We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Lattice stick number of spatial graphs.
- Authors
Yoo, Hyungkee; Lee, Chaeryn; Oh, Seungsang
- Abstract
The lattice stick number of knots is defined to be the minimal number of straight sticks in the cubic lattice required to construct a lattice stick presentation of the knot. We similarly define the lattice stick number s L ( G ) of spatial graphs G with vertices of degree at most six (necessary for embedding into the cubic lattice), and present an upper bound in terms of the crossing number c ( G ) s L ( G ) ≤ 3 c ( G ) + 6 e − 4 v − 2 s + 3 b + k , where G has e edges, v vertices, s cut-components, b bouquet cut-components, and k knot components.
- Subjects
LATTICE field theory; GRAPH theory; KNOT theory; CROSSING numbers (Graph theory); NUMBER theory
- Publication
Journal of Knot Theory & Its Ramifications, 2018, Vol 27, Issue 8, pN.PAG
- ISSN
0218-2165
- Publication type
Article
- DOI
10.1142/S0218216518500487