Planar Graphs A planar graph is a graph that can be drawn on a flat surface without edges crossing. In other words, the graph can be folded flat without any...
Planar Graphs
A planar graph is a graph that can be drawn on a flat surface without edges crossing. In other words, the graph can be folded flat without any edges hanging off the edges.
A planar graph can be decomposed into a finite number of disjoint cycles. A cycle is a closed path that starts and ends on the same vertex.
There are two main types of planar graphs: bipartite graphs and planar graphs. A bipartite graph is a graph in which the vertices can be divided into two disjoint sets of vertices such that no two vertices are adjacent. A planar graph is a bipartite graph in which the vertices can be arranged in a way that the edges between them lie entirely inside the graph.
Planar graphs have a wide range of applications in various fields, including computer science, physics, and mathematics. They are used in algorithms for finding shortest paths, scheduling, and other problems