connected graph

connected graph

[kə′nek·təd ′graf]
(mathematics)
A graph in which each pair of points is connected by a path.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

connected graph

(mathematics)
A graph such that there is a path between any pair of nodes (via zero or more other nodes).

Thus if we start from any node and visit all nodes connected to it by a single edge, then all nodes connected to any of them, and so on, then we will eventually have visited every node in the connected graph.
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)
References in periodicals archive ?
Let G = (V, E) be a connected graph. We define the distance as the minimum length of path connecting vertices u and v in G, denoted by d(u, v).
On the Locating Chromatic Number of Certain Barbell Graphs
A connected graph has excess if it has more edges than vertices.
The Maximal Length of 2-Path in Random Critical Graphs
Let G be a simple connected graph with vertex set V(G) and edge set E(G).
On the Resistance-Harary Index of Graphs Given Cut Edges
For a connected graph, the Laplacian matrix L is symmetric and positive semi definite.
Design of a Consensus Based Flocking Control of Multiple Autonomous Underwater Vehicles Using Sliding Mode Approach
They also recognize graphical properties that assuring unique localizability, and proposed an approach G2 to make the two-connected graph localizable and a G3 approach to obtain a trilateration graph based on a connected graph. These two approaches treat all vertices in the graph as complete, which is more coarse-grained than LAL.
Signature based intrusion detection system for Uwb wireless sensor networks
Given a connected graph G = (V, E) and a positive weight function w defined on E, then any w-minimum cut is a connected sides cut of G.
A Linear Time Algorithm for a Variant of the MAX CUT Problem in Series Parallel Graphs
In this paper, the undirected and connected graph G will be considered, where its L is positive semidefinite and its eigenvalues are presented by 0 = [[lambda].sub.1] < [[lambda].sub.2] [less than or equal to] ...
Consensus of Switched Multiagent Systems under Relative State Constraints
We examined both tweets and users in order to create a connected graph from them with links between user-user, user-tweet and tweet-tweet elements.
A hybrid credibility analysis method applied on Turkish tweets with TV news and discussion programs related content
All graphs considered in this paper are simple connected graph without loops and parallel link.
Application of n-distance balanced graphs in distributing management and finding optimal logistical hubs
A connected graph G is said to be double-[psi]-critical if each edge of G is double-[psi]-critical.
On graphs double-critical with respect to the colouring number
This notion does not depend on [x.sub.0], and when (X, d) is a connected graph with graph distance this notion is equivalent to the transience of the usual random walk on this graph (Proposition 2.2).
Invariant means for the wobbling group

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