1. The Turán density of short tight cycles
   2025/06/03 by Levente Bodnár, Jared León, Bodnár, Levente +5 · 2 citations
   Computer Science · Mathematics · #05C35 #05C65 #05D99 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #Markov Chains and Monte Carlo Methods
2. Hypergraphs of arbitrary uniformity with vanishing codegree Turán density
   2025/03/30 by Sarkies, James · 1 citation
   #05C35 #05C65 #Combinatorics (math.CO) #FOS: Mathematics
3. An improved hypergraph Mantel's Theorem
   2025/03/18 by Iľkovič, Daniel, Yan, Jun · 2 citations
   #05C35 #05C65 #94A17 #Combinatorics (math.CO) #FOS: Mathematics
4. The Scarf complex of squarefree powers, symbolic powers of edge ideals, and cover ideals of graphs
   2025/03/17 by Chau, Trung, Erey, Nursel, Maithani, Aryaman · 2 citations
   #05C65 #05C75 #05E40 #13D02 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
5. Multi-view Spectral Clustering on the Grassmannian Manifold With Hypergraph Representation
   2025/03/08 by Yang, Murong, Ying, Shihui, Xu, Xin-Jian +1 · 2 citations
   #05C62 #05C65 #FOS: Computer and information sciences #Machine Learning (cs.LG) #Social and Information Networks (cs.SI)
6. Cyclic subsets in regular Dirac graphs
   2025/03/03 by Nemanja Draganić, Peter Keevash, Draganić, Nemanja +3 · 3 citations
   Computer Science · Engineering · Mathematics · #05C35 #05C65 #05C70 #Advanced Graph Theory Research #Combinatorics (math.CO) #FOS: Mathematics #Limits and Structures in Graph Theory #graph theory and CDMA systems
7. Sheaf theory: from deep geometry to deep learning
   2025/02/21 by Ayzenberg, Anton, Gebhart, Thomas, Magai, German +1 · 1 voice · 9 citations
   #01A65 #05C22 #05C50 (Primary) 68T09 #05C60 #05C65 #06A06 #06A11 #13P20 #18C50 (Secondary) #54B40 #55-08 #55N30 #55U15 #68R12 #68T07 #68T30 #80M35 #91D30 #94C15 #A.1 #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #F.2.1 #FOS: Computer and information sciences #FOS: Mathematics #G.1.10 #G.1.3 #G.2.2 #I.2.4 #I.2.6 #K-Theory and Homology (math.KT) #Machine Learning (cs.LG)
8. Minimal cellular resolutions of monomial ideals with five generators and their Artinian reductions
   2025/02/10 by Chau, Trung · 1 citation
   #05C65 #05C75 #05E40 #13D02 (Primary) #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics
9. Monomial ideals with minimal generalized Barile-Macchia resolutions
   2024/12/16 by Trung Chau, Chau, Trung, Huy Tài Hà +3 · 1 citation
   Computer Science · Mathematics · #05C65 #05C75 #05E40 #13D02 (Primary) #13F55 #Advanced Combinatorial Mathematics #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
10. When entropy meets Turán: new proofs and hypergraph Turán results
    2024/12/11 by Chao, Ting-Wei, Yu, Hung-Hsun Hans · 3 citations
    #05C35 #05C65 #94A17 #Combinatorics (math.CO) #FOS: Mathematics
11. On Zarankiewicz's Problem for Intersection Hypergraphs of Geometric Objects
    2024/12/09 by Chan, Timothy M., Keller, Chaya, Smorodinsky, Shakhar · 1 citation
    #05C35 #05C65 #Combinatorics (math.CO) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics
12. Bounds on the connectivity of the independence complexes of hypergraphs
    2024/11/15 by Demet Taylan, Taylan, Demet · 1 citation
    Computer Science · #05C65 #05C69 #55U10 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Data Visualization and Analytics #FOS: Mathematics #Topological and Geometric Data Analysis
13. The Turán Density of 4-Uniform Tight Cycles
    2024/11/04 by Sankar, Maya · 1 citation
    #05C65 #Combinatorics (math.CO) #FOS: Mathematics
14. Counterexample to Babai's lonely colour conjecture
    2024/10/07 by Davies, James, Hatzel, Meike, Yepremyan, Liana · 1 citation
    #05C15 #05C25 #05C65 #05E16 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Group Theory (math.GR)
