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).
A
connected graph has excess if it has more edges than vertices.
Let G be a simple
connected graph with vertex set V(G) and edge set E(G).
For a
connected graph, the Laplacian matrix L is symmetric and positive semi definite.
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.
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.
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] ...
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.
All graphs considered in this paper are simple
connected graph without loops and parallel link.
A
connected graph G is said to be double-[psi]-critical if each edge of G is double-[psi]-critical.
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).