Algebraic shifting of cyclic polytopes and stacked polytopes. - Satoshi Murai (Discret. Math., 2007)

Kruskal-Katona type theorems for clique complexes arising from chordal and strongly chordal graphs. - Jürgen Herzog; Satoshi Murai; Xinxian Zheng; Takayuki Hibi; Ngô Viêt Trung (Comb., 2008)

A combinatorial proof of Gotzmann's persistence theorem for monomial ideals. - Satoshi Murai (Eur. J. Comb., 2008)

Face Vectors of Two-Dimensional Buchsbaum Complexes. - Satoshi Murai (Electron. J. Comb., 2009)

Algebraic shifting of strongly edge decomposable spheres. - Satoshi Murai (J. Comb. Theory A, 2010)

On Face Vectors of Barycentric Subdivisions of Manifolds. - Satoshi Murai (SIAM J. Discret. Math., 2010)

Spheres arising from multicomplexes. - Satoshi Murai (J. Comb. Theory A, 2011)

Collection of abstracts of the Workshop on Triangulations in Geometry and Topology at CG Week 2014 in Kyoto. - Jonathan Spreer; Uli Wagner 001; Benjamin A. Burton; Satoshi Murai; Eric Sedgwick; Henry Segerman (CoRR, 2014)

On Stacked Triangulated Manifolds. - Basudeb Datta; Satoshi Murai (Electron. J. Comb., 2017)

Local h-Vectors of Quasi-Geometric and Barycentric Subdivisions. - Martina Juhnke-Kubitzke; Satoshi Murai; Richard Sieg (Discret. Comput. Geom., 2019)

Exceptional Balanced Triangulations on Surfaces. - Steven Klee; Satoshi Murai; Yusuke Suzuki (Graphs Comb., 2019)

Strictness of the log-concavity of generating polynomials of matroids. - Satoshi Murai; Takahiro Nagaoka; Akiko Yazawa (J. Comb. Theory A, 2021)

Surface Normals and Shape From Water. - Meng-Yu Jennifer Kuo; Satoshi Murai; Ryo Kawahara; Shohei Nobuhara; Ko Nishino (IEEE Trans. Pattern Anal. Mach. Intell., 2022)

Ehrhart quasi-polynomials and parallel translations. - Akihiro Higashitani; Satoshi Murai; Masahiko Yoshinaga (Comb. Theory, 2025)