It is well known that determining the exact values of crossing number for circulant graphs is very difficult. Even so, some important results in this field are still proved. D.J. Ma was proved that the crossing number of C(2m + 2, m) is m + 1[8]. Then such problem for C(n, 3) was further solved [7]. Pak Tung Ho and X. Lin obtained accurate values for the crossover numbers of C (3m, m) and C (3m + 1, m)[4][5]. In this paper, as a complement, we show that the edges from the principal cycle of C(9, 3) do not cross each other in an optimal drawing.

Nowadays, international exchanges are becoming more and more frequent in the world. As a global language, English can establish a communication bridge between different countries and nationalities, and its importance is obvious. Since 2001, China has gradually added English education to the curriculum plan of primary schools in various regions. Later, with the deepening of the industry’s understanding of English teaching, the education reform has also followed up. It can be said that the level of educators and educates is rising spirally. However, there are still many restrictive factors in the current situation of primary school students’ learning English, among which the more prominent factors are the strength of English teachers and the evaluation mechanism for students’ learning achievements.

The Western capitalist system is an important part of the economy and society of the contemporary world, and it has played a huge role in the past few centuries. Nonetheless, with the continuous development of globalization, technological revolution and social change, the Western capitalist system is also facing a series of difficulties and new changes. This paper aims to explore the dilemma facing the Western capitalist system today, and to analyze and discuss the new changes.

Since January 1, 2016, the national population and family having two child policy comprehensively, the whole country gradually ushered in the second the arrival of the age of the child, in terms of my garden at this stage, the second child children have been accounted for dominated nearly 1/5 of the total number of children, for big kindergarten children, all of a sudden more than a new member in the home, he (she) to share the love of your family, Let the orderly life become no longer regular, their psychological more or less confused and anxious, this paper will from the perspective of kindergarten teachers in our kindergarten in the "two-child era" background to focus on the health of children's psychological practice and exploration.

How will children now stand in the world in the future, as a preschool teacher, what can we do? The author thinks that only by relying on multiple courses to constantly cultivate, cultivate and forge children, can they become the pillars of the country with high aspirations, equal attention to virtue and ability, common sense and practice, and the courage to explore!

For a long time, kindergarten literature reading course is often a mere formality, preschool children's reading invalid, random phenomenon. In order to improve preschool children's reading interest and reading comprehension ability, teachers should start from the core quality and deconstruct the characteristics of children's literature. Make use of multiple resources to optimize literary reading materials; Integrate contents in various fields and implement rich curriculum activities; Construct performance evaluation system and form reading evaluation model.

The continuous development of emerging economies represented by China and Russia has exacerbated the changes in the world political and economic landscape, and international organizations represented by the United Nations have led to inefficient dispute resolution mechanisms in international affairs due to their formalism and pluralism. On the contrary, G-groups has shown its flexibility and efficiency in global governance. However, the international community has been questioned G-group’s legitimacy for many years. This paper will take the G7 and G20 as examples, analyze the legitimacy problems in G-groups, explain their reform measures, and propose future reform directions to promote the development of G-groups, so as to help the international community to conduct global governance more effectively.

With the rapid development of society, college students are facing the dual pressure of study and employment, which leads to an endless stream of mental health problems, and has become the focus of society, schools and families. Therefore, it is particularly important to do a good job in college students’ mental health education. College counselors are good teachers and good friends of students. They play an important guiding role in college students’ mental health education. They play an important role in improving students’ personality and mental health. This paper analyzes the advantages of college students’ psychological health education, and puts forward the effective participation strategies of college Students’ psychological health education.