Abstract
In this paper we show that the solution of the discrete Double Bubble problem over Z2 is at most the ceiling function plus two of the continuous solution to the Double Bubble problem, with respect to the ℓ1 norm, found in Morgan et al. (J. Geom. Anal. 8(1), 97–115 (1998)) and Duncan et al. (J. Geom. Anal. 33(1), # 31 (2023)).
Original language | English |
---|---|
Journal | Discrete and Computational Geometry |
DOIs | |
State | Accepted/In press - 2023 |
Keywords
- Discrete isoperimetry
- Double Bubble problem
- Square lattice
- Wulff shape
All Science Journal Classification (ASJC) codes
- Theoretical Computer Science
- Geometry and Topology
- Discrete Mathematics and Combinatorics
- Computational Theory and Mathematics