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The maximum radius of graphs with given order and minimum degree

Authors
Kim, Byeong MoonRho, YoomiSong, Byung ChulHwang, Woonjae
Issue Date
28-1월-2012
Publisher
ELSEVIER SCIENCE BV
Keywords
Radius; Minimum degree; Order
Citation
DISCRETE MATHEMATICS, v.312, no.2, pp.207 - 212
Indexed
SCIE
SCOPUS
Journal Title
DISCRETE MATHEMATICS
Volume
312
Number
2
Start Page
207
End Page
212
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/106219
DOI
10.1016/j.disc.2011.08.023
ISSN
0012-365X
Abstract
Let G be a graph with order n and minimum degree delta(>= 2). Erdos et al. found an upper bound of the radius r of G, which is 3/2 n-3/delta+1 + 5. They noted that this hound is tight apart from the exact value of the additive constant. In this paper, when r >= 3, we decrease this bound to left perpendicular3/2 n/delta+1right perpendicular, the extremal value. (C) 2011 Elsevier B.V. All rights reserved.
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과학기술대학 (응용수리과학부 데이터계산과학전공)
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