SHARP BOUNDS FOR THE GENERAL RANDIC INDEX R-1 OF A GRAPH

被引：2
|
作者：
Milovanovic, E. I. [1 ]
Bekakos, P. M. [2 ]
Bekakos, M. P. [3 ]
Milovanovic, I. Z. [1 ]
机构：
[1] Fac Elect Engn, A Medvedeva 14,POB 73, Nish 18000, Serbia
[2] Xanthi Univ Technol, Dept Elect & Comp Engn, Xanthi 67100, Thrace, Greece
[3] Democritus Univ Thrace, Dept Elect & Comp Engn, GR-67100 Xanthi, Thrace, Greece
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2017年 / 47卷 / 01期
关键词：
General Randic index; vertex degree sequence; normalized Laplacian spectrum (of graph);
D O I：
10.1216/RMJ-2017-47-1-259
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let G be an undirected simple, connected graph with n >= 3 vertices and m edges, with vertex degree sequence d >= d 2 >=....>= d n. The general Randic index is de fi ned by R-1 = Sigma((i,j)subset of E) 1/d(i)d(j) Lower and upper bounds for R-1 are obtained in this paper.
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页码：259 / 266
页数：8
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