${\ell }_1$-Embeddability of Regular Quadrilateral Maps on the Torus and the Klein Bottle

Guangfu Wang, Wenchao Cong, Chunxiao Xu

A connected graph is called ${\ell }_1$-embeddable if its shortest-path metric admits an isometric embedding into the ${\ell }_1$-space; equivalently, in the finite case, it admits a sca…