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Connected Graph

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A connected graph is a network for which there is a path between any pair of vertices.

Connected graph is a college-level concept that would be first encountered in a discrete mathematics course covering graph theory.

Examples

Complete Graph: A complete graph is a network in which every pair of vertices is connected by an edge.
Cycle Graph: A cycle graph is a network containing a single cycle which passes through all its vertices.
Polyhedral Graph: A polyhedral graph is a network made up of the vertices and edges of a polyhedron. Polyhedral graphs are always planar.
Tree: A tree is a network that contains no cycles.

Prerequisites

Graph: In graph theory, a graph, also called a network, is a collection of points together with lines that connect some subset of the points.

Classroom Articles on Graph Theory

  • Chromatic Number
  • Graph Theory
  • Directed Graph
  • Planar Graph
  • Graph Cycle

  • Classroom Articles on Discrete Mathematics (Up to College Level)

  • Algorithm
  • Generating Function
  • Binary
  • Logic
  • Binomial Coefficient
  • Magic Square
  • Binomial Theorem
  • Pascal's Triangle
  • Combinatorics
  • Permutation
  • Discrete Mathematics
  • Recurrence Relation
  • Fibonacci Number