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the irregularity and total irregularity of eulerian graphs
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نویسنده
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nasiri r. ,ellahi h. r. ,gholami a. ,fath-tabar g. h.
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منبع
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iranian journal of mathematical chemistry - 2018 - دوره : 9 - شماره : 2 - صفحه:101 -111
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چکیده
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For a graph g, the irregularity and total irregularity of g are defined as irr(g)=∑_(uv∈e(g)) |d_g (u)d_g (v)| and irr_t (g)=1/2 ∑_(u,v∈v(g))|d_g (u)d_g (v)| , respectively, where d_g (u) is the degree of vertex u. in this paper, we characterize all connected eulerian graphs with the second minimum irregularity, the second and third minimum total irregularity value, respectively.
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کلیدواژه
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eulerian graphs ,irregularity ,total irregularity ,vertex degree
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آدرس
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university of qom, faculty of science,faculty of science, department of mathematics, ایران, university of qom, faculty of science, department of mathematics, ایران, university of qom, faculty of science, department of mathematics, ایران, university of kashan, faculty of mathematical sciences, department of pure mathematics, ایران
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پست الکترونیکی
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fathtabar@kashanu.ac.ir
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Authors
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