Edge centrality measures are functions that evaluate the importance of edges in a network. They can be used to assess role backlink for popularity website as well flight virus spreading. Various node centralities have been translated apply edges, including Betweenness, Eigenedge (edge version eigenvector centrality), and PageRank. With this paper, we initiate discussion on axiomatic properties ...

In this article, various notions of edges encountered in digital image processing are reviewed in terms of compact representation (or completion). We show that critical exponents defined in Statistical Physics lead to a much more coherent definition of edges, consistent across the scales in acquisitions of natural phenomena, such as high resolution natural images or turbulent acquisitions. Edge...

The bicontraction of a vertex v of degree two in a graph, with precisely two neighbours v1 and v2, consists of shrinking the set {v1, v, v2} to a single vertex. The retract of a matching covered graph G, denoted by Ĝ, is the graph obtained from G by repeatedly bicontracting vertices of degree two. Up to isomorphism, the retract of a matching covered graph G is unique. If G is a brace on six or ...

We examine, from a geometrical point of view, the dynamics of a relativistic extended object with loaded edges. In the case of a Dirac-Nambu-Goto [DNG] object with DNG edges, the worldsheet m generated by the parent object is, as in the case without boundary, an extremal timelike surface in spacetime. Using simple variational arguments, we demonstrate that the worldsheet of each edge is a const...