In this paper, we investigate star color criticality of graphs and its relationship with color criticality by providing two types of planar graphs which are star color critical but not color critical.

A space design for the molecule of hydrocarbon based on the traditional group division method is developed, and a group vector space method (GVSM) for estimating critical property of hydrocarbon is proposed by using the module index of the group vector to characterize the group position in the molecule.

According to the past research report,we can obtain the critical property through directly measuring method and prediction method.

Determination of critical properties(t_c,p_c) of endothermic hydrocarbon fuels——RP-3 and simulated JP-7;

Based on these experimental data, the applicability of six empirical correlations for calculating critical properties of Talimu oil fractions were investigated.

Gauss mode is allowed to take a continuous spin value,so the study of Gauss mode is of great value to understand better the critical properties of ferromagnets.

We discuss a possible mechanism of criticality in environmental system and its critical characteristics.

Using the real-space renormalization group transformation method,critical behavior on two-dimension and d-dimension(d>2) X fractal lattices is studied.

By the application of the decimation real-space renormalization group transformation method, the critical behavior of the Ising model and Gaussian model on Sierpinski Gaskets are studied in the presence of external field, and their critical points and critical exponents are calculated.

Using the real-space renormalization group transformation method, critical behavior of the Gaussian model on two-dimension and %d%-dimension (%d%>2) X fractal lattices is studied.