@article{oai:ynu.repo.nii.ac.jp:00006751, author = {Negami, Seiya}, issue = {1&2}, journal = {Yokohama Mathematical Journal = 横濱市立大學紀要. D部門, 数学}, month = {}, note = {application/pdf, A graph $G$ is said to be uniquely embeddable in a surface $F^{2}$ if for any two embeddings $f_{1},f_{2}$ : $G¥rightarrow F^{2}$, there is an automorphism $¥sigma$ : $G¥rightarrow G$ and a homeomorphism $h;F^{2}¥rightarrow F^{2}$ such that $ h_{¥circ}f_{1}=f_{2}¥circ¥sigma$ . A graph $G$ is said to be faithfully embeddable in a surface $F^{2}$ if $G$ admits an embedding $f:G¥rightarrow F^{2}$ such that for any automorphism $¥sigma:G¥rightarrow G$ , there is a homeomorphism $h$ ; $F^{2}¥rightarrow F^{2}$ with $ h_{0}f=f¥circ¥sigma$ . Given a hyperbolic closed surface $F^{2}$, an infinite number of 6-connected graphs which are not uniquely or not faithfully embeddable in $F^{2}$ will be constructed systematically.}, pages = {67--91}, title = {CONSTRUCTION OF GRAPHS WHICH ARE NOT UNIQUELY AND NOT FAITHFULLY EMBEDDABLE IN SURFACES}, volume = {33}, year = {1985} }