1. On a class of toric manifolds arising from simplicial complexes
   2025/06/16 by Ivan Limonchenko, Marinko Timotijević, Limonchenko, Ivan +3 · 1 citation
   Computer Science · Mathematics · #05E45 #13F55 #52B12 #55N10 #57S12 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
2. From Persistence to Resilience: New Betti Numbers for Analyzing Robustness in Simplicial Complex Networks
   2025/05/15 by Hernández-García, Pablo, Serrano, Daniel Hernández, Gómez, Darío Sánchez · 1 citation
   #05C82 #05E45 #92C42 #Algebraic Topology (math.AT) #FOS: Mathematics #Primary 55N31 #Secondary 55U10
3. Strict Erdős-Ko-Rado theorems for simplicial complexes
   2025/03/19 by Denys Bulavka, Bulavka, Denys, Russ Woodroofe +1 · 1 citation
   Computer Science · Mathematics · #05D05 #05E45 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
4. Minimum degree in simplicial complexes
   2025/01/02 by Christian Reiher, Reiher, Christian, Bjarne Schülke +1 · 1 citation
   Computer Science · Mathematics · #05D05 #05E45 #55U10 #Advanced Algebra and Logic #Combinatorics (math.CO) #FOS: Mathematics #Graph theory and applications #Topological and Geometric Data Analysis
5. Chromatic numbers, Buchstaber numbers and chordality of Bier spheres
   2024/12/30 by Limonchenko, Ivan, Vavpetič, Aleš · 1 citation
   #05C15 #05E45 #13F55 #52B12 #57S12 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics
6. Simplicial degree d self-maps on n-spheres
   2024/09/02 by Basak, Biplab, Gupta, Raju Kumar, Trivedi, Ayushi · 2 citations
   #05E45 #52B70 #55M25 #57Q15 #FOS: Mathematics #Geometric Topology (math.GT)
7. Transversal numbers of simplicial polytopes, spheres, and pure complexes
   2024/07/29 by Isabella Novik, Novik, Isabella, Hailun Zheng +1 · 1 citation
   Computer Science · Mathematics · #05E45 #52B05 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Mathematics and Applications #Topological and Geometric Data Analysis
8. The largest Laplacian eigenvalue and the balancedness of simplicial complexes
   2024/05/29 by Yi-Zheng Fan, Fan, Yi-Zheng, Hui-Feng Wu +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
9. Lefschetz properties of squarefree monomial ideals via Rees algebras
   2024/04/18 by Thiago Holleben, Holleben, Thiago · 1 citation
   Mathematics · #05E40 #05E45 #13A30 #13E10 #13F55 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
10. Topology and monoid representations II: left regular bands of groups and Hsiao's monoid of ordered G-partitions
    2024/04/04 by Steinberg, Benjamin · 2 citations
    #05E10 #05E45 #16G99 #16S37 #20M25 #20M30 #20M50 #FOS: Mathematics #Group Theory (math.GR) #Representation Theory (math.RT) #Rings and Algebras (math.RA)
11. Local h-polynomials, uniform triangulations and real-rootedness
    2024/02/09 by Athanasiadis, Christos A. · 1 citation
    #05E45 #Combinatorics (math.CO) #FOS: Mathematics
12. 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
13. Graded Betti numbers of a hyperedge ideal associated to join of graphs
    2023/11/13 by Sourav Kanti Patra, Patra, Sourav Kanti, Amit Roy +1 · 1 citation
    Computer Science · Mathematics · Medicine · #05E45 #13F55 #Cholinesterase and Neurodegenerative Diseases #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Topological and Geometric Data Analysis
14. Fröberg's Theorem, vertex splittability and higher independence complexes
    2023/11/04 by Deshpande, Priyavrat, Roy, Amit, Singh, Anurag +1 · 4 citations
    #05E45 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
15. Irreducibility of Markov Chains on simplicial complexes, the Spectrum of the Discrete Hodge Laplacian and Homology
    2023/10/11 by Eidi, Marzieh, Mukherjee, Sayan · 2 citations
