On the Precise Number of (0,1)-Matrices in u(R, S)

Bo-Ying Wang; Fuzhen Zhang

doi:10.1016/S0012-365X(97)00197-0

On the Precise Number of (0,1)-Matrices in u(R, S)

Bo-Ying Wang
, Fuzhen Zhang

Research output: Contribution to journal › Article › peer-review

40 Scopus citations

Abstract

This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matrices of zeros and ones with row and column sum vectors R and S, respectively. With the new formula, the computing time is greatly shortened.

Original language	American English
Journal	Discrete Mathematics
Volume	187
DOIs	https://doi.org/10.1016/S0012-365X(97)00197-0
State	Published - Jun 1 1998

Keywords

(0
1)-matrix
Binary digits
Row and column sum vectors

Disciplines

Mathematics

Access to Document

10.1016/S0012-365X(97)00197-0License: Unspecified

Cite this

@article{e42c9c26036f44f6951a0055157106dc,

title = "On the Precise Number of (0,1)-Matrices in u(R, S)",

abstract = " This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matrices of zeros and ones with row and column sum vectors R and S, respectively. With the new formula, the computing time is greatly shortened.",

keywords = "(0, 1)-matrix, Binary digits, Row and column sum vectors",

author = "Bo-Ying Wang and Fuzhen Zhang",

year = "1998",

month = jun,

day = "1",

doi = "10.1016/S0012-365X(97)00197-0",

language = "American English",

volume = "187",

journal = "Discrete Mathematics",

issn = "0012-365X",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - On the Precise Number of (0,1)-Matrices in u(R, S)

AU - Wang, Bo-Ying

AU - Zhang, Fuzhen

PY - 1998/6/1

Y1 - 1998/6/1

N2 - This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matrices of zeros and ones with row and column sum vectors R and S, respectively. With the new formula, the computing time is greatly shortened.

AB - This paper gives a reduced formula for the precise number of matrices in A(R,S), the class of matrices of zeros and ones with row and column sum vectors R and S, respectively. With the new formula, the computing time is greatly shortened.

KW - (0

KW - 1)-matrix

KW - Binary digits

KW - Row and column sum vectors

UR - https://nsuworks.nova.edu/math_facarticles/92

U2 - 10.1016/S0012-365X(97)00197-0

DO - 10.1016/S0012-365X(97)00197-0

M3 - Article

SN - 0012-365X

VL - 187

JO - Discrete Mathematics

JF - Discrete Mathematics

ER -

On the Precise Number of (0,1)-Matrices in u(R, S)

Abstract

Keywords

Disciplines

Access to Document

Other files and links

Fingerprint

Cite this