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

A \emph{directional labeling} of an edge $\emph{uv}$ in a graph $G=(V,E)$ byan ordered pair $ab$ is a labeling of the edge $uv$ such that the label on $uv$in the direction from $u$ to $v$ is $\ell(uv)=ab$, and $\ell(vu)=ba$. Newcharacterizations of 2-colorable (bipartite) and 3-colorable graphs areobtained in terms of directional labeling of edges of a graph by ordered pairs$ab$ and $ba$. In addition we obtain characterizations of 2-colorable and3-colorable graphs in terms of matrices called directional adjacency matrices.

Characterizations of 2-Colorable (Bipartite) and 3-Colorable Graphs