Petersen Graph

The Petersen graph is a well-studied mathematical structure consisting of 10 points (vertices) connected by 15 lines (edges). Each point is connected to exactly three others, forming a symmetrical pattern that is highly regular. It is often used in graph theory due to its interesting properties, such as being non-planar (it can't be drawn on a flat surface without crossing lines) and symmetric. The graph helps in understanding concepts of connectivity, symmetry, and network design, serving as a fundamental example and counterexample in various mathematical proofs and theories.