On the 2-resonance of fullerenes

Tomas Kaiser (1) , Matej Stehlík (2) , Riste Škrekovski (3)

1 KMA - Katedra Matematiky - University of West Bohemia
2 G-SCOP_OC - Optimisation Combinatoire
3 FMF - Faculty of Mathematics and Physics [Ljubljana]

We show that every pair of hexagons in a fullerene graph satisfying the isolated pentagon rule (IPR) forms a resonant pattern. This solves a problem raised by Ye et al. [SIAM J. Discrete Math. 23(2):2009, p.1023-1044].

Mots clés: fullerene graph; perfect matching; resonant pattern; k-resonance

Domaines: Mathématique discrète [cs.DM]

Tomas Kaiser, Matej Stehlík, Riste Škrekovski. On the 2-resonance of fullerenes. SIAM Journal on Discrete Mathematics, 2011, 25 (4), pp.1737-1745. ⟨10.1137/10078699X⟩. ⟨hal-00676969⟩