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  2. Graph theory - Wikipedia

    en.wikipedia.org/wiki/Graph_theory

    Download as PDF; Printable version; ... graph theory is the study of graphs, ... Graphs are one of the principal objects of study in discrete mathematics. Definitions

  3. Graph (discrete mathematics) - Wikipedia

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

    In discrete mathematics, particularly in graph theory, a graph is a structure consisting of a set of objects where some pairs of the objects are in some sense "related". The objects are represented by abstractions called vertices (also called nodes or points ) and each of the related pairs of vertices is called an edge (also called link or line ...

  4. Category:Theorems in graph theory - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in_graph...

    Download as PDF; Printable version; In other projects Wikidata item; ... Pages in category "Theorems in graph theory" The following 54 pages are in this category, out ...

  5. Vertex (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Vertex_(graph_theory)

    A graph with 6 vertices and 7 edges where the vertex number 6 on the far-left is a leaf vertex or a pendant vertex. In discrete mathematics, and more specifically in graph theory, a vertex (plural vertices) or node is the fundamental unit of which graphs are formed: an undirected graph consists of a set of vertices and a set of edges (unordered pairs of vertices), while a directed graph ...

  6. Journal of Graph Theory - Wikipedia

    en.wikipedia.org/wiki/Journal_of_Graph_Theory

    The Journal of Graph Theory is a peer-reviewed mathematics journal specializing in graph theory and related areas, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs.

  7. Cycle (graph theory) - Wikipedia

    en.wikipedia.org/wiki/Cycle_(graph_theory)

    In graph theory, a cycle in a graph is a non-empty trail in which only the first and last vertices are equal. A directed cycle in a directed graph is a non-empty directed trail in which only the first and last vertices are equal. A graph without cycles is called an acyclic graph. A directed graph without directed cycles is called a directed ...

  8. 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 ...

  9. Category:Theorems in discrete mathematics - Wikipedia

    en.wikipedia.org/wiki/Category:Theorems_in...

    Download as PDF; Printable version; ... Theorems in graph theory (1 C, 54 P) Pages in category "Theorems in discrete mathematics"