(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

Hunan Normal University
Nanjing University

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

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10.1007/s11766-002-0033-7

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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",

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pages = "105--108",

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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

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DO - 10.1007/s11766-002-0033-7

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VL - 17

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JO - Applied Mathematics

JF - Applied Mathematics

IS - 1

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(D,m)-dominating numbers of hypercube

Abstract

Keywords

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