stdClass Object
(
    [id] => 17975
    [paper_index] => 202510-01-024682
    [title] => SPLIT DOMINATION INTEGRITY OF SEMI TOTAL POINT GRAPH
    [description] => 
    [author] => A Sugirtha, Y Therese Sunitha Mary
    [googlescholar] => 
    [doi] => 
    [year] => 2025
    [month] => October
    [volume] => 11
    [issue] => 10
    [file] => fm/jpanel/upload/2025/November/202510-01-024682.pdf
    [abstract] => The semi-total point graph T₂(G) of a graph G is obtained by taking V(G) ∪ E(G) as its vertex set, where two vertices are adjacent if they are adjacent in G, or if one represents a vertex of G and the other an incident edge. In this paper, we investigate the split domination integrity SDI(G), defined asSDI(G)=min{|D|+m(G−D):D⊆V(G)},where D is a split dominating set and m(G − D) is the order of a maximum component of G − D. We derive sharp bounds and structural constraints for SDI(T₂(G)) and compute its exact values for the Cartesian product of semi-total point graphs of several families of graphs. The results generalize and extend previous work on domination parameters of semi-total point graphs by introducing the vulnerability parameter SDI to this class of graphs.
    [keywords] => Domination, SplitDomination, Integrity, Split Domination Integrity, Semi Total Point Graph.
AMS Subject Classification: 05C38, 05C69, 05C76.

    [doj] => 2025-11-02
    [hit] => 
    [status] => 
    [award_status] => P
    [orderr] => 116
    [journal_id] => 1
    [googlesearch_link] => 
    [edit_on] => 
    [is_status] => 1
    [journalname] => EPRA International Journal of Multidisciplinary Research (IJMR)
    [short_code] => IJMR
    [eissn] =>  2455-3662 (Online)
    [pissn] => - --
    [home_page_wrapper] => images/products_image/11.IJMR.png
)
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