Low dimensional strongly perfect lattices . I : The 12 - dimensional case
نویسنده
چکیده
It is shown that the Coxeter-Todd lattice is the unique strongly perfect lattice in dimension 12.
منابع مشابه
Low dimensional strongly perfect lattices . II : Dual strongly perfect lattices of dimension 13 and 15
A lattice is called dual strongly perfect if both, the lattice and its dual, are strongly perfect. We show that there are no dual strongly perfect lattices of dimension 13 and 15.
متن کاملNotes on some Distance-Based Invariants for 2-Dimensional Square and Comb Lattices
We present explicit formulae for the eccentric connectivity index and Wiener index of 2-dimensional square and comb lattices with open ends. The formulae for these indices of 2-dimensional square lattices with ends closed at themselves are also derived. The index for closed ends case divided by the same index for open ends case in the limit N →&infin defines a novel quantity we call compression...
متن کاملLow dimensional strongly perfect lattices. III: Dual strongly perfect lattices of dimension 14
The extremal 3-modular lattice [±G2(3)]14 with automorphism group C2 × G2(F3) is the unique dual strongly perfect lattice of dimension 14.
متن کاملسیستمهای الکترونی همبسته قوی در شبکههای ناکام
We give an overview of recent work on charge degrees of freedom of strongly correlated electrons on geometrically frustrated lattices. Special attention is paid to the checkerboard lattice, i.e., the two-dimensional version of a pyrochlore lattice and to the kagomé lattice. For the checkerboard lattice it is shown that at half filling when spin degrees of freedom are neglected and at quarter f...
متن کاملTopological Compression Factors of 2-Dimensional TUC4C8(R) Lattices and Tori
We derived explicit formulae for the eccentric connectivity index and Wiener index of 2-dimensional square-octagonal TUC4C8(R) lattices with open and closed ends. New compression factors for both indices are also computed in the limit N-->∞.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2005