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ENUMERATION OF OPTIMALLY LABELLED GRAPHS OF BANDWIDTH 2

Authors
Chae, Gab-ByungCheong, MinSeokKim, Sang-Mok
Issue Date
2017
Publisher
KOREAN MATHEMATICAL SOC
Keywords
enumeration; linear discrepancy; bandwidth
Citation
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.54, no.6, pp.1883 - 1891
Indexed
SCIE
SCOPUS
KCI
Journal Title
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
Volume
54
Number
6
Start Page
1883
End Page
1891
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/86350
DOI
10.4134/BKMS.b160168
ISSN
1015-8634
Abstract
An optimally labelled graph of bandwidth 2 is an ordered pair (G, f) where G is a simple graph with bw (G) = 2 and f : V (G) -> [n] is a bijection such that bw(G, f) = 2. In this paper, the number of optimally labelled graphs of bandwidth two of order n is enumerated by counting linear forests.
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