Results 91 to 100 of about 14,970 (213)

Hamilton cycles in graphs and hypergraphs: an extremal perspective [PDF]

open access: yes, 2014
As one of the most fundamental and well-known NP-complete problems, the Hamilton cycle problem has been the subject of intensive research. Recent developments in the area have highlighted the crucial role played by the notions of expansion and quasi ...
Kühn, Daniela, Osthus, Deryk
core   +1 more source

Quasirandom Cayley graphs

open access: yesDiscrete Analysis, 2017
Quasirandom Cayley graphs, Discrete Analysis 2017:6, 14 pp. An extremely important phenomenon in extremal combinatorics is that of _quasirandomness_: for many combinatorial structures, it is possible to identify a list of deterministic properties, each ...
David Conlon, Yufei Zhao
doaj   +1 more source

Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case

open access: yesDiscrete Analysis, 2017
Quantitative bounds in the polynomial Szemerédi theorem: the homogeneous case, Discrete Analysis 2017:5, 34 pp. Szemerédi's theorem, proved in 1975, asserts that for every positive integer $k$ and every $\delta>0$ there exists $n$ such that every subset
Sean Prendiville
doaj   +1 more source

Linear trees in uniform hypergraphs [PDF]

open access: yes, 2013
Given a tree T on v vertices and an integer k exceeding one. One can define the k-expansion T^k as a k-uniform linear hypergraph by enlarging each edge with a new, distinct set of (k-2) vertices. Then T^k has v+ (v-1)(k-2) vertices. The aim of this paper
Furedi, Zoltan
core  

on problems in extremal combinatorics

open access: yes, 2016
Extremal Combinatorics studies how large or how small a structure can be, if it does not contain certain forbidden configuration. One of its major areas of study is extremal set theory, where the structures considered are families of sets, and the forbidden configurations are restricted intersection patterns.
openaire   +2 more sources

Quasirandom Graphs and the Pantograph Equation. [PDF]

open access: yesAm Math Mon, 2021
Shapira A, Tyomkyn M.
europepmc   +1 more source

Universal models for Lorenz maps

open access: yes, 1996
The existence of smooth families of Lorenz maps exhibiting all possible dynamical behavior is established and the structure of the parameter space of these families is ...
de Melo, Welington, Martens, Marco
core   +1 more source

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