We obtain a complete description of the planar cubic Cayley graphs, providing an explicit
presentation and embedding for each of them. This turns out to be a rich class, comprising …

We prove that a Cayley graph can be embedded in the Euclidean plane without
accumulation points of vertices if and only if it is the 1-skeleton of a Cayley complex that can …

We show that a group admits a planar, finitely generated Cayley graph if and only if it admits
a special kind of group presentation we introduce, called a planar presentation. Planar …

We obtain an effective enumeration of the family of finitely generated groups admitting a
faithful, properly discontinuous action on some 2-manifold contained in the sphere. This is …

Классические графы Кэли для групп давно и основательно зарекомендовали себя в
решении прикладных задач, найдя применение в различных научных сферах, от …

We obtain a complete description of the planar cubic Cayley graphs, providing an explicit
presentation and embedding for each of them. This turns out to be a rich class, comprising …

For locally finite infinite graphs the notion of Hamilton cycles can be extended to Hamilton
circles, homeomorphic images of $ S^ 1$ in the Freudenthal compactification. In this paper …

\]^,B_性的M]新的证明 Page 1 第12卷第17期 2017年9Л 中国科技论文
CHINASCIENCEPAPER Vol.12No.17 Sep.2017 \]^,B_性的M]新的证明 ãäå1,2,¤ æ1 (1.x6g=,-g-8,ç6èÄ063000;2.67,-c-2--8,67100871) …

We show that a group admits a planar, finitely generated, Cayley graph if and only if it admits
a special kind of group presentation we introduce, called a planar presentation. Planar …

A group $ G $ splits over a subgroup $ C $ if $ G $ is either a free product with
amalgamation $ A\underset {C}{\ast} B $ or an HNN-extension $ G= A\underset {C}{\ast}(t) …