6.12.2011, 15.45 – 17.00
Room 426, Building 8
It is a joint work with Mathieu Dutour Sikiric
Given R ÌN, a (R; k)-sphere is a finite connected k-regular plane graph whose
only i-gonal, i ÎR, faces. Such ({a, b}; k)-spheres with
(a, b; k) = (5, 6; 3) or (4, 6; 3) and (R; 4)
correspond to carbon or boron nitride fullerenes and projections of alternating
links, respectively.
We consider ({a, b}; k)-spheres with 1 £ a < b = 2k/(k–2). So, 4, 2, 2 infinite families with (b, k) = (6, 3), (4, 4), (3, 6).
Their symmetry groups, parametrizing, zigzag (or central circuit) and railroad structure are presented.
Some results are generalized on ({a, b}, k)-discs and ({a, b}, k)-maps on surfaces.
Light refreshments will be served at 15:30.
Anyone who is interested in giving a talk in the seminar, please contact us.
Organizers:
Dr. Alexander Spivak
Dr. Yulia Kempner
Dr.
