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bounds on sombor index and inverse sum indeg (isi) index of graph operations
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نویسنده
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jamal fareeha ,imran muhammad
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منبع
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communications in combinatorics and optimization - 2024 - دوره : 9 - شماره : 4 - صفحه:785 -798
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چکیده
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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.
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کلیدواژه
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sombor index ,inverse sum indeg index ,graph operations ,corona product ,cartesian product
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آدرس
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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
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پست الکترونیکی
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imrandhab@gmail.com, m.imran658@uaeu.ac.ae
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Authors
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