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  2. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    Graph Theory with Applications to Engineering and Computer Science (PDF). Englewood, New Jersey: Prentice-Hall. ISBN 0-13-363473-6. Archived (PDF) from the original on 2019-05-17. Gibbons, Alan (1985). Algorithmic Graph Theory. Cambridge University Press. Golumbic, Martin (1980). Algorithmic Graph Theory and Perfect Graphs. Academic Press.

  3. List of graph theory topics - Wikipedia

    en.wikipedia.org/wiki/List_of_graph_theory_topics

    Bivariegated graph; Cage (graph theory) Cayley graph; Circle graph; Clique graph; Cograph; Common graph; Complement of a graph; Complete graph; Cubic graph; Cycle graph; De Bruijn graph; Dense graph; Dipole graph; Directed acyclic graph; Directed graph; Distance regular graph; Distance-transitive graph; Edge-transitive graph; Interval graph ...

  4. Pearls in Graph Theory - Wikipedia

    en.wikipedia.org/wiki/Pearls_in_Graph_Theory

    Pearls in Graph Theory: A Comprehensive Introduction is an undergraduate-level textbook on graph theory by Nora Hartsfield and Gerhard Ringel.It was published in 1990 by Academic Press [1] [2] [3] with a revised edition in 1994 [4] and a paperback reprint of the revised edition by Dover Books in 2003. [5]

  5. Transport network analysis - Wikipedia

    en.wikipedia.org/wiki/Transport_network_analysis

    The applicability of graph theory to geographic phenomena was recognized at an early date. Many of the early problems and theories undertaken by graph theorists were inspired by geographic situations, such as the Seven Bridges of Königsberg problem, which was one of the original foundations of graph theory when it was solved by Leonhard Euler in 1736.

  6. Elementary Number Theory, Group Theory and Ramanujan Graphs

    en.wikipedia.org/wiki/Elementary_Number_Theory...

    Its authors have divided Elementary Number Theory, Group Theory and Ramanujan Graphs into four chapters. The first of these provides background in graph theory, including material on the girth of graphs (the length of the shortest cycle), on graph coloring, and on the use of the probabilistic method to prove the existence of graphs for which both the girth and the number of colors needed are ...

  7. List coloring - Wikipedia

    en.wikipedia.org/wiki/List_coloring

    For a graph G, let χ(G) denote the chromatic number and Δ(G) the maximum degree of G.The list coloring number ch(G) satisfies the following properties.. ch(G) ≥ χ(G).A k-list-colorable graph must in particular have a list coloring when every vertex is assigned the same list of k colors, which corresponds to a usual k-coloring.

  8. Graph (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Graph_(discrete_mathematics)

    A graph with three vertices and three edges. A graph (sometimes called an undirected graph to distinguish it from a directed graph, or a simple graph to distinguish it from a multigraph) [4] [5] is a pair G = (V, E), where V is a set whose elements are called vertices (singular: vertex), and E is a set of unordered pairs {,} of vertices, whose elements are called edges (sometimes links or lines).

  9. Topological graph theory - Wikipedia

    en.wikipedia.org/wiki/Topological_graph_theory

    In mathematics, topological graph theory is a branch of graph theory. It studies the embedding of graphs in surfaces, spatial embeddings of graphs, and graphs as topological spaces. [1] It also studies immersions of graphs. Embedding a graph in a surface means that we want to draw the graph on a surface, a sphere for example, without two edges ...