One of the significant areas of research within graph theory is planar graphs, which can be drawn on a plane without any edges crossing. Recent studies have focused on various aspects of planar ...

Recent research has focused on various aspects of graph coloring, particularly in relation to planar graphs, which are graphs that can be drawn on a plane without any edges crossing. The study of ...

Here is just a small example of C36.10 fullerene embedded onto sphere, animated by OpenSCAD: (planar graphs can be embedded onto sphere because of bijection of sphere minus north pole and plane) More ...

Use this vertex-edge tool to create graphs and explore them. Investigate ideas such as planar graphs, complete graphs, minimum-cost spanning trees, and Euler and Hamiltonian paths. Create a complete ...

The L(p, q)-labeling problem arises from a variation of the channel assignment problem. We establish a connection between the L(p, q)-labeling of the planar graph G and the integer flow on the dual ...

Abstract: For a planar directed graph G, Postnikov's boundary measurement map sends positive weight functions on the edges of G onto the appropriate totally non-negative Grassmann cell. We establish ...

is_planar is a pure python code of the left-right algorithm [1, 2, 3] that tests the planarity of given graphs in linear time. The brevity is not only easy to understand, but also known to be the ...