15. The codegree Turán density of 3-uniform tight cycles
    2024/08/05 by Piga, Simón, Sanhueza-Matamala, Nicolás, Schacht, Mathias · 1 citation
    #05C65 #05D99 #Combinatorics (math.CO) #FOS: Mathematics
16. An Efficient Regularity Lemma for Semi-Algebraic Hypergraphs
    2024/07/22 by Rubin, Natan · 1 citation
    #05C65 #05D10 #52A35 #52C35 #52C45 #Combinatorics (math.CO) #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #FOS: Mathematics #G.2.1 #G.2.2
17. On 3-graphs with vanishing codegree Turán density
    2024/07/11 by Ding, Laihao, Lamaison, Ander, Liu, Hong +2 · 1 citation
    #05C35 #05C65 #Combinatorics (math.CO) #FOS: Mathematics
18. Spanning spheres in Dirac hypergraphs
    2024/07/08 by Illingworth, Freddie, Lang, Richard, Müyesser, Alp +2 · 1 citation
    #05C35 #05C65 #05C70 #Combinatorics (math.CO) #FOS: Mathematics
19. The largest Laplacian eigenvalue and the balancedness of simplicial complexes
    2024/05/29 by Yi-Zheng Fan, Hui-Feng Wu, Fan, Yi-Zheng +3 · 3 citations
    Computer Science · Mathematics · #05C65 #05E45 #47J10 #55U05 #Combinatorics (math.CO) #FOS: Mathematics #Geometric and Algebraic Topology #Graph theory and applications #Topological and Geometric Data Analysis
20. Hypergraphs accumulate
    2024/05/13 by Conlon, David, Schülke, Bjarne · 1 citation
    #05C35 #05C65 #05D05 #05D99 #Combinatorics (math.CO) #FOS: Mathematics
21. Minimal cellular resolutions of powers of graphs
    2024/04/05 by Chau, Trung, Hà, Tài Huy, Maithani, Aryaman · 1 citation
    #05C65 #05C75 #05E40 #13D02 (Primary) #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics
22. Localized Version of Hypergraph Erdos-Gallai Theorem
    2024/04/01 by Zhao, Kai, Zhang, Xiao-Dong · 6 citations
    #05C35 #05C65 #Combinatorics (math.CO) #FOS: Mathematics
23. Topological Optimal Transport for Geometric Cycle Matching
    2024/03/28 by Zhang, Stephen Y, Stumpf, Michael P H, Needham, Tom +1 · 1 citation
    #05C65 #49Q15 #49Q22 #55N31 #62R40 #Algebraic Topology (math.AT) #Computational Geometry (cs.CG) #FOS: Computer and information sciences #FOS: Mathematics #Metric Geometry (math.MG)
24. Mutual-visibility problems in Kneser and Johnson graphs
    2024/03/22 by Ekinci, Gülnaz Boruzanli, Bujtás, Csilla · 3 citations
    #05C12 #05C38 #05C65 #05C76 #Combinatorics (math.CO) #FOS: Mathematics
25. Calculus of variations on hypergraphs
    2024/03/19 by Shao, Mengqiu, Tian, Yulu, Zhao, Liang · 1 citation
    #05C65 #35A15 #Analysis of PDEs (math.AP) #Combinatorics (math.CO) #FOS: Mathematics
26. Perfect stable regularity lemma and slice-wise stable hypergraphs
    2024/02/12 by Chernikov, Artem, Towsner, Henry · 4 citations
    #03C45 #05C35 #05C65 #05C75 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics #Logic (math.LO)
27. Robust Hamiltonicity
    2023/12/23 by Joos, Felix, Lang, Richard, Sanhueza-Matamala, Nicolás · 2 citations
    #05C35 #05C45 #05C65 #05C70 #05D15 #05D40 #Combinatorics (math.CO) #FOS: Mathematics #G.2.2
28. The spectra of Laplace operators on covering simplicial complexes
    2023/12/20 by Fan, Yi-Zheng, Song, Yi-Min, Wang, Yi · 1 citation
    #05C65 #05E45 #55U05 #Combinatorics (math.CO) #FOS: Mathematics
29. Excluded minors of interval positroids that are paving matroids
    2023/12/06 by Park, Hyungju · 1 citation
    #05B35 #05C65 #Combinatorics (math.CO) #FOS: Mathematics
30. Dense, irregular, yet always graphic 3-uniform hypergraph degree sequences
    2023/12/01 by Li, Runze, Miklos, Istvan · 1 citation
    #05C07 #05C65 #05C85 #Combinatorics (math.CO) #Discrete Mathematics (cs.DM) #FOS: Computer and information sciences #FOS: Mathematics

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