Naslov
Matchings in $m$-generalized fullerene graphs

Autori
Behmaram, Afshin ; Došlić, Tomislav ; Friedland, Shmuel

Izvornik
ARS Mathematica Contemporanea (1855-3966) 11 (2016), 2; 301-313

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
perfect matching; Pfaffian graph; fullerene graph; Hadamard-Fischer inequality

Sažetak
A connected planar graph is called $m$-generalized fullerene if two of its faces are $m$-gons and all other faces are pentagons and hexagons. In this paper we first determine some structural properties of $m$-generalized fullerenes and then use them to obtain new results on the enumerative aspects of perfect matchings in such graphs. We provide both upper and lower bounds on the number of perfect matchings in $m$-generalized fullerene graphs and state exact results in some special cases.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA