1. Initially Cohen-Macaulay Modules
   2025/10/30 by Namiq, Mohammed Rafiq · 1 citation
   #05C07 #05C90 #13C15 #13F55 #Commutative Algebra (math.AC) #FOS: Mathematics #Primary 13C70 #Secondary 05E40
2. 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
3. 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
4. Full subcomplexes of Bier spheres
   2025/03/07 by Choi, Suyoung, Yoon, Younghan, Yu, Seonghyeon · 1 citation
   #13F55 #52B05 #55U10 #57S12 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics
5. Realizing resolutions of powers of extremal ideals
   2025/02/13 by Chau, Trung, Duval, Art M., Faridi, Sara +3 · 2 citations
   #05E40 #13D02 #13F55 #52B20 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
6. 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
7. Graph colouring and Steenrod's problem for Stanley-Reisner rings
   2025/01/17 by Donald Stanley, Stanley, Donald, Masahiro Takeda +1 · 3 citations
   Mathematics · Social Sciences · #05C15 #13F55 #55N10 #55S10 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Mathematics Education and Teaching Techniques #Mathematics and Applications
8. Stanley-Reisner ideals of higher independence complexes of chordal graphs
   2025/01/02 by Das, Kanoy Kumar, Roy, Amit, Saha, Kamalesh · 2 citations
   #05C05 #05E40 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
9. 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
10. 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
11. Powers of Edge Ideals with Linear Quotients
    2024/12/04 by Etan Basser, Basser, Etan, Rachel N. Diethorn +4 · 1 citation
    Computer Science · Mathematics · #05E40 #13D02 #13F55 #13P20 #Advanced Algebra and Logic #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
12. 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
13. 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
14. Unexpected but recurrent phenomena for Quot and Hilbert schemes of points
    2024/03/05 by Giovenzana, Franco, Giovenzana, Luca, Graffeo, Michele +1 · 1 citation
    #13D10 #13F55 #13P10 #14C05 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
15. Castelnuovo-Mumford regularity of the closed neighborhood ideal of a graph
    2024/01/09 by Shiny Chakraborty, Chakraborty, Shiny, Amit Roy +4 · 2 citations
    Mathematics · #05E40 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
16. Equivariant Hilbert and Ehrhart series under translative group actions
    2023/12/21 by Alessio D’Alì, Emanuele Delucchi, D'Alì, Alessio +1 · 1 citation
    Mathematics · #05C15 #13F55 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics #Primary: 05E18 #Representation Theory (math.RT) #Secondary: 52B20
17. h-vectors of edge rings of odd-cycle compositions
    2023/11/22 by Kieran Bhaskara, Akihiro Higashitani, Bhaskara, Kieran +3 · 1 citation
    Mathematics · #05E40 Secondary #13D40 (Primary) 13P10 #13F55 #13F65 #Algebraic structures and combinatorial models #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
18. Graded Betti numbers of a hyperedge ideal associated to join of graphs
    2023/11/13 by Sourav Kanti Patra, Amit Roy, Patra, Sourav Kanti +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
19. 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
20. The weak Lefschetz property of artinian algebras associated to paths and cycles
    2023/10/22 by Nguyen, Hop D., Tran, Quang Hoa · 1 citation
    #05C31 #13E10 #13F20 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
21. The weak Lefschetz property and mixed multiplicities of monomial ideals
    2023/06/23 by Holleben, Thiago · 1 citation
    #05E40 #13E10 #13F20 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
22. 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
23. A counterexample to the parity conjecture
    2023/05/29 by Giovenzana, Franco, Giovenzana, Luca, Graffeo, Michele +1 · 2 citations
    #13F55 #13P10 (Secondary) #14C05 (Primary) 13D10 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics
24. Universal complexes in toric topology
    2022/11/27 by Baralić, Djordje, Vavpetič, Aleš, Vučić, Aleksandar · 1 citation
    #13F55 #55U05 #FOS: Mathematics #Geometric Topology (math.GT) #Primary: 57S12 #Secondary: 57Q70
25. Graded local cohomology of modules over semigroup rings
    2022/11/19 by Yu, Byeongsu, Matusevich, Laura Felicia · 1 citation
    #05E40 #13D45 #13F55 #13F65 #14M25 #20M25 (Primary) 13C14 #52B20 (Secondary) #Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics
26. Root polytopes, tropical types, and toric edge ideals
    2022/09/20 by Ayah Almousa, Anton Dochtermann, Almousa, Ayah +3 · 1 citation
    Computer Science · Mathematics · #13D02 #13F55 #13F65 #14T90 #Advanced Combinatorial Mathematics #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
27. Generalized virtual polytopes and quasitoric manifolds
    2022/03/31 by Khovanskii, Askold, Limonchenko, Ivan, Monin, Leonid · 1 citation
    #13F55 #55N45 #57S12 #Algebraic Topology (math.AT) #Combinatorics (math.CO) #FOS: Mathematics
28. How is a graph not like a manifold?
    2022/03/20 by Anton Ayzenberg, Ayzenberg, Anton, Mikiya Masuda +3 · 1 citation
    Computer Science · Mathematics · #06A06 (Primary) 55P91 #13F55 #13H10 #55N91 #55R20 (Secondary) #55T25 #55U10 #57R91 #57S12 #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #Topological and Geometric Data Analysis
29. Linearity of Free Resolutions of Monomial Ideals
    2022/01/27 by Hailong Dao, David Eisenbud, Dao, Hailong +1 · 1 citation
    Computer Science · Mathematics · #13C05 #13D02 #13F55 #Combinatorics (math.CO) #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Topological and Geometric Data Analysis
30. 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

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