Abstract: There exists a mapping f: E (g)→{1,2, …, Q}, for an undirected connected graph G (p, q), where p is the number of vertices and q is the number of edges, the associated edges of those ...

Graphs and networks are powerful tools for representing connections or relationships between objects or people. They belong to a branch of mathematics called graph theory which is quite distinct from ...

When I try to use load_labels_from_file to import vertex from a csv file, I got an error said: pq: entry_id must be 1 .. 281474976710655 the vertex's id in csv is a ...

In this paper, we introduce a new simple but powerful general technique for the study of edge- and vertex-reinforced processes with super-linear reinforcement, based on the use of order statistics for ...

On independent random points U1,⋯ ,Un distributed uniformly on [0,1]d, a random graph Gn(x) is constructed in which two distinct such points are joined by an edge if the l∞-distance between them is at ...

The edge-domsaturation number ds'(G) of a graph G = (V, E) is the least positive integer k such that every edge of G lies in an edge dominating set of cardinality k. In this paper, we characterize ...