Fakulta matematiky, fyziky
a informatiky
Univerzita Komenského v Bratislave

# Seminár z teórie grafov - Martin Knor (19.11.2020)

## vo štvrtok 19.11.2020 o 9:50 hod.

17. 11. 2020 21.51 hod.

Prednášajúci: Martin Knor (STU Bratislava)

Názov: Distance based indices in nanotubical graphs

Termín: 19.11.2020, 9:50 hod.

Prístupový kód do MS TEAMS (pre používateľov z UK): gglxxc7
Pripojenie (pre hostí mimo UK)

Abstrakt:
Nanotubical graphs are obtained by wrapping a hexagonal grid, and then possibly closing the tube with caps. We derive asymptotics for several distance-based generalized chemical indices which are of the form $$I^{\lambda}(G)=\sum_{u\ne v}f(u,v)dist^{\lambda}(u,v),$$ where $\lambda$ is a real number and $f(u,v)$ is a nonnegative symmetric function which is non-decreasing and which depends only on degrees of $u$ and $v$. All our results are obtained using double integrating and they show that the leading term depends on the circumference of the nanotube and not on its particular type.

This is a joint work with Vesna Andova and Riste Skrekovski