Publications by Masahiro Hachimori
- Preprints
- Obstructions to shellability, partitionability, and
sequential Cohen-Macaulayness. (Jan 2010)
[Joint work with Kenji Kashiwabara]
(PDF file)
(abstract)
- Structure of convex geometries. (Nov 2006)
[Joint work with Florent Domenach]
- Orientations on simplicial complexes and cubical complexes. (Oct 2006)
(PDF file)
(abstract)
- Published papers
- The max-flow min-cut property of 2-dimensional affine convex geometries.
[Joint work with Masataka Nakamura].
Discrete Mathematics 308 (2008), 1674-1689.
(abstract)
- A note on shellability and acyclic orientations.
[Joint work with Sonoko Moriyama].
Discrete Mathematics 308 (2008), 2379-2381.
(abstract)
- A factorization theorem of characteristic polynomials of convex geometries.
[Joint work with Masataka Nakamura],
Annals of Combinatorics,
11 (2007), 39-46.
(abstract)
- Decompositions of two-dimensional simplicial complexes,
Discrete Mathematics,
308 (2008), 2307-2312.
(abstract)
- On the topology of the free complexes of convex geometries,
Discrete Mathematics, 307 (2007) 274-279.
[Joint work with Kenji Kashiwabara]
(abstract)
- Note: h-Assignments of simplicial complexes and reverse search,
Discrete Applied Mathematics, 154 (2006), 594-597.
[Joint work with Sonoko Moriyama]
(abstract)
- Tangle sum and constructible spheres,
Journal of Knot Theory and Its Ramifications, 13 (2004), 373-383.
[Joint work with
Koya Shimokawa],
(abstract)
-
Non-constructible complexes and the bridge index.
[Joint work with
Richard Ehrenborg],
European Journal of Combinatorics,
22 (2001), 475-491.
(abstract)
- Deciding constructibility of 3-balls with at most two interior vertices
Discrete Mathematics,
232 (2001), 47-58.
(abstract)
- Decompositions of balls and spheres with knots consisting of
few edges.
Mathematische Zeitschrift,
235-1 (2000), 159-171.
[Joint work with
Günter M. Ziegler],
(abstract)
- Non-constructible simplicial balls and a way of testing constructibility.
Discrete & Computational Geometry,
22-2 (1999), 223-230.
(abstract)
» REMARK: please read this file: Errata
- Constructible complexes and recursive division of posets.
Theoretical Computer Science,
235-2 (2000), 225-237.
(abstract)
- Published models
- Other writings
- Orientations of graphs associated to cell complexes and optimum solutions (in Japanese)
(Manuscript for the proceedings of the workshop: ``Mathematical Programming in the 21st Century: Optimization Modeling and Algorithms'' (2008.7.23-25))
Dec. 2008.
(PDF file)
- On the rooted circuits of affine configurations with kernel (in Japanese)
(Manuscript for the proceedings of the workshop: ``Captivation of Convexity; Fascination of Nonconvexity'' (2003.7.16-18))
Nov. 2003.
(gzipped PS file,
PDF file)
- Combinatorial decomposition of simplicial 3-spheres and the bridge indices of konts (in Japanese)
(Manuscript for the proceedings of the workshop: ``Algebraic Combinatorics on Polytopes'' (2000.7.4-6))
Aug. 2000 (updated on Sep. 2000)
(gzipped PS file,
PDF file)
- Non-flippable digraph without making directed 3-cycles.
(Jan 8, 1998 --- revised on May 30, 1999)
(PS file(82K),
gzipped PS file(26K),
HTML)
- Doctoral thesis
- Master's thesis
- Translation
-
``Totsu tamentai no suugaku''
Japanese translation of:
Günter M. Ziegler, Lectures on Polytopes
(Springer-Verlag, GTM 152, Second revised printing 1998)
with Yoshio Okamoto.
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