    #00-02 #05E45 #15B51 #37A30 #55N99 #55U10 #57Z25 #58J51 #60B10 #60J05 #60J10 #82C41 #Algebraic Topology (math.AT) #FOS: Mathematics #Probability (math.PR) #Spectral Theory (math.SP)
16. Homological algebra and poset versions of the Garland method
    2023/08/02 by Babson, Eric, Welker, Volkmar · 1 citation
    #05E45 #20F32 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)
17. The weak Lefschetz property of whiskered graphs
    2023/06/07 by Cooper, Susan M., Faridi, Sara, Holleben, Thiago +2 · 1 citation
    #05E45 #13E10 #13F20 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
18. Differences in regularities of a power and its integral closure and symbolic power
    2023/06/01 by Swanson, Irena, Yassemi, Siamak · 1 citation
    #05E45 #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 13H10 #Secondary: 05E40
19. Topology of Cut Complexes of Graphs
    2023/04/26 by Margaret M. Bayer, Bayer, Margaret, Mark Denker +9 · 3 citations
    Computer Science · Mathematics · #05C69 #05E18 #05E45 #57M15 #57Q70 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
20. Codes over the non-unital non-commutative ring E using simplicial complexes
    2023/04/13 by Vidya Sagar, Ritumoni Sarma, Sagar, Vidya +1 · 2 citations
    Computer Science · Engineering · #05E45 #16L30 #94B05 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Computer and information sciences #Information Theory (cs.IT) #graph theory and CDMA systems
21. On the spectrum of Random Simplicial Complexes in Thermodynamic Regime
    2023/01/22 by Adhikari, Kartick, S., Kiran Kumar A., Saha, Koushik · 1 citation
    #05C80 #05E45 #60B10 #60B20 #FOS: Mathematics #Probability (math.PR)
22. Weighted simple games and the topology of simplicial complexes
    2022/10/18 by Brooks, Anastasia, Sarcevic, Franjo, Volic, Ismar · 1 citation
    #05E45 #91B12 #91F10 #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #Physics and Society (physics.soc-ph)
23. Total Cut Complexes of Graphs
    2022/09/27 by Bayer, Margaret, Denker, Mark, Milutinović, Marija Jelić +3 · 5 citations
    #05C69 #05E45 #57M15 #57Q70 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics
24. Bubble Lattices II: Combinatorics
    2022/08/29 by Thomas McConville, Henri Mühle, McConville, Thomas +1 · 1 citation
    Mathematics · #05E45 #06A07 #06B99 #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #FOS: Mathematics #Random Matrices and Applications
25. Subword Complexes and Kalai's Conjecture on Reconstruction of Spheres
    2022/06/30 by Ceballos, Cesar, Doolittle, Joseph · 1 citation
    #05E45 #20F55 #57M60 #Combinatorics (math.CO) #FOS: Mathematics
26. Chain enumeration, partition lattices and polynomials with only real roots
    2022/05/08 by Athanasiadis, Christos A., Kalampogia-Evangelinou, Katerina · 4 citations
    #05A05 #05A18 #05E45 #06A07 #26C10 #Combinatorics (math.CO) #FOS: Mathematics
27. Vertex numbers of simplicial complexes with free abelian fundamental group
    2021/09/24 by Frick, Florian, Superdock, Matt · 1 citation
    #05E45 #20F05 #57M05 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
28. Chordal graphs, higher independence and vertex decomposable complexes
    2021/06/21 by Abdelmalek, Fred M., Deshpande, Priyavrat, Goyal, Shuchita +2 · 2 citations
    #05E45 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
29. Symmetric decompositions, triangulations and real-rootedness
    2021/03/05 by Athanasiadis, Christos A., Tzanaki, Eleni · 1 citation
    #05E45 #Combinatorics (math.CO) #FOS: Mathematics
30. On Vietoris--Rips complexes of hypercube graphs
    2021/03/01 by Adamaszek, Michał, Adams, Henry · 1 citation
    #05E45 #55N31 #55P10 #55U10 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics

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