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

We construct and study a new class $\mathscr{M}=\{\mathscr{M}_n\}_{n\ge 4}$of compact hyperbolic $3$-manifolds with totally geodesic boundary. The membersof $\mathscr{M}_n$ are defined via triples of pairwise compatible Euleriancycles in $4$-regular $n$-vertex graphs. We show that each $M$ in$\mathscr{M}_n$ is of Matveev complexity $n$ and has a unique minimal idealtriangulation, which consists of $n$ tetrahedra. We exploit these properties toshow that $n!\,4^n > |\mathscr{M}_n| > n!$ for each sufficiently large$n\in\mathbb{N}$.

$3$-manifolds represented by $4$-regular graphs with three Eulerian cycles