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.