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See all on WikipediaGraph theory - Wikipedia
In mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of vertices (also called nodes or points) which are connected by edges (also called arcs, links or lines). A distinction is made … See more
Definitions in graph theory vary. The following are some of the more basic ways of defining graphs and related mathematical structures.
Graph
In one restricted … See more
A graph is an abstraction of relationships that emerge in nature; hence, it cannot be coupled to a certain representation. The way it is represented depends on the degree of … See more
Graphs can be used to model many types of relations and processes in physical, biological, social and information systems. Many practical problems can be represented by … See more
The paper written by Leonhard Euler on the Seven Bridges of Königsberg and published in 1736 is regarded as the first paper in the history … See more
Enumeration
There is a large literature on graphical enumeration: the problem of counting graphs meeting … See moreWikipedia text under CC-BY-SA license Graph Theory | Brilliant Math & Science Wiki
WEBGraph theory is the study of mathematical objects known as graphs, which consist of vertices (or nodes) connected by edges. (In the figure below, the vertices are the …
Graph (discrete mathematics) - Wikipedia
In discrete mathematics, and more specifically in graph theory, a graph is a structure amounting to a set of objects in which some pairs of the objects are in some sense "related". The objects correspond to mathematical 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). Typically, a graph is depict…
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Tree (graph theory) - Wikipedia
WEBTree (graph theory) A labeled tree with 6 vertices and 5 edges. In graph theory, a tree is an undirected graph in which any two vertices are connected by exactly one path, or …
Graph theory - Simple English Wikipedia, the free encyclopedia
WEBGraph theory is a field of mathematics about graphs. A graph is an abstract [ disambiguation needed ] representation of: a number of points that are connected by …
Graph theory - Encyclopedia of Mathematics
WEBMar 15, 2023 · A branch of discrete mathematics, distinguished by its geometric approach to the study of various objects. The principal object of the theory is a graph and its …
Connectivity (graph theory) - Wikipedia
WEBIn mathematics and computer science, connectivity is one of the basic concepts of graph theory: it asks for the minimum number of elements (nodes or edges) that need to be …
Appendix : Glossary of graph theory - Wiktionary
WEBMay 5, 2024 · This is a glossary of graph theory —a mathematical theory of graphs consisting of vertices and edges that connect vertices. Contents: A B C D E F G H I J K …
5.1: The Basics of Graph Theory - Mathematics …
WEBWe sometimes refer to a graph as a general graph to emphasize that the graph may have loops or multiple edges. The edges of a simple graph can be represented as a set of two element sets; for example, …
Graph Theory - Wikibooks, open books for an open world
WEBAug 19, 2018 · Graph Theory is the study of interactions between nodes (vertices) and edges (connections between the vertices), and it relates to topics such as combinatorics, …
Glossary of graph theory - Wikipedia, the free encyclopedia
WEBApr 1, 2009 · [ edit] Basics. A graph G consists of two types of elements, namely vertices and edges. Every edge has two endpoints in the set of vertices, and is said to connect or …
Graph Theory/Definitions - Wikibooks, open books for an open world
WEBJun 13, 2020 · Several graph-theoretic concepts are related to each other via complement graphs: The complement of an edgeless graph is a complete graph and vice versa. The …
Algebraic graph theory - Wikipedia
WEBAlgebraic graph theory is a branch of mathematics in which algebraic methods are applied to problems about graphs. This is in contrast to geometric, combinatoric, or algorithmic …
graph theory - Wiktionary, the free dictionary
WEBApr 19, 2024 · graph theory. A graph, such as is the subject of graph theory. Noun. [ edit] graph theory ( countable and uncountable, plural graph theories) ( uncountable, …
Graph - Encyclopedia of Mathematics
WEBMar 15, 2023 · Graph. A set $V$ of vertices and a set $E$ of unordered and ordered pairs of vertices; denoted by $G (V,E)$. An unordered pair of vertices is said to be an edge, …
Spectral graph theory - Wikipedia
WEBIn mathematics, spectral graph theory is the study of the properties of a graph in relationship to the characteristic polynomial, eigenvalues, and eigenvectors of matrices …
Graph theory - Wikipedia
WEBIn mathematics, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of …
グラフ理論 - Wikipedia
WEBグラフ理論（グラフりろん、英: Graph theory ）は、ノード（節点・頂点、点）の集合とエッジ（枝・辺、線）の集合で構成されるグラフに関する数学の理論である。 グラフ（ …
Bridge (graph theory) - Wikipedia
WEBBridge (graph theory) A graph with 16 vertices and six bridges (highlighted in red) An undirected connected graph with no bridge edges. In graph theory, a bridge, isthmus, …
Geometric graph theory - Wikipedia
WEBGeometric graph theory in the broader sense is a large and amorphous subfield of graph theory, concerned with graphs defined by geometric means. In a stricter sense, …
Glossary of graph theory - Wikipedia
WEBThis is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes or vertices connected in pairs by lines or edges
Adjacency matrix - Wikipedia
WEBAdjacency matrix. In graph theory and computer science, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether …
Random graph - Wikipedia
WEBIn mathematics, random graph is the general term to refer to probability distributions over graphs. Random graphs may be described simply by a probability distribution, or by a …
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