The Best Constant of Discrete Sobolev Inequality with Hamilton Path on Tetra-, Hexa- and Octa- Polyhedra

DOI

Bibliographic Information

Other Title
  • 正4, 6, 8面体上のハミルトン閉路に対応する離散ソボレフ不等式の最良定数

Abstract

<p>Abstract. We consider a classical mechanical model of tetra-, hexa- and octa- polyhedra. Its neighboring two atoms are connected with a linear spring, whose constant is different between the case with Hamilton path and the case without Hamilton path. The discrete Sobolev inequality shows that the maximum of deviation is estimated from constant multiples of the potential energy. Hence, it is expected that the best constant represents the rigidity of the mechanical model.</p>

Journal

Keywords

Details 詳細情報について

  • CRID
    1390283659863463168
  • NII Article ID
    130007815864
  • DOI
    10.11540/jsiamt.30.1_1
  • ISSN
    24240982
  • Text Lang
    ja
  • Data Source
    • JaLC
    • CiNii Articles
  • Abstract License Flag
    Disallowed

Report a problem

Back to top