On the role of hypercubes in the resonance graphs of benzenoid graphsSalem, Khaled (Avtor) Klavžar, Sandi (Avtor) Gutman, Ivan (Avtor) matematikateorija grafovbenzenoidni grafpopolno prirejanjeresonančni grafhiperkockamathematicsgraph theorybenzenoid graphperfect matchingresonance graphhypercubeThe resonance graph ▫$R(B)$▫ of a benzenoid graph ▫$B$▫ has the perfect matchings of ▫$B$▫ as vertices, two perfect matchings being adjacent if their symmetric difference forms the edge set of a hexagon of ▫$B$▫. A family ▫$mathscr{P}$▫ of pair-wise disjoint hexagons of a benzenoid graph ▫$B$▫ is resonant in ▫$B$▫ if ▫$B -- mathscr{P}$▫ contains at least one perfect matching, or if ▫$B -- mathscr{P}$▫ is empty. It is proven that there exists a surjective map ▫$f$▫ from the set of hypercubes of ▫$R(B)$▫ onto the resonant sets of B such that a ▫$k$▫-dimensional hypercube is mapped into a resonant set of cardinality ▫$k$▫.20062015-07-10 14:53:13Članek v reviji51515sl