Results 71 to 80 of about 887,124 (211)
Spaceborne and spaceborn: Physiological aspects of pregnancy and birth during interplanetary flight
Experimental Physiology, EarlyView.Abstract Crewed interplanetary return missions that are on the planning horizon will take years, more than enough time for initiation and completion of a pregnancy. Pregnancy is viewed as a sequence of processes – fertilization, blastocyst formation, implantation, gastrulation, placentation, organogenesis, gross morphogenesis, birth and neonatal ...
Arun V. Holden
wiley +1 more source
Journal of Combinatorial Designs, Volume 33, Issue 12, Page 456-470, December 2025.ABSTRACT A family ℱ of subsets of [ n ] = { 1 , 2 , … , n } shatters a set A ⊆ [ n ] if for every A ′ ⊆ A, there is an F ∈ ℱ such that F ∩ A = A '. We develop a framework to analyze f ( n , k , d ), the maximum possible number of subsets of [ n ] of size d that can be shattered by a family of size k.
Noga Alon +2 more
wiley +1 more source
Integer colorings with forbidden rainbow sums
, 2020 For a set of positive integers $A \subseteq [n]$, an $r$-coloring of $A$ is rainbow sum-free if it contains no rainbow Schur triple. In this paper we initiate the study of the rainbow Erd\H{o}s-Rothchild problem in the context of sum-free sets, which ...
Cheng, Yangyang +4 more
core
Journal of Graph Theory, Volume 110, Issue 4, Page 448-456, December 2025.ABSTRACT A dominating K t‐model in a graph G is a sequence ( T 1 , … , T t ) of pairwise disjoint non‐empty connected subgraphs of G, such that for 1 ⩽ i < j ⩽ t every vertex in T j has a neighbour in T i. Replacing ‘every vertex in T j’ by ‘some vertex in T j’ retrieves the standard definition of K t‐model, which is equivalent to K t being a minor of ...
Freddie Illingworth, David R. Wood
wiley +1 more source
The Turán problem for hypergraphs of fixed size [PDF]
, 2005 We obtain a general bound on the Turán density of a hypergraph in terms of the number of edges that it contains. If F is an r-uniform hypergraph with f edges we show that [pi](F) =3 and f->[infinity]
Keevash, Peter
core
Symmetric 2‐ ( 35 , 17 , 8 ) Designs With an Automorphism of Order 2
Journal of Combinatorial Designs, Volume 33, Issue 10, Page 399-403, October 2025.ABSTRACT The largest prime p that can be the order of an automorphism of a 2‐ ( 35 , 17 , 8 ) design is p = 17, and all 2‐ ( 35 , 17 , 8 ) designs with an automorphism of order 17 were classified by Tonchev. The symmetric 2‐ ( 35 , 17 , 8 ) designs with automorphisms of an odd prime order p < 17 were classified in Bouyukliev, Fack and Winne and ...
Sanja Rukavina, Vladimir D. Tonchev
wiley +1 more source
Undecidability of polynomial inequalities in weighted graph homomorphism densities
Forum of Mathematics, SigmaMany problems and conjectures in extremal combinatorics concern polynomial inequalities between homomorphism densities of graphs where we allow edges to have real weights.
Grigoriy Blekherman +2 more
doaj +1 more source
Combinatorial theorems relative to a random set [PDF]
, 2014 We describe recent advances in the study of random analogues of combinatorial theorems.Comment: 26 pages.
Conlon, David
core +2 more sources
Abundant Neighborhoods, Two‐Sided Markets, and Maximal Matchings
Naval Research Logistics (NRL), Volume 72, Issue 7, Page 1022-1035, October 2025.ABSTRACT I introduce a new graph‐theoretic property called abundant neighborhoods. This property is motivated by studying the thickness of economic markets. A vertex is, roughly, guaranteed to match if and only if it has an abundant neighborhood.
Muhammad Maaz
wiley +1 more source
Moments, sums of squares, and tropicalization
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We use tropicalization to study the duals to cones of nonnegative polynomials and sums of squares on a semialgebraic set S$S$. The truncated cones of moments of measures supported on the set S$S$ are dual to nonnegative polynomials on S$S$, while “pseudomoments” are dual to sums of squares approximations to nonnegative polynomials.
Grigoriy Blekherman +4 more
wiley +1 more source