# University of Twente Student Theses

## 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.*

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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 |

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