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  1. No Access

    Article

    1-Universal binary and ternary Hermitian lattices over imaginary quadratic fields

    A positive definite Hermitian lattice is said to be 1-universal if it represents all positive definite unary Hermitian lattices, including both free and non-free Hermitian lattices. This paper is more concerned w...

    Byeong Moon Kim, Ji Young Kim in The Ramanujan Journal (2021)

  2. No Access

    Article

    The Lower and Upper Bounds of Turán Number for Odd Wheels

    The Turán number for a graph H, denoted by \(\text {ex}(n,H)\) ex

    Byeong Moon Kim, Byung Chul Song, Woonjae Hwang in Graphs and Combinatorics (2021)

  3. No Access

    Article

    Lambda number for the direct product of some family of graphs

    An L(2, 1)-labeling for a graph \(G=(V,E)\) G ...

    Byeong Moon Kim, Yoomi Rho, Byung Chul Song in Journal of Combinatorial Optimization (2017)

  4. No Access

    Article

    \(L(1,1)\) -labelling of the direct product of a complete graph and a cycle

    An \(L(j,k)\) L ( ...

    Byeong Moon Kim, Yoomi Rho, Byung Chul Song in Journal of Combinatorial Optimization (2015)

  5. No Access

    Article

    Radio number for the product of a path and a complete graph

    A multilevel distance labeling of a graph \(G=(V,E)\) ...

    Byeong Moon Kim, Woonjae Hwang, Byung Chul Song in Journal of Combinatorial Optimization (2015)

  6. No Access

    Article

    Minimum orders of eulerian oriented digraphs with given diameter

    A digraph D is oriented if it does not contain 2-cycles. If an oriented digraph D has a directed eulerian path, it is an oriented eulerian digraph. In this paper, when an oriented eulerian digraph D has minimum o...

    Yoomi Rho, Byeong Moon Kim, Woonjae Hwang… in Acta Mathematica Sinica, English Series (2014)

  7. No Access

    Article

    The Kloosterman problem for binary Hermitian lattices

    A Hermitian lattice over an imaginary quadratic field \(\mathbb {Q}(\sqrt{-m})\) ...

    Byeong Moon Kim, Ji Young Kim, Poo-Sung Park in Abhandlungen aus dem Mathematischen Semina… (2014)

  8. No Access

    Article

    Extensions of representations of integral quadratic forms

    Let N and M be quadratic ℤ-lattices, and K be a sublattice of N. A representation σ:K→M is said to be extensible to N if there exists a representation ρ:N→M such that ρ | ...

    Wai Kiu Chan, Byeong Moon Kim, Myung-Hwan Kim, Byeong-Kweon Oh in The Ramanujan Journal (2008)

  9. No Access

    Article

    Finiteness of real quadratic fields which admit positive integral diagonal septanary universal forms

    In this paper, we will prove if D is large enough, there are no positive integral diagonal septanary universal quadratic forms over .

    Byeong Moon Kim in manuscripta mathematica (1999)