2 problems

Let $G$ be a graph and let $g:G\rightarrow S^3$ be a smooth embedding. A Legendrian realization of $g$ is a Legendrian embedding of $G$ in $(S^3,\xi_{std})$ representing the smooth…

Let $K_5$ be the complete graph on five vertices, and consider an unknotted minimal embedding of $K_5$ as a Legendrian graph. For each $5$-cycle in the embedding, let $tb$ denote i…