University of Twente Student Theses

Login

Computing certificates for the graph realization problem on 3-connected graphs

Speek, G.W. (2021) Computing certificates for the graph realization problem on 3-connected graphs.

[img] PDF
880kB
Abstract:For the graph realization problem we are given a binary matrix, and we need decide if there exists a graph that is represented by the given matrix. If such a graph can be found, that matrix is graphic. The already exist algorithms that determine the graphicness of matrices. In this paper we present an algorithm that can reduce a non-graphic matrix with the use of a 3-connected graph represented by some graphic submatrix of the given matrix. The output can be used as certificate to verify the non-graphicness and could give some insight as to why a given matrix is non-graphic.
Item Type:Essay (Bachelor)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics BSc (56965)
Link to this item:https://purl.utwente.nl/essays/86689
Export this item as:BibTeX
EndNote
HTML Citation
Reference Manager

 

Repository Staff Only: item control page