In an orthogonal drawing of a planar graph G, each vertex is drawn as a point, each edge is drawn as a sequence of alternate horizontal and vertical line segments, and any two edge...
A digraph is upward planar if it has a planar drawing such that all the edges are monotone with respect to the vertical direction. Testing upward planarity and constructing upward ...
Paola Bertolazzi, Giuseppe Di Battista, Carlo Mann...
Recently, we have presented a new practical method for upward crossing minimization [4], which clearly outperformed existing approaches for drawing hierarchical graphs in that resp...
Markus Chimani, Carsten Gutwenger, Petra Mutzel, H...
For planar graphs, counting the number of perfect matchings (and hence determining whether there exists a perfect matching) can be done in NC [4, 10]. For planar bipartite graphs, ...
In this paper, we study the k-tree partition problem which is a partition of the set of edges of a graph into k edge-disjoint trees. This problem occurs at several places with appl...