@article{oai:kindai.repo.nii.ac.jp:00009560,
 author = {小畑, 久美 and 佐久間, 一浩},
 issue = {44},
 journal = {近畿大学理工学部研究報告, Journal of the Faculty of Science and Engineering, Kinki University},
 month = {Sep},
 note = {A spatial embedding of a graph G is a realization of G into the 3-dimensional Euclidean space R^3. J. H. Conway and C. McA. Gordon proved that every spatial embedding of the complete graph with 7 vertices contains a nontrivial knot. A linear spatial embedding of a graph into R^3 is an embedding which maps each edge to a single straight line segment. In this paper, we actually construct a linear spatial embedding of the complete graph with 2n — 1 (or 2n) vertices which contains the torus knot T(2n — 5, 2) (n ≧ 4). A circular spatial embedding of a graph into R^3 is an embedding which maps each edge to a round arc. We define the circular number of a knot as the minimal number of round arcs in R^3 among such embeddings of the knot. Then we have relations between a circular number and other invariants. We also show that a knot has circular number 3 if and only if the knot is a trefoil knot, and the figure-eight knot has circular number 4., application/pdf},
 pages = {1--4},
 title = {結び目の円周数による特徴付け},
 year = {2008},
 yomi = {コバタ, クミ and サクマ, カズヒロ}
}