2011/08/06 by Dong‐Seok Kim, Kim, Dongseok
Computer Science · Mathematics · #05C10 #Combinatorics (math.CO) #Digital Image Processing Techniques #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Primary 57M27 #Secondary 05C05 #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.1108.1455
openalex publication_date 2011/08/06 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
The existence of basket, flat plumbing and flat plumbing basket surfaces of a link was first proven from a braid representative of the link. In the present article, we show the existence of such surfaces from an induced graph of the link. Consequently, we define the basket number, flat plumbing number and flat plumbing basket number of a link. Then we provide several upper bounds for these plumbing numbers and study the relation between these plumbing numbers and the genera of links.