Results 41 to 50 of about 1,368 (181)
Ramsey and Star-Critical Ramsey Numbers involving Generalized Fans
, 2020 Ramsey Theory, one of the most well-studied branches of Combinatorics, can be paraphrased as the pursuit of order amongst chaos. The Fundamental Theorem of Ramsey Theory (for graphs) states that, for any two graphs G and H, any large enough red/blue ...
Hazelton, Paul, Thompson, Suzanna
core
On Tight Tree‐Complete Hypergraph Ramsey Numbers
Journal of Graph Theory, EarlyView.ABSTRACT Chvátal showed that for any tree T $T$ with k $k$ edges, the Ramsey number R ( T , n ) = k ( n − 1 ) + 1 $R(T,n)=k(n-1)+1$. For r = 3 $r=3$ or 4, we show that, if T $T$ is an r $r$‐uniform nontrivial tight tree, then the hypergraph Ramsey number R ( T , n ) = Θ ( n r − 1 ) $R(T,n)={\rm{\Theta }}({n}^{r-1})$.
Jiaxi Nie
wiley +1 more source
Ramsey Theory Problems over the Integers: Avoiding Generalized Progressions [PDF]
, 2017 Two well studied Ramsey-theoretic problems consider subsets of the natural numbers which either contain no three elements in arithmetic progression, or in geometric progression. We study generalizations of this problem, by varying the kinds of progressions to be avoided and the metrics used to evaluate the density of the resulting subsets. One can view
Best, Andrew +6 more
openaire +2 more sources
On a Clique‐Building Game of Erdős
Journal of Graph Theory, EarlyView.ABSTRACT The following game was introduced in a list of open problems from 1983 attributed to Erdős: two players take turns claiming edges of a Kn ${K}_{n}$ until all edges are exhausted. Player 1 wins the game if the largest clique that they claim at the end is strictly larger than the largest clique of their opponent; otherwise, Player 2 wins the ...
Alexandru Malekshahian, Sam Spiro
wiley +1 more source
Chromatic Ramsey Numbers and Two‐Color Turán Densities
Journal of Graph Theory, EarlyView.ABSTRACT Given a graph G, its 2‐color Turán number ex ( 2 ) ( n , G ) is the maximum number of edges in an n‐vertex graph, such that the edges can be colored with two colors avoiding a monochromatic copy of G. Let π ( 2 ) ( G ) = lim n → ∞ ex ( 2 ) ( n , G ) / n 2 be the 2‐color Turán density of G.
Maria Axenovich, Simon Gaa, Dingyuan Liu
wiley +1 more source
Disparities in Hearing Screening Practices in Minnesota Elementary Schools
The Laryngoscope, EarlyView.ABSTRACT Objective Identifying and addressing pediatric hearing loss is critical to supporting a child's development. School‐based hearing screening is a mainstay of timely identification of hearing loss. The objectives of this study were to characterize the current hearing screening practices in public, charter, and private elementary schools in ...
Autefeh Sajjadi +12 more
wiley +1 more source
Sustainable Development, EarlyView.ABSTRACT Corporate sustainability in the Global South unfolds under heterogeneous institutional conditions, where firms face simultaneous pressures from global ESG standards and local governance constraints. This study examines the relationship between ESG‐aligned environmental practices and corporate financial performance, considering the moderating ...
Paulo Sérgio Reinert +3 more
wiley +1 more source
FinTech and Environmental Sustainability: Evidence From Brazil
Sustainable Development, EarlyView.ABSTRACT This study explores the dynamic interplay between economic growth and environmental sustainability from a FinTech perspective, using Brazil as a case study. While FinTech's contribution to green transformation, sustainable finance, and resource efficiency has gained increasing attention, a notable lack of empirical research remains to assess ...
Kemal Eyuboglu, Umut Uzar
wiley +1 more source
, 2020 Set theory continues to experience dramatic progress, both in pure set theory, with its fundamental techniques of forcing, large cardinals, and inner model theory, and in applied set theory, with its deep connections to other areas of mathematics ...
core +1 more source
Sustainable Development, EarlyView.ABSTRACT Identifying the principal drivers of carbon emissions is vital for designing effective mitigation strategies and supporting long‐term environmental sustainability. Although previous studies have explored multiple determinants of emissions, limited attention has been paid to the most influential energy–technology channels within trade‐dependent
Gang Kou +3 more
wiley +1 more source