSWICK Endre Szemeredi LevittIan MarcIn this thesis we present two results in Extremal Graph Theory. The first result is a new proof of a conjecture of...
49 NIKA SALIA_ EXTREMAL PROBLEMS 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 ...
Most of these are extremal problems in graph theory. Others have to do with divisibility properties of sequ... P Erdos - 《Discrete Mathematics》 被引量: 87发表: 1997年 A revision of some old world moss taxa in the Syrrhopodon prolifer complex (Musci: Calymperaceae), and a new ...
While in combinatorial optimization the point is in developing efficient algorithms and heuristics for solving specified types of problems, the extremal graph theory deals with finding bounds for various graph invariants under some constraints and with constructing extremal graphs. We analyze by examples ...
Some Extremal Problems for Multivariate Polynomialson Convex Bodies In this paper we extend some Chebyshev and Remez-type inequalitiesfor multivariate polynomials. A Kroó,D Schmidt - 《Journal of Approximation Theory》 被引量: 12发表: 1997年 Some extremal problems of various metrics and sharp ...
We say that a graph G is F-free if it does not contain F as a subgraph. Acornerstone of extremal graph theory is Turán’s theorem [25], which determines the maximumnumber of edges in an n-vertex K k -free graph. The extremal construction is a complete(k −1)-partite graph on ...
Let us recall another important result in extremal set theory. A family F⊂([n]k) is called non-trivial if ∩{F:F∈F}=∅. The Hilton-Milner Theorem gives a strong stability result of the Erdős-Ko-Rado Theorem for t=1.
- International Workshop on Signal Design & Its Applications in Communications 被引量: 17发表: 2009年 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 ...
[For the entire collection see Zbl 0293.00009.] The authors investigate several extremal problems on set systems and state many unsolved problems. In this short review I can state only two of them. Denote by $f(n)$ the smallest integer for which there is a family $\\{A_k \\}$ of su...
P. Frankl, On families of finite sets no two of which intersect in a singleton,Bull. Austral. Math. Soc. 17 (1977), 125–134.MATHMathSciNetCrossRef [4] P. Frankl, Extremal problems and coverings of the space,European J. Comb. 1 (1980), 101–106.MATHMathSciNet [5] P. Frankl an...