Results 101 to 110 of about 1,405,425 (255)
Existential closure in uniform hypergraphs
For a positive integer $n$, a graph with at least $n$ vertices is $n$-existentially closed or simply $n$-e.c. if for any set of vertices $S$ of size $n$ and any set $T\subseteq S$, there is a vertex $x\not\in S$ adjacent to each vertex of $T$ and no vertex of $S\setminus T$.
Andrea C. Burgess +2 more
openaire +2 more sources
Finite models for positive combinatorial and exponential algebra
Abstract We use high girth, high chromatic number hypergraphs to show that there are finite models of the equational theory of the semiring of non‐negative integers whose equational theory has no finite axiomatisation, and show this also holds if factorial, fixed base exponentiation and operations for binomial coefficients are adjoined.
Tumadhir Alsulami, Marcel Jackson
wiley +1 more source
Unsupervised hyperlink prediction based on hypergraph random walk
Conventional link prediction methods mainly aim to estimate pairwise relationships between nodes in graph structures, typically addressing single-type interactions.
Yanlin Yang +5 more
doaj +1 more source
Super edge-magic labeling of m-node k-uniform hyperpaths and m-node k-uniform hypercycles
We generalize the notion of the super edge-magic labeling of graphs to the notion of the super edge-magic labeling of hypergraphs. For a hypergraph H with a finite vertex set V and a hyperedge set E, a bijective function f:V∪E→{1,2,3,…,|V|+|E|} is called
Ratinan Boonklurb +2 more
doaj +1 more source
Partitioning 3-uniform hypergraphs
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Ma, Jie, Yu, Xingxing
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ABSTRACT An inversion of a tournament T is obtained by reversing the direction of all edges with both endpoints in some set of vertices. Let inv k ( T ) be the minimum length of a sequence of inversions using sets of size at most k that result in the transitive tournament.
Raphael Yuster
wiley +1 more source
Simpler and Stronger Approaches for Non-Uniform Hypergraph Matching and the Füredi, Kahn, and Seymour Conjecture [PDF]
Georg Anegg +2 more
openalex +1 more source
Homogeneous Multigrid for Hybrid Discretizations: Application to HHO Methods
ABSTRACT We prove the uniform convergence of the geometric multigrid V‐cycle for hybrid high‐order (HHO) and other discontinuous skeletal methods. Our results generalize previously established results for HDG methods, and our multigrid method uses standard smoothers and local solvers that are bounded, convergent, and consistent.
Daniele A. Di Pietro +4 more
wiley +1 more source
Families of triples with high minimum degree are hamiltonian
In this paper we show that every family of triples, that is, a 3-uniform hypergraph, with minimum degree at least contains a tight Hamiltonian ...
Rödl Vojtech, Ruciński Andrzej
doaj +1 more source
EIGENVALUES AND LINEAR QUASIRANDOM HYPERGRAPHS
Let $p(k)$ denote the partition function of $k$. For each $k\geqslant 2$, we describe a list of $p(k)-1$ quasirandom properties that a $k$-uniform hypergraph can have. Our work connects previous notions on linear hypergraph quasirandomness by Kohayakawa,
JOHN LENZ, DHRUV MUBAYI
doaj +1 more source

