Results 131 to 140 of about 56,162 (272)

Decomposing 1-Sperner hypergraphs

open access: yes, 2018
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  

Toward Useful Quantum Kernels

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 12, December 2025.
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

open access: yesLe Matematiche, 1997
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science
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]

open access: yes, 2012
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

open access: yesAdvanced Quantum Technologies, Volume 8, Issue 12, December 2025.
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

open access: yes, 2017
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

open access: yesBig Data Mining and Analytics
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]

open access: yesOpuscula Mathematica, 2005
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]

open access: green, 2021
Chao-Liang Tang   +3 more
openalex   +1 more source

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