Results 101 to 110 of about 1,981 (215)
On ABC spectral radius of uniform hypergraphs [PDF]
Given a $k$-uniform hypergraph $G$ with vertex set $[n]$ and edge set $E(G)$, the ABC tensor $\mathcal{ABC}(G)$ of $G$ is the $k$-order $n$-dimensional tensor with \[ \mathcal{ABC}(G)_{i_1, \dots, i_k}= \begin{cases} \dfrac{1}{(k-1)!}\sqrt[k ...
Zhou, Bo, Lin, Hongying
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Partial Total Domination in Hypergraphs
This paper establishes fundamental results for partial total domination in hypergraphs. We present tight bounds for the partial total domination number in k-uniform hypergraphs, demonstrate relationships with classical domination parameters, and provide ...
Abdulkafi Sanad, Chaoqian Li
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Almost Self-Complementary 3-Uniform Hypergraphs
It is known that self-complementary 3-uniform hypergraphs on n vertices exist if and only if n is congruent to 0, 1 or 2 modulo 4. In this paper we define an almost self-complementary 3-uniform hypergraph on n vertices and prove that it exists if and ...
Kamble Lata N. +2 more
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Leveraging Artificial Intelligence and Large Language Models for Cancer Immunotherapy
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
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On judicious partitions of uniform hypergraphs
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Jianfeng Hou, Shufei Wu, Guiying Yan
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We propose MSSM+, an extension of multiscale structural mapping (MSSM), together with surface supervertex mapping (SSVM) and a Supervertex Vision Transformer (SV‐ViT). Together, these methods exhibited better performance in detecting Alzheimer's disease and less variability across MR vendors than MSSM.
Geonwoo Baek +3 more
wiley +1 more source
Transversals in 4-uniform linear hypergraphs [PDF]
Let H be a hypergraph of order nH= |V(/H)| and size mH= |E(H)|. The transversal number τ (H) of a hypergraph H is the minimum number of vertices that intersect every edge of H.
Yeo, Anders; id_orcid +1 more
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Two‐Round Ramsey Games on Random Graphs
ABSTRACT Motivated by the investigation of sharpness of thresholds for Ramsey properties in random graphs, Friedgut, Kohayakawa, Rödl, Ruciński and Tetali introduced two variants of a single‐player game whose goal is to colour the edges of a random graph, in an online fashion, so as not to create a monochromatic triangle.
Yahav Alon +2 more
wiley +1 more source
Independence in 5-uniform hypergraphs
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Alex Eustis +2 more
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Analytic methods for uniform hypergraphs [PDF]
This paper presents some analytic methods for studying uniform hypergraphs. Its starting point is the spectral theory of 2-graphs, in particular, the largest and the smallest eigenvalues λ and λmin of 2-graphs. First, these two parameters are extended to
Nikiforov, Vladimir
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