TILING BRICKS WITH BRICKS

被引：0

作者：

DAMIANI, E

DANTONA, O

NALDI, G

PAVARINO, L

机构：

[1] UNIV MILAN,DIPARTIMENTO SCI INFORMAZ,I-20133 MILAN,ITALY

[2] UNIV PAVIA,I-27100 PAVIA,ITALY

[3] NYU,NEW YORK,NY 10003

来源：

STUDIES IN APPLIED MATHEMATICS | 1990年 / 83卷 / 02期

关键词：

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The problem addressed by the paper is the filling of a large brick with replicas of smaller bricks of different sizes. We solve this problem by reducing it to an algebraic problem about polynomials. As a by-product, we obtain new combinatorial interpretations of the connection constants linking some classical polynomial sequences of combinatorics.

引用

页码：91 / 110

页数：20

共 8 条

[1] ALGEBRAIC-THEORY OF BRICK PACKING .1. [J].

BARNES, FW .

DISCRETE MATHEMATICS, 1982, 42 (01) :7-26

[2]

CLIVIO A, TILINGS TORUS RECTAN

[3]

COMTET L, 1974, ADV COMBINATORICS

[4] ON FILLING SPACE WITH DIFFERENT INTEGER CUBES [J].

DAWSON, RJM .

JOURNAL OF COMBINATORIAL THEORY SERIES A, 1984, 36 (02) :221-229

[5] FILLING BOXES WITH BRICKS [J].

DEBRUIJN, NG .

AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (01) :37-&

[6]

Macdonald I.G., 1979, SYMMETRIC FUNCTIONS

[7]

METROPOLIS N, J MATH ANAL APPL B, V7, P563

[8]

Riordan J., 1958, INTRO COMBINATORIAL

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