Year: 2017
Type: preprint
Abstract: We study a problem of geometric graph theory: We determine the triply periodic graph in Euclidean 3-space which minimizes length among all graphs spanning a fundamental domain of 3-space with the same volume. The minimizer is the so-called srs network with quotient the complete graph on four vertices $K_4$. The network spans the body centred cubic lattice and is related to the gyroid triply periodic surface.
Source: arXiv (Cornell University)
Authors: Alex, Jerome, Grosse-Brauckmann, Karsten
Language: English
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4387450866