Italian Domination Number of Direct Product of Paths

doi:10.11908/j.issn.0253-374x.21221

Home > Archive>Volume 50, Issue 10, 2022 >1517-1522. DOI:10.11908/j.issn.0253-374x.21221

Italian Domination Number of Direct Product of Paths
DOI:
                        10.11908/j.issn.0253-374x.21221
                    
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                        GAO Hong1GAO Hong
College of Science， Dalian Maritime University， Dalian 116026， China
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HUANG Jiahuan1HUANG Jiahuan
College of Science， Dalian Maritime University， Dalian 116026， China
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LI Kun1LI Kun
College of Science， Dalian Maritime University， Dalian 116026， China
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YANG Yuansheng2YANG Yuansheng
School of Computer Science and Technology， Dalian University of Technology， Dalian 116024， China
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Affiliation:1.College of Science， Dalian Maritime University， Dalian 116026， China;2.School of Computer Science and Technology， Dalian University of Technology， Dalian 116024， China
Clc Number:O157.5
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Abstract:

In this paper，the Italian domination number of direct product of paths P_n×P_m is studied. With the combination of computer construction proof and mathematical derivation proof， the exact values of the Italian domination number of P_n×P₁， P_n×P₂ and P_n×P₃ are determined. For P_n×P_m （m≥4）， a bound on the Italian domination number is presented.

Key words:Italian domination number;direct product;path

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GAO Hong, HUANG Jiahuan, LI Kun, YANG Yuansheng. Italian Domination Number of Direct Product of Paths[J].同济大学学报(自然科学版),2022,50(10):1517~1522

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Received:May 21,2021
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Online: November 03,2022
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