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pi index of bicyclic graphs
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نویسنده
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chithrabhanu manju sankaramalil ,somasundaram kanagasabapathi
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منبع
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communications in combinatorics and optimization - 2024 - دوره : 9 - شماره : 3 - صفحه:425 -436
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چکیده
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The pi index of a graph $g$ is given by $pi(g)=sum_{ein e(g)}(left|v(g)right|-n_g(e))$, where $n_g(e)$ is the number of equidistant vertices for the edge $e$. various topological indices of bicyclic graphs have already been calculated. in this paper, we obtained the exact value of the pi index of bicyclic graphs. we also explore the extremal graphs among all bicyclic graphs with respect to the pi index. furthermore, we calculate the pi index of a cactus graph and determine the extremal values of the pi index among cactus graphs.
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کلیدواژه
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pi index ,unicyclic graphs ,bicyclic graphs ,extremal values
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آدرس
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school of physical sciences, department of mathematics, india, amrita school of physical sciences, department of mathematics, india
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پست الکترونیکی
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s_sundaram@cb.amrita.edu
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Authors
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