Alavi and his fellows defined the concept of ascending subgraph decomposition of a graph and conjectured that every graph with positive size has an ascending subgraph decomposition in paper [1]. Paper [2] proved that ...Alavi and his fellows defined the concept of ascending subgraph decomposition of a graph and conjectured that every graph with positive size has an ascending subgraph decomposition in paper [1]. Paper [2] proved that K n-R n-1 has a star ascending subgraph decomposition,here K n is the complete graph with order n and R n-1 is a subgraph of K n with size at most n-1. In paper [3],Ma Kejie and Chen Huaitang proved that K n-R n has an ascending subgraph decomposition when the size of R n is not greater than n. In this paper we will prove K n-R has an ascending subgraph decomposition when the size of R is less than 3n/2. This paper will also give the concept of comet and prove that K n-R n-1 has a comet ascending subgraph decomposition.展开更多
Australian dollar (AUD) maintains a fluctuant increase for long period, but in recent two years, this currency represents an anomalistic change. In order to forecast the trend of AUD, this essay examines the exchang...Australian dollar (AUD) maintains a fluctuant increase for long period, but in recent two years, this currency represents an anomalistic change. In order to forecast the trend of AUD, this essay examines the exchange rate of AUD in then years from March of 2000 to March of 2010, and argues the factors which create these trend changes. By means of secondary research and graphs analysis, the relevant evidence and argument was selected into four terms below: relative raw materials prices changes, relative domestic price level and Import-Expert changes, relative interest rate changes, and other factors. The examples based on the theoretics, graphs, statistics and experts' opinions.展开更多
文摘Alavi and his fellows defined the concept of ascending subgraph decomposition of a graph and conjectured that every graph with positive size has an ascending subgraph decomposition in paper [1]. Paper [2] proved that K n-R n-1 has a star ascending subgraph decomposition,here K n is the complete graph with order n and R n-1 is a subgraph of K n with size at most n-1. In paper [3],Ma Kejie and Chen Huaitang proved that K n-R n has an ascending subgraph decomposition when the size of R n is not greater than n. In this paper we will prove K n-R has an ascending subgraph decomposition when the size of R is less than 3n/2. This paper will also give the concept of comet and prove that K n-R n-1 has a comet ascending subgraph decomposition.
文摘Australian dollar (AUD) maintains a fluctuant increase for long period, but in recent two years, this currency represents an anomalistic change. In order to forecast the trend of AUD, this essay examines the exchange rate of AUD in then years from March of 2000 to March of 2010, and argues the factors which create these trend changes. By means of secondary research and graphs analysis, the relevant evidence and argument was selected into four terms below: relative raw materials prices changes, relative domestic price level and Import-Expert changes, relative interest rate changes, and other factors. The examples based on the theoretics, graphs, statistics and experts' opinions.