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   bounds on sombor index and inverse sum indeg (isi) index of graph operations  
   
نویسنده jamal fareeha ,imran muhammad
منبع communications in combinatorics and optimization - 2024 - دوره : 9 - شماره : 4 - صفحه:785 -798
چکیده    Let $ g $ be a graph with vertex set $ v(g) $ and edge set $ e(g) $. denote by $ d_g(u) $ the degree of a vertex $ u in v(g) $. the sombor index of $ g $ is defined as $ so(g) = sum_{uv in e(g)} sqrt{d_u^2 + d_v^2} $, whereas, the inverse sum indeg $ (isi) $ index is defined as $ isi(g) = sum_{uv in e(g)}    frac{d_{u}d_{v}}{d_{u} + d_{v}}. $ in this paper, we compute the bounds in terms of maximum degree, minimum degree, order and size of the original graphs $ g $ and $ h $ for sombor and $ isi $ indices of several graph operations like corona product, cartesian product, strong product, composition and join of graphs.
کلیدواژه sombor index ,inverse sum indeg index ,graph operations ,corona product ,cartesian product
آدرس united arab emirate university, college of science, department of mathematical sciences, united arab emirates, united arab emirate university, college of science, department of mathematical sciences, united arab emirates
پست الکترونیکی imrandhab@gmail.com, m.imran658@uaeu.ac.ae
 
     
   
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