Results 41 to 50 of about 10,205 (230)
A Note on Set Systems with no Union of Cardinality 0 modulo m [PDF]
Discrete Mathematics & Theoretical Computer Science, 2003 Alon, Kleitman, Lipton, Meshulam, Rabin and Spencer (Graphs. Combin. 7 (1991), no. 2, 97-99) proved, that for any hypergraph F ={F 1,F 2,…, F d(q-1)+1 }, where q is a prime-power, and d denotes the maximal degree of the hypergraph, there exists
Vince Grolmusz
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Hypergraph Turán Problems in ℓ2-Norm
, 2021 There are various different notions measuring extremality of hypergraphs. In this survey we compare the recently introduced notion of the codegree squared extremal function with the Turán function, the minimum codegree threshold and the uniform Turán ...
Clemen, Felix Christian +2 more
core
Magic of quantum hypergraph states [PDF]
QuantumMagic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states, playing a fundamental role in quantum state complexity and universal fault-tolerant quantum computing.
Junjie Chen, Yuxuan Yan, You Zhou
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The Electronic Journal of Combinatorics, 2016 A hypergraph $H$ is called universal for a family $\mathcal{F}$ of hypergraphs, if it contains every hypergraph $F \in \mathcal{F}$ as a copy. For the family of $r$-uniform hypergraphs with maximum vertex degree bounded by $\Delta$ and at most $n$ vertices any universal hypergraph has to contain $\Omega(n^{r-r/\Delta})$ many edges.
Samuel Hetterich +2 more
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Random Structures & Algorithms, 2012 AbstractThis paper is motivated by the question of how global and dense restriction sets in results from extremal combinatorics can be replaced by less global and sparser ones. The result we consider here as an example is Turán's theorem, which deals with graphs G = ([n],E) such that no member of the restriction set \documentclass{article} \usepackage ...
Peter Allen 0001 +3 more
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Hypergraph Turán Problems in ℓ2-Norm
, 2022 There are various different notions measuring extremality of hypergraphs. In this survey we compare the recently introduced notion of the codegree squared extremal function with the Turán function, the minimum codegree threshold and the uniform Turán ...
Clemen, Felix Christian +2 more
core
Nonclassical nullifiers for quantum hypergraph states [PDF]
QuantumQuantum hypergraph states form a generalisation of the graph state formalism that goes beyond the pairwise (dyadic) interactions imposed by remaining inside the Gaussian approximation.
Abhijith Ravikumar +2 more
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Discussiones Mathematicae Graph Theory, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Christian Garske +2 more
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IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2023 Cross-modal remote sensing (RS) image retrieval aims to retrieve RS images using other modalities (e.g., text) and vice versa. The relationship between objects in the RS image is complex, i.e., the distribution of multiple types of objects is uneven ...
Fanglong Yao +6 more
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Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
Advanced Science, EarlyView.Cancer immunotherapy faces challenges in predicting treatment responses and understanding resistance mechanisms. Artificial intelligence (AI) and machine learning (ML) offer powerful solutions for cancer immunotherapy in patient stratification, biomarker discovery, treatment strategy optimization, and foundation model development.
Xinchao Wu +4 more
wiley +1 more source