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    • ▾Graph theory
      • •Matchings
      • •Minimum spanning tree
      • •Automorphisms of a graph
      • •Tournament graphs
      • ▾Basics of graph theory
        • •Intro to graphs
        • •Isomorphic graphs
        • •Walks, paths, and cycles
        • •Connected graphs
        • •Adjacency and degrees
        • •Subgraphs
        • •Graph components
        • •Adjacency lists, adjacency matrices, and incidence matrices
        • •Other simple planar graphs
        • •Regular graphs
      • •Intro to bipartite graphs
      • ▸Paths and cycles
        • ▸Eulerian cycles and paths
          • •Intro
          • •Using the theorem
        • •Hamiltonian cycles and paths
      • •Planar graphs
      • ▸Coloring
        • •Intro to vertex colorings
      • •Dijkstra's algorithm
      • •Fleury's algorithm
      • •Flows and cuts
      • •Kruskal's algorithm
      • •Minimum vertex covers
      • •Number of edges in a complete graph
      • •Perfect graph
      • •Size of tree is one less than order
      • ▸Trees
        • •Intro to trees
        • •Proving properties of trees
      • •Utilities puzzle
      • •What is a complete graph?
      • •What is a cubic graph?
      • •What is a maximal clique?
      • •What is an edge-induced subgraph?
      • •What is an irregular graph?
      • •What is a spanning subgraph?
      • •What is a vertex-induced subgraph?
      • •Intro to digraphs
      • •Combinatorics and graph theory
      • •Graceful labeling
     › Graph theory › Basics of graph theory

    Intro to graphs

    In this section, you will learn what graphs are and see examples of things which can be represented by graphs. You'll also learn how to identify the vertices and edges of a graph, and that some graphs can be drawn in multiple ways. Further, you'll learn how to identify simple graphs, the null graph, the empty graph, and the trivial graph. In addition to all this, you'll learn how each graph can be represented by its vertex and edge sets.

    Watch these videos in order:

    3801What is a Graph? | Graph Theory
    Wrath of Math
    3787Empty Graph, Trivial Graph, and the Null Graph | Graph Theory
    Wrath of Math