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Edited by: Editorial Board of Journal of Data Acquisition and Processing
P.O. Box 2704, Beijing 100190, P.R. China
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Undertaken by: Institute of Computing Technology, CAS
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      07 April 2023, Volume 38 Issue 2   
    Article

    THE UPPER CERTIFIED DOMINATION NUMBER OF A GRAPH
    A. Janani1 and J. Befija Minnie2
    Journal of Data Acquisition and Processing, 2023, 38 (2): 3712-3716 . 

    Abstract

    A certified dominating set D of vertices in a connected graph G is minimal certified dominating set if no proper subset of D is an certified dominating set of G.The upper certified domination number ⌈_cer (G) is the maximum cardinality of a minimal certified dominating set of G. It is shown that for every positive integers a and b with 2≤a≤b there exists a connected graph G suchthat γ_cer (G)=a and ⌈_cer (G)=b.

    Keyword

    upper certified domination number, certified domination number, domination number.


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ISSN 1004-9037

         

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