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Thesis topic proposal
 
János Barát
Edge-decompositions of graphs with a condition on the edge-connectivity

THESIS TOPIC PROPOSAL

Institute: University of Szeged
mathematics and computing
Mathematics Doctoral School

Thesis supervisor: János Barát
Location of studies (in Hungarian): Bolyai Institute, Faculty of Science and Informatics, University of Szeged, Hungary
Abbreviation of location of studies: MatDI


Description of the research topic:

Let G be a 3-edge-connected graph. We would like to partition the edge set into parts (as few as possible) such that the removal of any part leaves a 2-edge-connected subgraph. It can be shown that 9 parts are sufficient, and there are graphs, where 4 parts are necessary. The problem is interesting for other odd connectivities. Moreover, a similar notion called Frank number is studied for 3-edge-connected graphs. Here there is a possibility to generalise to other odd integers.

Required language skills: English
Further requirements: 
Stipendium Hungaricum

Number of students who can be accepted: 1

Deadline for application: 2024-12-31


2024. IV. 17.
ODT ülés
Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).

 
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