Results 131 to 140 of about 56,162 (272)
Decomposing 1-Sperner hypergraphs
A hypergraph is Sperner if no hyperedge contains another one. A Sperner hypergraph is equilizable (resp., threshold) if the characteristic vectors of its hyperedges are the (minimal) binary solutions to a linear equation (resp., inequality) with positive
Boros, Endre +2 more
core
The hybrid approach to Quantum Supervised Machine Learning is compatible with Noisy Intermediate Scale Quantum (NISQ) devices but hardly useful. Pure quantum kernels requiring fault‐tolerant quantum computers are more promising. Examples are kernels computed by means of the Quantum Fourier Transform (QFT) and kernels defined via the calculation of ...
Massimiliano Incudini +2 more
wiley +1 more source
The upper chromatic number of quasi-interval co-hypergraphs
We investigate the structural and colouring properties of clique hyper-graphs of interval graphs called the quasi-interval hypergraphs. We find the conditions when they are interval hypergraphs. The upper chromatic number for the clique co-hypergraphs of
Violeta Prisakaru
doaj
The complexity of recognizing $ABAB$-free hypergraphs [PDF]
The study of geometric hypergraphs gave rise to the notion of $ABAB$-free hypergraphs. A hypergraph $\mathcal{H}$ is called $ABAB$-free if there is an ordering of its vertices such that there are no hyperedges $A,B$ and vertices $v_1,v_2,v_3,v_4$ in this
Gábor Damásdi +3 more
doaj +1 more source
Nonconvexity of the set of hypergraph degree sequences [PDF]
It is well known that the set of possible degree sequences for a graph on $n$ vertices is the intersection of a lattice and a convex polytope. We show that the set of possible degree sequences for a $k$-uniform hypergraph on $n$ vertices is not the ...
Liu, Ricky Ini
core
Quantum‐Enhanced Simulated Annealing Using Rydberg Atoms
This study experimentally demonstrates that a Rydberg hybrid quantum‐classical algorithm, termed as quantum‐enhanced simulated annealing (QESA), provides a computational time advantage over a classical standalone simulated annealing (SA). This scatter plot represents the comparison of QESA versus SA for the 924 graphs with the sizes N=60$N=60$, 80 and ...
Seokho Jeong, Juyoung Park, Jaewook Ahn
wiley +1 more source
Operators on random hypergraphs and random simplicial complexes
Random hypergraphs and random simplicial complexes have potential applications in computer science and engineering. Various models of random hypergraphs and random simplicial complexes on n-points have been studied. Let L be a simplicial complex. In this
Ren, Shiquan, Wu, Chengyuan, Wu, Jie
core
Census and Analysis of Higher-Order Interactions in Real-World Hypergraphs
Complex systems can be more accurately described by higher-order interactions among multiple units. Hypergraphs excel at depicting these interactions, surpassing the binary limitations of traditional graphs.
Xihang Meng +4 more
doaj +1 more source
A note on self-complementary hypergraphs [PDF]
In the paper we describe all self-complementary hypergraphs. It turns out that such hypergraphs exist if and only if the number of vertices of the hypergraph is of the form \(n=2^k\). This answers a conjecture posed by A.
Małgorzata Zwonek
doaj
Note on the Turán number of the $3$-linear hypergraph $C_{13}$ [PDF]
Chao-Liang Tang +3 more
openalex +1 more source

