Tilings of quadriculated annuli

نویسندگان

  • Nicolau C. Saldanha
  • Carlos Tomei
چکیده

Tilings of a quadriculated annulus A are counted according to volume (in the formal variable q) and flux (in p). We consider algebraic properties of the resulting generating function ΦA(p, q). For q = −1, the non-zero roots in p must be roots of unity and for q > 0, real negative.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Cut-and-paste of quadriculated disks and arithmetic properties of the adjacency matrix

We define cut-and-paste, a construction which, given a quadriculated disk obtains a disjoint union of quadriculated disks of smaller total area. We provide two examples of the use of this procedure as a recursive step. Tilings of a disk ∆ receive a parity : we construct a perfect or near-perfect matching of tilings of opposite parities. Let B∆ be the black-to-white adjacency matrix: we factor B...

متن کامل

An overview of domino and lozenge tilings

We consider tilings of quadriculated regions by dominoes and of triangulated regions by lozenges. We present an overview of results concerning tileability, enumeration and the structure of the space of tilings.

متن کامل

An Overview of Domino and Lozenge

We consider tilings of quadriculated regions by dominoes and of triangulated regions by lozenges. We present an overview of results concerning tileability, enumeration and the structure of the space of tilings.

متن کامل

Arithmetic properties of the adjacency matrix of quadriculated disks

A quadriculated disk is a juxtaposition of finitely many squares along sides forming a closed topological disk such that vertices of squares which lie in the interior of the disk belong to precisely four squares. In this paper, by a square we mean a topological disk with four privileged boundary points, the vertices. A simple example of a quadriculated disk is the n ×m rectangle divided into un...

متن کامل

Entropy generation calculation for laminar fully developed forced flow and heat transfer of nanofluids inside annuli

In this paper, second law analysis for calculations of the entropy generation due to the flow andheat transfer of water-Al2O3 and ethylene glycol-Al2O3 nanofluids inside annuli is presented. Thephysical properties of the nanofluids are calculated using empirical correlations. Constant heatfluxes at inner surface of the annuli are considered and fully developed condition for fluid flowand heat t...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 88  شماره 

صفحات  -

تاریخ انتشار 2003