English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Zendy Plus

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Zendy Tools

Zendy Open

Let G be the graph of a triangulated surface $\Sigma$ of genus $g\geq 2$. Acycle of G is splitting if it cuts $\Sigma$ into two components, neither ofwhich is homeomorphic to a disk. A splitting cycle has type k if thecorresponding components have genera k and g-k. It was conjectured that Gcontains a splitting cycle (Barnette '1982). We confirm this conjecture for aninfinite family of triangulations by complete graphs but give counter-examplesto a stronger conjecture (Mohar and Thomassen '2001) claiming that G shouldcontain splitting cycles of every possible type.

Some Triangulated Surfaces without Balanced Splitting