Title | ||
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The H*-Polynomials Of Locally Anti-Blocking Lattice Polytopes And Their Gamma-Positivity |
Abstract | ||
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A lattice polytope P subset of R-d is called a locally anti-blocking polytope if for any closed orthant R-epsilon(d) inR(d) ,P boolean AND R epsilon d is unimodularly equivalent to an anti-blocking polytope by reflections of coordinate hyperplanes. We give a formula for the h*-polynomials of locally anti-blocking lattice polytopes. In particular, we discuss the gamma-positivity ofh*-polynomials of locally anti-blocking reflexive polytopes. |
Year | DOI | Venue |
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2021 | 10.1007/s00454-020-00236-6 | DISCRETE & COMPUTATIONAL GEOMETRY |
Keywords | DocType | Volume |
Lattice polytope, Unconditional polytope, Anti-blocking polytope, Locally anti-blocking polytope, Reflexive polytope, h*-polynomial, g-positive | Journal | 66 |
Issue | ISSN | Citations |
2 | 0179-5376 | 0 |
PageRank | References | Authors |
0.34 | 0 | 2 |
Name | Order | Citations | PageRank |
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Hidefumi Ohsugi | 1 | 27 | 10.42 |
akiyoshi tsuchiya | 2 | 1 | 3.12 |