(D,m)-dominating numbers of hypercube

Lu Changhong; Zhang Kemin

doi:10.1007/s11766-002-0033-7

(D,m)-dominating numbers of hypercube

Lu Changhong
, Zhang Kemin

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

1 Scopus citations

Abstract

This paper shows that the (d,m)-dominating number of the m-dimensional byper cube Q_m. (m ≥.4) is 2 for any integer d ([m/2]+ 2≤d≤m).

Original language	English
Pages (from-to)	105-108
Number of pages	4
Journal	Applied Mathematics
Volume	17
Issue number	1
DOIs	https://doi.org/10.1007/s11766-002-0033-7
State	Published - Mar 2002
Externally published	Yes

Keywords

Dominating number
Hypercube
Reliability

Access to Document

10.1007/s11766-002-0033-7

Cite this

@article{f83ec45308b7495cb820a3fa9a5bc48f,

title = "(D,m)-dominating numbers of hypercube",

abstract = "This paper shows that the (d,m)-dominating number of the m-dimensional byper cube Qm. (m ≥.4) is 2 for any integer d ([m/2]+ 2≤d≤m).",

keywords = "Dominating number, Hypercube, Reliability",

author = "Lu Changhong and Zhang Kemin",

year = "2002",

month = mar,

doi = "10.1007/s11766-002-0033-7",

language = "英语",

volume = "17",

pages = "105--108",

journal = "Applied Mathematics",

issn = "1005-1031",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - (D,m)-dominating numbers of hypercube

AU - Changhong, Lu

AU - Kemin, Zhang

PY - 2002/3

Y1 - 2002/3

N2 - This paper shows that the (d,m)-dominating number of the m-dimensional byper cube Qm. (m ≥.4) is 2 for any integer d ([m/2]+ 2≤d≤m).

AB - This paper shows that the (d,m)-dominating number of the m-dimensional byper cube Qm. (m ≥.4) is 2 for any integer d ([m/2]+ 2≤d≤m).

KW - Dominating number

KW - Hypercube

KW - Reliability

UR - https://www.scopus.com/pages/publications/84978926969

U2 - 10.1007/s11766-002-0033-7

DO - 10.1007/s11766-002-0033-7

M3 - 文章

AN - SCOPUS:84978926969

SN - 1005-1031

VL - 17

SP - 105

EP - 108

JO - Applied Mathematics

JF - Applied Mathematics

IS - 1

ER -

(D,m)-dominating numbers of hypercube

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this