YYYeong-Nan Yeh
Yeong-Nan Yeh
*This is an algorithmically generated author record based on publicly available information.
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Research Subjects
Research Interests
Yeong-Nan Yeh has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Ji-Cai Liu
Department of Mathematics, Wenzhou University, Wenzhou, People’s Republic of China
1 shared publication
Latest Publications
- 28 July 2025
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 113 (2) , 177-188
ENUMERATION AND DIVISIBILITY OF HIGHER DIMENSIONAL KING WALKS
The lattice walks in the plane starting at the origin $\mathbf {0}$ with steps in $\{-1,0,1\}^{2}\setminus \{\mathbf {0}\}$ are called king walks. We investigate enumeration and divisibility for higher dimensional king walks confined to certain regions. Specifically, we establish an explicit formula for the number of $(r+s)$ -dimensional king walks of length n ending at $(a_1,\ldots ,a_r,b_1,\ldots ,b_s)$ which never dip below $x_i=0$ for $i=1,\ldots ,r$ . We also derive divisibility properties for the number of $(r+s)$ -dimensional king walks of length p (an odd prime) through group actions.- 28 July 2025
- Published by Cambridge University Press (CUP) in Bulletin of the Australian Mathematical Society
- Vol. 113 (2) , 177-188
ENUMERATION AND DIVISIBILITY OF HIGHER DIMENSIONAL KING WALKS
The lattice walks in the plane starting at the origin $\mathbf {0}$ with steps in $\{-1,0,1\}^{2}\setminus \{\mathbf {0}\}$ are called king walks. We investigate enumeration and divisibility for higher dimensional king walks confined to certain regions. Specifically, we establish an explicit formula for the number of $(r+s)$ -dimensional king walks of length n ending at $(a_1,\ldots ,a_r,b_1,\ldots ,b_s)$ which never dip below $x_i=0$ for $i=1,\ldots ,r$ . We also derive divisibility properties for the number of $(r+s)$ -dimensional king walks of length p (an odd prime) through group actions.