Mathematical Continuity in Dynamic Social Networks

  title={Mathematical Continuity in Dynamic Social Networks},
  author={John L. Pfaltz},
A rigorous concept of continuity for dynamic networks is developed. It is based on closed, rather than open, sets. It is local in nature, in that if the network change is discontinuous it will be so at a single point and the discontinuity will be apparent in that point’s immediate neighborhood. Necessary and sufficient criteria for continuity are provided when the change involves only the addition or deletion of individual nodes or connections (edges). Finally, we show that an effective network… CONTINUE READING


Publications referenced by this paper.
Showing 1-10 of 35 references

Connected, The surprising Power of Our Social Networks and How They Shape Our Lives

  • Nicholas A. Christakis, James H. Fowler
  • 2009
Highly Influential
7 Excerpts

Graph Theory: Modeling, Applications and Algorithms

  • Geir Agnarsson, Raymond Greenlaw
  • 2007
Highly Influential
7 Excerpts


  • A. Saito
  • Graphs and Combinatorics. Springer,
  • 2010
1 Excerpt

Jamison . The Theory of Convex Geometries

  • Paul H. Edelman, E. Robert
  • Geometriae Dedicata
  • 2009

Šlapal. Neighborhood Transformations

  • John L. Pfaltz, Josef
  • In 40th Southeastern International Conf. on…
  • 2009
1 Excerpt

Pfaltz . Establishing Logical Rules from Empirical Data

  • L. John
  • Intern . Journal on Artificial Intelligence Tools
  • 2008

Similar Papers

Loading similar papers…