8 citations · 11 across the 5 of their papers we have counts for
5 papers
Criteria of valid line sum arrays for multidimensional matrices
Hyun Kwang Kim, Joon Yop Lee
Gale and Ryser found a criterion for existence of a binary matrix with given row and column sums. Mirsky extended the theorem of Gale and Ryser to -ary matrices. In this paper,…
Identities of Eulerain and ordered Stirling numbers over a multiset
Joon Yop Lee
By considering Eulerian numbers and ordered Stirling numbers of the second and third kinds over a multiset, we generalize identities of Eulerian numbers and Stirling numbers of the…
Poly-Bernoulli numbers and lonesum matrices
Hyun Kwang Kim, Denis S. Krotov, Joon Yop Lee
A lonesum matrix is a matrix that can be uniquely reconstructed from its row and column sums. Kaneko defined the poly-Bernoulli numbers by a generating function, and Br…
Construction of optimal codes in deletion and insertion metric
Hyun Kwang Kim, Joon Yop Lee, Dong Yeol Oh
We improve Levenshtein's upper bound for the cardinality of a code of length four that is capable of correcting single deletions over an alphabet of even size. We also illustrate t…
Optimal codes in deletion and insertion metric
Hyun Kwang Kim, Joon Yop Lee, Dong Yeol Oh
We improve the upper bound of Levenshtein for the cardinality of a code of length 4 capable of correcting single deletions over an alphabet of even size. We also illustrate that th…