# Graph Theory

In mathematics and computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects from a certain collection. A "graph" in this context is a collection of "vertices" or "nodes" and a collection of edges that connect pairs of vertices. A graph may be undirected, meaning that there is no distinction between the two vertices associated with each edge, or its edges may be directed from one vertex to another; see graph (mathematics) for more detailed definitions and for other variations in the types of graph that are commonly considered. Graphs are one of the prime objects of study in discrete mathematics.

The graphs studied in graph theory should not be confused with the graphs of functions or other kinds of graphs.

Refer to the glossary of graph theory for basic definitions in graph theory.

### Other articles related to "graphs, graph theory, graph, theory":

Martin Charles Golumbic - Bibliography
... "Perfect Elimination and Chordal Bipartite Graphs" ... Journal of Graph Theory 2 (2) 155–163. 11th Southeastern Conference on Combinatorics, Graph Theory and Computing, Congressus Numerantium, Utilitas Math ...
Problems in Graph Theory - Graph Classes
... problems involve characterizing the members of various classes of graphs ... does one property of graphs imply another) Finding efficient algorithms to decide membership in a class Finding representations for members of a class ...
Matrix (mathematics) - Applications - Graph Theory
... The adjacency matrix of a finite graph is a basic notion of graph theory ... It saves which vertices of the graph are connected by an edge ... Therefore, specifically tailored matrix algorithms can be used in network theory ...
List Of Mathematics Categories - Mathematics Categories - G
... Galois theory Games (probability) Gamma and related functions General topology Generalizations of the derivative Generalized functions Generalized hyperbolic ...
Topology (electrical Circuits) - Graph Theory - Infinite Networks
... Perhaps, the earliest network with an infinite graph to be studied was the ladder network used to represent transmission lines developed, in its final form, by Oliver Heaviside in 1881 ...

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