README This My collage project Discirt Mathematics and Graph Theory Here is the app Link : https://planar-graph-visualizer-p733teyxxkvqcccawbmbwd.streamlit.app/ Planar Graph Visualizer is a dynamic ...

A classic example, the Four Colour Theorem, illustrates a fundamental property of planar graphs, while recent advancements have extended these ideas to more specialised variants, including list ...

A graph consists of a set of vertices and a set of edges, each joining two vertices. A graph is planar if it can be embedded in the plane so that no two edges intersect geometrically except at a ...

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 ...

Now imagine that you want to insert a new edge connecting two nodes in a planar graph, say nodes 1 and 6 in the example below. To do so, you’re going to perform a series of flips. From the starting ...

The concept of a cubic planar graph also serves as a motivating factor for our research. The following work on cubic intuitionistic planar graphs is discussed and coordinated as follows: Section 2 ...

While research on the geometry of planar graphs has been active in the past decades, many properties of planar metrics remain mysterious. This paper studies a fundamental aspect of the planar graph ...

Graph Definitions A solid understanding of the basic definitions is essential for understanding graphs, their practical applications and the key differences that distinguish them from networks. Basic ...

Let G be any n-vertex planar graph. We prove that the vertices of G can be partitioned into three sets A, B, C such that no edge joins a vertex in A with a vertex in B, neither A nor B contains more ...