# connected graph

## connected graph

[kə′nek·təd ′graf]
(mathematics)
A graph in which each pair of points is connected by a path.

## 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.
References in periodicals archive ?
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.
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.
Lu and Guo gave a matrix aggregation scheme based on an undirected connected graph theory.
A connected graph G is said to be double-[psi]-critical if each edge of G is double-[psi]-critical.
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.
We therefore adopt and extend the approach employed by Mike Keith to study the related problems of king-and queen-graphable words [2], Specifically, we define an alphabet A as a set of letters, and a word graph for a word with 1 [less than or equal to] n [less than or equal to] [absolute value of A] distinct letters as the connected graph of order n that has an edge (a<sub>1</sub>, a<sub>2</sub>) if the letters a<sub>1</sub>, a<sub>2</sub> [member of] A are adjacent to each other in the word, irrespective of order.
n] is a connected graph on n vertices each with degree two.
Let G be a connected graph with n vertices and m edges.
For a simple connected graph G the square of G is denoted by [G.
A CDS is a sub graph of a given undirected connected graph such that all nodes in the graph are included in the CDS or directly attached to a node (i.
That the NTRLA_D problem is NP-complete follows with the Restriction method, using the following Lemma 1 which considers the special case of finding an optimal configuration in a given connected graph.
For every odd positive integer [alpha] > 3, find a connected graph G different from a tree, such that [alpha](G) = [alpha], and I(G;x) is palindromic and has only real roots.

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