Event calendar file
19-25 June 2011
Bled, Slovenia
Europe/Ljubljana timezone
$L(j,k)$-Labelings of Direct Products of a Complete Graph and a Cycle
Presented by Dr. Yoomi RHO
Type: Oral presentation
Track: Domination, Independence and Coloring of Product Graphs
Content
An $L(j,k)$ labeling of a graph is a vertex labeling such that the difference of
the labels of any two adjacent vertices is at least $j$ and that of any two vertices of
distance $2$ is at least $k$. The minimum span of all $L(j,k)$-labelings of the graph
is denoted by $\lambda_k^j$.
In 2008, Lin and Lam provided $\lambda_1^2(G)$ for a direct product of a complete graph and a cycle $G$ with special orders. We extend their result for $G$ with other orders. Also
we obtain an upper bound of $\lambda_1^1(G)$ for a direct product of a complete graph and a cycle $G$.
Place
Location: Bled, Slovenia
Address: Best Western Hotel Kompas Bled
Co-authors
- Prof. Byeong Moon KIM Dept. Math., Gangnung-Wonju National U.
- Prof. Byung Chul SONG Dept. Math., Gangnung-Wonju National U.
