Lozenge Tiling Function Ratios for Hexagons with Dents on Two Sides

被引：2

作者：

Condon, Daniel ^{[1
]}

机构：

[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2020年 / 27卷 / 03期

关键词：

ENUMERATION; MATCHINGS;

D O I：

10.37236/9363

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a formula for the number of lozenge tilings of a hexagon on the triangular lattice with unit triangles removed from arbitrary positions along two non-adjacent, non-opposite sides. Our formula implies that for certain families of such regions, the ratios of their numbers of tilings are given by simple product formulas.

引用

页码：1 / 24

页数：24

共 18 条

[1] Lozenge things of hexagons with arbitrary dents
Ciucu, Mihai
Fischer, Ilse
[J]. ADVANCES IN APPLIED MATHEMATICS, 2016, 73 : 1 - 22
[2] Lozenge tilings of hexagons with central holes and dents
Lai, Tri
[J]. ELECTRONIC JOURNAL OF COMBINATORICS, 2020, 27 (01):
[3] Proof of two conjectures of Ciucu and Krattenthaler on the enumeration of lozenge tilings of hexagons with cut off corners
Ciucu, Mihai
Fischer, Ilse
[J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2015, 133 : 228 - 250
[4] Two-dimensional tiling by rubrene molecules self-assembled in supramolecular pentagons, hexagons, and heptagons on a Au(111) surface
Pivetta, Marina
Bluem, Marie-Christine
Patthey, Francois
Schneider, Wolf-Dieter
[J]. ANGEWANDTE CHEMIE-INTERNATIONAL EDITION, 2008, 47 (06) : 1076 - 1079
[5] Platelet function and fibrinolytic agents: Two sides of a coin?
Callahan, KP
Malinin, AI
Gurbel, PA
Alexander, JH
Granger, CB
Serebruany, VL
[J]. CARDIOLOGY, 2001, 95 (02) : 55 - 60
[6] Two sides to every story: the multifaceted nature of endothelial function
Lee, Kaitlyn D.
Papadedes, Dimitri W.
King, Trevor J.
[J]. JOURNAL OF APPLIED PHYSIOLOGY, 2021, 130 (04) : 1157 - 1157
[7] From evolution to function: Two sides of the same CENP-B coin?
Gamba, Riccardo
Fachinetti, Daniele
[J]. EXPERIMENTAL CELL RESEARCH, 2020, 390 (02)
[8] Advances in immunology: T-cell function and migration - Two sides of the same coin
von Andrian, UH
Mackay, CR
[J]. NEW ENGLAND JOURNAL OF MEDICINE, 2000, 343 (14): : 1020 - 1033
[9] The two sides of doravirinebased regimens: A descriptive study focusing on kidney function and lipidic profile
Menozzi, M.
Mazzitelli, M.
Albertini, M.
Fontana, B.
Di Trapani, M. D.
Cattelan, A. M.
Mussini, C.
[J]. HIV MEDICINE, 2023, 24 : 126 - 128
[10] Negative Regulation and Protective Function of Natural Killer Cells in HIV Infection: Two Sides of a Coin
Sun, Yu
Zhou, Jie
Jiang, Yongjun
[J]. FRONTIERS IN IMMUNOLOGY, 2022, 13

← 1 2 →