Some inequalities for general zeroth-order Randic index
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Let G=(V,E), V={v1, v2,..., vn}, be a simple connected graph with n vertices, m edges and vertex degree sequence ? = d1?d2 ?...? dn = ? > 0, di = d(vi). General zeroth-order Randic index of G is defined as 0R?(G) = ?ni =1 d?i , where ? is an arbitrary real number. In this paper we establish relationships between 0R?(G) and 0R?-1(G) and obtain new bounds for 0R?(G). Also, we determine relationship between 0R?(G), 0R?(G) and 0R2?-?(G), where ? and ? are arbitrary real numbers. By the appropriate choice of parameters ? and ?, a number of old/new inequalities for different vertex-degree-based topological indices are obtained.
2020 ◽
Vol 12
(2)
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pp. 75-82
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2014 ◽
Vol 31
(1)
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pp. 182-195
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2020 ◽
Vol 2020
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pp. 1-16
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2010 ◽
Vol 49
(2)
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pp. 325-327
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2011 ◽
Vol 24
(5)
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pp. 687-691
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2007 ◽
Vol 155
(8)
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pp. 1044-1054
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