Excess molar volumes, V-E, excess molar enthalpies, H-E and speeds of sound, u data of tetrahydropyran (i)+ cyclohexane or n-hexane or n-heptane (j) binary mixtures have been measured using dilatometer, calorimeter and interferometer over whole mole fraction range at 308.15K. Speeds of sound data have been utilized to predict isentropic compressibilities changes of mixing, kappa(E)(S). The analysis of V-E in terms of Graph theory reveals that (i + j) mixtures are characterized by dipole-induced dipole interactions between THP and cyclo or n-alkanes to form 1:1 molecular complex. H-E and kappa(E)(S) data of the investigated mixtures have also been analyzed in terms of Graph theory. V-E, H-E and kappa(E)(S) data predicted by Graph theory compare well with their corresponding experimental values. (C) 2010 Elsevier B.V. All rights reserved.