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In this paper we investigate the projections of bouquet graph
B with two cycles. A projection of B is said to be trivial if only trivial
embeddings are obtained from the projection. It is shown that, to cover
all nontrivial projections of B, at least three embeddings of B are needed.
We also show that a nontrivial projection of B is covered by one of some
two embeddings if the image of each cycle has at most one self-crossing.
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참고문헌 (9)
참고문헌 신청
K. Taniyama / 1989 / A partial order of knots / TOKYO JOURNAL MATHEMATICS 12 (1) : 205 ~ 229
K. Taniyama / 1989 / A partial order of links / TOKYO JOURNAL MATHEMATICS 12 (2) : 475 ~ 484
K. Taniyama / 1995 / Knotted projections of planar graphs / Proc. Amer. Math. Soc. : 3575 ~ 3579
K. Taniyama / 1998 / Regular projections of knotted handcuff graphs / Journal of Knot Theory and Its Ramifications 7 (4) : 509 ~ 517
Y. Huh / / An elementary set for embedded bouquet graphs with two cycles, Preprint
K. Taniyama / 1989 / A partial order of links / TOKYO JOURNAL MATHEMATICS 12 (2) : 475 ~ 484
K. Taniyama / 1995 / Knotted projections of planar graphs / Proc. Amer. Math. Soc. : 3575 ~ 3579
K. Taniyama / 1998 / Regular projections of knotted handcuff graphs / Journal of Knot Theory and Its Ramifications 7 (4) : 509 ~ 517
Y. Huh / / An elementary set for embedded bouquet graphs with two cycles, Preprint
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