Algebraic combinatorics on convex polytopes. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan, July 4--6, 2000 (Q2756601)

The articles of this volume will not be indexed individually.NEWLINENEWLINENEWLINE Contents: Mikiya Masuda, From convex polytopes to multi-polytopes (1-15); Satoshi Kamei, Singular Euclidean structures on a simplicial complex with weighted edges (Japanese) (16-30); Masahiro Hachimori, Combinatorial decomposition of simplicial 3-spheres and bridge indices of knots (Japanese) (31-50); Shigeru Kuroda, The infiniteness of the SAGBI (subalgebra analogue to Gröbner bases for ideals) bases for certain invariant rings (Japanese) (51-62); Takayuki Ishizeki, Gröbner bases of acyclic directed graphs and reductions in Conti-Traverso algorithm (63-71); Yasuko Matsui, Integer programming and Gröbner bases (Japanese) (72-76); Fumihiko Takeuchi, Nonregular triangulations, view graphs of triangulations, and linear programming duality (77-85); Hidefumi Ohsugi, Toric ideals and nonregular triangulations of convex polytopes (86-106); Naoki Terai, The Eisenbud-Goto inequality in Stanley-Reisner rings (Japanese) (107-122); Takeshi Kajiwara, Abelian surfaces in toric 4-folds (123-131).