과제정보
연구 과제 주관 기관 : National Natural Science Foundation of China, Hainan Association for Science and Technology, NSF of Shanghai
참고문헌
- I. Anwar, Z. Raza, and A. Kashif, Spanning simplicial complexes of uni-cyclic graphs, Algebra Colloq. 22 (2015), no. 4, 707-710. https://doi.org/10.1142/S1005386715000590
- A. Bjorner, Shellable and Cohen-Macaulay partially ordered sets, Trans. Amer. Math. Soc. 260 (1980), no. 1, 159-183. https://doi.org/10.2307/1999881
- A. Bjorner and M. L. Wachs, Shellable nonpure complexes and posets. I, Trans. Amer. Math. Soc. 348 (1996), no. 4, 1299-1327. https://doi.org/10.1090/S0002-9947-96-01534-6
- A. Bjorner and M. L. Wachs, Shellable nonpure complexes and posets. II, Trans. Amer. Math. Soc. 349 (1997), no. 10, 3945-3975. https://doi.org/10.1090/S0002-9947-97-01838-2
- J. Guo, Y.-H. Shen, and T. Wu, Edgewise strongly shellable clutters, J. Algebra Appl. 17 (2018), no. 1, 1850018, 19 pp. https://doi.org/10.1142/S0219498818500184
- M. Hachimori and K. Kashiwabara, Obstructions to shellability, partitionability, and sequential Cohen-Macaulayness, J. Combin. Theory Ser. A 118 (2011), no. 5, 1608-1623. https://doi.org/10.1016/j.jcta.2011.01.011
- M. Hachimori and K. Kashiwabara, Hereditary-shellable simplicial complexes, 2014. http://www.sk.tsukuba.ac.jp/-hachi/archives/ots-free.pdf
- J. Herzog and T. Hibi, Monomial Ideals, Graduate Texts in Mathematics, 260, Springer-Verlag London, Ltd., London, 2011. https://doi.org/10.1007/978-0-85729-106-6
- M. Kokubo and T. Hibi, Weakly polymatroidal ideals, Algebra Colloq. 13 (2006), no. 4, 711-720. https://doi.org/10.1142/S1005386706000666
- F. Mohammadi, Powers of the vertex cover ideal of a chordal graph, Comm. Algebra 39 (2011), no. 10, 3753-3764. https://doi.org/10.1080/00927872.2010.512582
- S. Moradi and F. Khosh-Ahang, Expansion of a simplicial complex, J. Algebra Appl. 15 (2016), no. 1, 1650004, 15 pp. https://doi.org/10.1142/S0219498816500043
- S. Moriyama, Deciding shellability of simplicial complexes with h-assignments, IEICE Trans. Fundam. Electron. Commun. Comput. Sci. E94A (2011), 1238-1241. https://doi.org/10.1587/transfun.E94.A.1238
- J. Oxley, Matroid Theory, second edition, Oxford Graduate Texts in Mathematics, 21, Oxford University Press, Oxford, 2011. https://doi.org/10.1093/acprof:oso/9780198566946.001.0001
- J. S. Provan and L. J. Billera, Decompositions of simplicial complexes related to di-ameters of convex polyhedra, Math. Oper. Res. 5 (1980), no. 4, 576-594. https://doi.org/10.1287/moor.5.4.576
- R. Rahmati-Asghar and S. Moradi, On the Stanley-Reisner ideal of an expanded sim-plicial complex, Manuscripta Math. 150 (2016), no. 3-4, 533-545. https://doi.org/10.1007/s00229-016-0822-6
- R. P. Stanley, Combinatorics and Commutative Algebra, second edition, Progress in Mathematics, 41, Birkhauser Boston, Inc., Boston, MA, 1996.
- X. Zheng, Resolutions of facet ideals, Comm. Algebra 32 (2004), no. 6, 2301-2324. https://doi.org/10.1081/AGB-120037222