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# Seminár z teórie grafov - Jozef Širáň (1.12.2022)

## vo štvrtok 1.12.2022 o 9:50 hod. v miestnosti M/213

29. 11. 2022 11.30 hod.

Prednášajúci: Jozef Širáň (STU Bratislava)

Názov: A computer-free classification of orientably-regular maps of genus \$p+1\$ for prime \$p\$

Termín: 1.12.2022, 9:50 hod., M 213

Abstrakt:
In 2010, M. Conder, T. Tucker and the presenter published a classification of orientably-regular maps of genus \$p+1\$ for primes \$p > 13\$, with a computer-free proof for \$p > 83\$; for primes \$p\$ in the range \$17 \le p \le 83\$ part of the argument relied on computational results of M. Conder. Classification of such maps for \$p\le 7\$ was available by earlier results going back to 1930s -- 1980s, however, in a number of cases without explicit proofs.

In the talk we will give an outline of methods and results leading to a computer-free classification of orientably-regular maps of genus \$p+1\$ for all primes \$p\le 83\$ (and hence for all primes \$p\$). This is a report on a joint work with M. Bachraty, M. Conder and J. Siagiova.

Stránka seminára