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AN ELEMENTARY SET FOR EMBEDDED BOUQUET GRAPHS WITH TWO CYCLES

Authors
Huh, Youngsik
Issue Date
Feb-2011
Publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
Keywords
Projection of graph; embedding of graph; bouquet graph; knot projection
Citation
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, v.20, no.2, pp.305 - 325
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS
Volume
20
Number
2
Start Page
305
End Page
325
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/169125
DOI
10.1142/S0218216511008796
ISSN
0218-2165
Abstract
A projection of the bouquet graph B with two cycles is said to be trivial if only trivial embeddings are obtained from the projection. In this paper a finite set of nontrivial embeddings of B is shown to be minimal among those which produce all nontrivial projections of B.
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