Measurements of densities, rho, rho(123) and speeds of sound, u, u(123) of binary 1,3-dioxolane (1) + 1,4-dioxane (2) and ternary 1,3-dioxolane (1) + N-methylpyrrolidi-2-one or 1,4-dioxane (2) + cyclohexanone or cycloheptanone (3) mixtures have been carried out over the entire range of mole fraction at 293.15, 298.15, 303.15, 308.15 K and atmospheric pressure. The excess molar volumes, V-12(E), V-123(E) and excess isentropic compressiblities, (kappa(E)(S))(12), (kappa(E)(S))(123) have been determined from experimental data. The V-123(E) and (kappa(E)(S))(123) data for 1,3-dioxolane (1) + N-methylpyrrolidin-2-one (2) + cyclohexanone or cycloheptanone (3) and 1,3-dioxolane (1) + 1,4-dioxane (2) + cycloheptanone (3) mixture are negative over entire composition of (1) and (2). While V-123(E) for 1,3-dioxolane (1) + 1,4-dioxane (2) + cyclohexanone (3) are positive across full range of compositions of (1) and (2); the sign and magnitude of (kappa(E)(S))(123) values vary with change in composition of the constituent molecules. The V-12(E), V-123(E) and (kappa(E)(S))(12), (kappa(E)(S))(123) data have been fitted to RedlichKister equation to determine binary, ternary adjustable parameters and standard deviations. The V-123(E) and (kappa(E)(S))(123) data have been analyzed in terms of Graph Theory. It has been observed that Graph theory correctly predicts the sign as well as magnitude of V-123(E) and (kappa(E)(S))(123) data of the studied ternary mixtures. (C) 2018 Elsevier Ltd.