Matching minors in bipartite graphs

Matching minors in bipartite graphs.jpg

Dublin Core

Title

Matching minors in bipartite graphs

Subject

matching minor

Description

n this thesis we adapt fundamental parts of the Graph Minors series of Robertson and Seymour for the study of matching minors and investigate a connection to the study of directed graphs. We develope matching theoretic to established results of graph minor theory: We characterise the existence of a cross over a conformal cycle by means of a topological property. Furthermore, we develope a theory for perfect matching width, a width parameter for graphs with perfect matchings introduced by Norin. here we show that the disjoint alternating paths problem can be solved in polynomial time on graphs of bounded width. Moreover, we show that every bipartite graph with high perfect matching width must contain a large grid as a matching minor. Finally, we prove an analogue of the we known Flat Wall theorem and provide a qualitative description of all bipartite graphs which exclude a fixed matching minor.

Creator

Wiederrecht, Sebastian cc

Source

https://library.oapen.org/handle/20.500.12657/57270

Publisher

Publisher: Universitätsverlag der Technischen Universität Berlin
Publisher website: https://verlag.tu-berlin.de/

Date

2022

Contributor

Tatik

Rights

https://creativecommons.org/licenses/by/4.0/

Format

PDF

Language

English

Type

Texkbooks

Identifier

DOI: 10.14279/depositonce-14958
ISBN: 9783798332522, 9783798332539

Document Viewer