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/

Global: Zendy Plus annual

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

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

For each $c\ge 1$ we prove tight lower bounds on face sizes that must bepresent to allow $1$- or $2$-cuts in simple duals of $c$-connected maps. Usingthese bounds, we determine the smallest genus on which a $c$-connected map canhave a simple dual with a $2$-cut and give lower and some upper bounds for thesmallest genus on which a $c$-connected map can have a simple dual with a$1$-cut.

Face sizes and the connectivity of the dual