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on two-stepwise irregular graphs
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نویسنده
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rai s. ,das s. ,mishra u.
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منبع
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scientia iranica - 2023 - دوره : 30 - شماره : 3-D - صفحه:1049 -1057
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چکیده
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A graph g is called irregular if the degrees of all its vertices are not the same. a graph is said to be stepwise irregular (si) if the di erence between the degrees of any two adjacent vertices is always 1. this paper deals with 2-stepwise irregular (2-si) graphsin which the degrees of every pair of adjacent vertices di er by 2. here, we discuss some properties of 2-si graphs and generalize them for k-si graphs for which the imbalance of every edge is k. besides, we also compute bounds of irregularity for the albertson index in any 2-si graph.
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کلیدواژه
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irregular graphs ,bipartite graph ,stepwise irregular graph ,albertson index
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آدرس
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banaras hindu university, institute of science, department of mathematics, india, banaras hindu university, institute of science, department of mathematics, india, banaras hindu university, institute of science, department of mathematics, india
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پست الکترونیکی
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utkarsh30896@gmail.com
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Authors
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