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Colourings of symmetric configurations of triples

Fri
4
Mar
Time Friday 4 March, 2022 at 13:15 - 14:00
Place Zoom

Abstract: A symmetric configuration $v_3$ is an incidence structure consisting of $v$ points and $v$ blocks; each block contains three points, each point is in three blocks and no pair of points appears in more than one block. There are two natural colouring problems associated with these objects: a weak colouring is a colouring of the points such that no block is monochromatic, and a strong colouring is a colouring such that no colour appears more than once in a block. In this talk I will explore the history of the weak colouring problem and the related idea of blocking sets in a configuration. I will describe the relationship between the weak and strong chromatic numbers, and mention a number of open problems.

This is joint work with Terry Griggs and Jozef Širáň.

Contact Maryam Sharifzade to receive the Zoom link.

 

Event type: Seminar

Speaker: Grahame Erskine, Open University, UK

Contact
Maryam Sharifzadeh
Read about Maryam Sharifzadeh