Recently Boldi and Vigna proposed axioms that would characterize good notions of centrality. We study a random-walk version of closeness centrality and prove that is satisfies Boldi-Vigna axioms for non-directed graphs.

The spectral closeness of a graph G is defined as the radius matrix , whose ( u v )-entry for vertex and 2 − d u,v ) if ≠ 0 otherwise, where distance between in . residual nontrivial minimum subgraphs with one deleted. We propose local grafting operations that decrease or increase determine those graphs uniquely minimize and/or maximize some families graphs. also discuss extremal properties clo...

One of the most important research topics about complex networks
 is examination their vulnerability. Therefore, there are many studies
 in literature analyzing robustness and reliability using graph theoretical parameters. Among these parameters, centrality
 parameters play an role.The closeness its derivatives
 widely discussed. In this study, parameter more sensitive&#x0D...

In this paper, we present and compare various centrality measures for graphbased keyphrase extraction. Through experiments carried out on three standard datasets of different languages and domains, we show that simple degree centrality achieve results comparable to the widely used TextRank algorithm, and that closeness centrality obtains the best results on short documents.

In the US House and Senate, each piece of legislation is sponsored by a unique legislator. In addition, legislators can publicly express support for a piece of legislation by cosponsoring it. The network of sponsors and cosponsors provides information about the underlying social networks among legislators. I use a number of statistics to describe the cosponsorship network in order to show that ...

We investigate the correlation between the information theoretic measure of empowerment and the graph theoretic measure of closeness centrality, to better understand the structural conditions that must exist in a world for learning and adaptation. We examine both measures in both a simple gridworld scenario, represented as a graph, and on a scale-free graph. We show a strong correlation between...

Have you ever wondered what God’s inner emotional life might be like? Within Christian thought, there are conflicting answers to this question. The majority of theologians throughout history have said that God cannot moved by creatures feel anything. does not literally empathy, mercy, or compassion. Instead, only feels pure undisturbed happiness. This view is called divine impassibility. In the...