Graph Eccentricity -- from Wolfram MathWorld
Jan 7, 2025 · The eccentricity epsilon(v) of a graph vertex v in a connected graph G is the maximum graph distance between v and any other vertex u of G. For a disconnected graph, all vertices are defined to have infinite eccentricity (West 2000, p. 71).
Graph measurements: length, distance, diameter, eccentricity ...
Oct 1, 2024 · Eccentricity of graph – It is defined as the maximum distance of one vertex from other vertex. The maximum distance between a vertex to all other vertices is considered as the eccentricity of the vertex.
Eccentricity, Radius, Diameter, Center, and Periphery - Baeldung
Mar 18, 2024 · In this article, we explained several concepts from graph theory: eccentricity, radius, diameter, center, and periphery. The diameter is always smaller than twice the radius, and the center minimizes the worst-case distances to other nodes in a graph.
Graph Measurements in Discrete Mathematics - Javatpoint
The symbol e(V) is used to indicate the eccentricity of a graph. Notation - e(V) We will first calculate the distance between a particular vertex to all other vertices, and after that, we will find the highest distance between all of the distances.
Graph Theory - Basic Properties - Online Tutorials Library
The distance from a particular vertex to all other vertices in the graph is taken and among those distances, the eccentricity is the highest of distances. Example. In the above graph, the eccentricity of ‘a’ is 3. The distance from ‘a’ to ‘b’ is 1 (‘ab’), from ‘a’ …
Eccentricity of a Vertex | Graph Theory - YouTube
Sep 5, 2020 · What is the eccentricity of a vertex in graph theory? That's what we'll be defining in today's lesson! We'll also discuss the diameter of a graph in terms of...
Radius, diameter and center of graph - Mathematics Stack …
The eccentricity $ecc(v)$ of $v$ in $G$ is the greatest distance from $v$ to any other node. The radius $rad(G)$ of $G$ is the value of the smallest eccentricity. The diameter $diam(G)$ of $G$ is the