KNOTTED HAMILTONIAN CYCLES IN LINEAR EMBEDDING OF K-7 INTO R-3
- Title
- KNOTTED HAMILTONIAN CYCLES IN LINEAR EMBEDDING OF K-7 INTO R-3
- Author
- 허영식
- Keywords
- Polygonal knot; figure-8 knot; complete graph; linear embedding; SPATIAL GRAPHS; LINKS
- Issue Date
- 2012-11
- Publisher
- WORLD SCIENTIFIC PUBL CO PTE LTD, 5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
- Citation
- JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS, DEC 2012, 21(14)
- Abstract
- In 1983 Conway and Gordon proved that any embedding of the complete graph K-7 into R-3 contains at least one nontrivial knot as its Hamiltonian cycle. After their work knots (also links) are considered as intrinsic properties of abstract graphs, and numerous subsequent works have been continued until recently. In this paper, we are interested in knotted Hamiltonian cycles in linear embedding of K-7. Concretely it is shown that any linear embedding of K-7 contains at most three figure-8 knots.
- URI
- http://www.worldscientific.com/doi/abs/10.1142/S0218216512501325http://hdl.handle.net/20.500.11754/42742
- ISSN
- 0218-2165
- DOI
- 10.1142/S0218216512501325
- Appears in Collections:
- COLLEGE OF NATURAL SCIENCES[S](자연과학대학) > MATHEMATICS(수학과) > Articles
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