Videos tagged with Graph Theory

The talk will consider ways of bounding the complexity of a graph as measured by the number of partitions satisfying certain properties. The approach adopted uses Vapnik Chervonenkis dimension techniques. An example of such a bound was given by Kleinberg et al (2004) with an application to network failure detection. We describe a new bound in the same vein that depends on the eigenvalues of the...

Graph matching plays a key role in many areas of computing from computer vision to networks where there is a need to determine correspondences between the components (vertices and edges) of two attributed structures. In recent years three new approaches to graph matching have emerged as replacements to more traditional heuristic methods. These new methods are: * Least squares - where the optima...

Lecture slides: Mining Large Graphs Networks –Social and Technological Examples of Networks Networks of the Real-world Mining Social Network Data Networks as Phenomena Models and Laws of Networks Networks: Rich Data Networks: A Matter of Scale Networks: Scale Matters Structure vs. Process Structure of Networks Diffusion in Networks Tutorial outline Mining Large GraphsPart 1: Structure and...

Pajek is a program (for Windows) for large network analysis and visualization. It is freely available for noncommercial use at http:vlado.fmf.uni-lj.si/pub/networks/pajek/ Besides ordinary networks Pajek supports also multi-relational and temporal networks. In large network analysis we are often interested in important parts of given network. There are several ways how to determine them. The is...

In this paper we propose a quadratic programming approach to computing the edit distance of graphs. Whereas the standard edit distance is defined with respect to a minimum-cost edit path between graphs, we introduce the notion of fuzzy edit paths between graphs and provide a quadratic programming formulation for the minimization of fuzzy edit costs. Experiments on real-world graph data demonstr...

In this paper, we propose a highly robust point-matching method (Graph Transformation Matching - GTM) relying on finding the consensus graph emerging from putative matches. Such method is a two- phased one in the sense that after finding the consensus graph it tries to complete it as much as possible. We successfully apply GTM to image registration in the context of finding mosaics from retinal...

Lecture slides: Things related to PageRank Covering projections in algebraic topology Covering projections in modern mathematics From covering projections to fibrations My own personal relation with fibrations A graph is a graph is a graph... Graph morphisms Graph fibration A graph fibration is... A basic ingredient: universal total graph Basic property of universal total graphs Minimum base Ma...

In the field of structural pattern recognition graphs constitute a very common and powerful way of representing patterns. In contrast to string representations, graphs allow us to describe relational information in the patterns under consideration. One of the main drawbacks of graph representations is that the computation of standard graph similarity measures is exponential in the number of inv...