Seminar za biomatematiko in matematično kemijo - Arhiv

A fullerene is a 3-regular plane graph with only hexagonal and pentagonal faces, and models a pure carbon molecule. Nanotubes are a class of fullerenes that are cylindrical in shape and extremely useful in applications. The Clar number of a fullerene is a parameter related to its aromaticity and stability. In this talk, we partition nanotubes into two classes, those with relatively small and with relatively large Clar numbers. We describe the double bond structures, or perfect matchings, capable of forming in these two classes.

This is joint work with Jack Graver (Syracuse University) and Aaron Williams (Williams College).

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Let G be a finite simple undirected graph with n vertices and m edges. The energy of the graph G, denoted by E(G), is defined as the sum of the absolute values of all eigenvalues of G. In this talk we present some new bounds for E(G) in terms of n, m and the largest and smallest eigenvalues of G. A number of our results rely on the use of well-known inequalities.

This is joint work with Robert Jajcay and Ivan Gutman.

Join Zoom Meeting HERE!