  The investigations carried out in this paper show the influence of cutoff
dipole interaction radius and dilution on the basic thermodynamic
characteristics of the kagome artificial spin ice with free boundary
conditions. The phase transition disappearance at the dipole interaction radius
limitation was shown in our previous study by Shevchenko {\it et al.} [JETP
{\bf 124}(6), 982-993 (2017)]. This work continues this study and answers the
question of the coordination spheres numbers that must be taken into account,
in order not to lose the basic collective phenomena. The answer is at least
three coordination spheres with 14 nearest neighbors must be taken into account
for kagome artificial spin ice. Restriction to a smaller cutoff radius leads to
significant changes in the thermodynamic behavior of the main characteristics
of the system. An increase of the interaction radius shifts the phase
transition temperature to the low-temperature area. The effects of dilution on
kagome artificial spin ice were also investigated. It is shown that the phase
transition occurs up to $p_c\approx0.35$ dilution concentrations, that well
coincides with the Sykes and Essam theory. Further dilution leads to the phase
transition disappearance.
