An annihilator dominating set ADS is a representative technique for nding the induced subgraph of a graph which can help to isolate the vertices. A dominating set of graph G is called ADS if its induced subgraph is containing only isolated vertices. The annihilator domination number of G, denoted by a G is the minimum cardinality of ADS. The tensor product of graphs G and H signied by G H is a graph with vertex set V = V G V H and edge f u; v ; u0; v0 g 2 E whenever u; u0 2 E G and v; v0 2 E H . In this paper, we deduce exact values of annihilator domination number of tensor product of Pm and Pn, m; n 2. Further, we investigated some lower and upper bounds for annihilator domination number of tensor product of path graphs.
Domination Number, Annihilator Dominating Set, Annihilator Domination Number, Paths, Tensor Product.
Primary Language  English 

Journal Section  Research Article 
Authors 

Publication Date  December 1, 2019 
Published in Issue  Year 2019, Volume 9, Issue 4 
Bibtex  @ { twmsjaem760952, journal = {TWMS Journal of Applied and Engineering Mathematics}, issn = {21461147}, eissn = {25871013}, address = {Işık University ŞİLE KAMPÜSÜ Meşrutiyet Mahallesi, Üniversite Sokak No:2 Şile / İstanbul}, publisher = {Turkic World Mathematical Society}, year = {2019}, volume = {9}, number = {4}, pages = {800  809}, title = {ANNIHILATOR DOMINATION NUMBER OF TENSOR PRODUCT OF PATH GRAPHS}, key = {cite}, author = {Sharma, K. and Sharma, U.} } 