12 citations · 45 across the 26 of their papers we have counts for
27 papers
A classification of transitive links and periodic links
Dongseok Kim
We generalized the periodic links to \emph{transitive} links in a -manifold . We find a complete classification theorem of transitive links in a -dimensional sphere $\math…
On the (n,k)-th Catalan numbers
Dongseok Kim
In this paper, we generalize the Catalan number to the -th Catalan numbers and find a combinatorial description that the -th Catalan numbers is equal to the number of…
A classification of links of the flat plumbing basket numbers 4 or less
Dongseok Kim
Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. In present article, we study links of the flat plumbing basket numbers…
A bijection between aperiodic palindromes and connected circulant graphs
Hunki Baek, Sejeong Bang, Dongseok Kim +1
In this paper, we show that there is a one-to-one correspondence between the set of compositions (resp. prime compositions) of and the set of circulant digraphs (resp. connecte…
The complete list of prime knots whose flat plumbing basket numbers are 6 or less
Yoon-Ho Choi, Yun Ki Chung, Dongseok Kim
Flat plumbing basket surfaces of links were introduced to study the geometry of the complement of the links. These flat plumbing basket surface can be presented by a sequential pre…
Degree distributions for a class of Circulant graphs
Dongseok Kim, Young Soo Kwon, Jaeun Lee
We characterize the equivalence and the weak equivalence of Cayley graphs for a finite group $\C{A}$. Using these characterizations, we find degree distribution polynomials for wea…