We study the following problem. Given a weighted planar graph G, assign labels L(v) to vertices so that given L(u), L(v) and L(x) for x ∈ X for any X ⊂ V (G), compute the dist...
We study the problem of Upward Point-Set Embeddability, that is the problem of deciding whether a given upward planar digraph D has an upward planar embedding into a point set S. W...
Markus Geyer, Michael Kaufmann, Tamara Mchedlidze,...
: We prove that every triangle-free planar graph on n vertices with maximum degree three has an independent set with size at least 3 8 n. This was suggested and later conjectured b...
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this ...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...
This paper shows that any planar graph with n vertices can be point-set embedded with at most one bend per edge on a universal set of n points in the plane. An implication of this...
Hazel Everett, Sylvain Lazard, Giuseppe Liotta, St...