蒲公英图T_m^r的k-边优美指标集

设G=(V,E)是一个p点q边图.对于非负整数k,若存在双射f:E→{k,k+1,…,k+q-1},使得其导出映射f+:V→Zp,f+(u)≡∑(u,v)∈Ef(u,v)mod p也是一个双射,则称此图G是k-边优美的.称GEI(G)={k:G是k-边优美的}是G的边优美指标集.完全确定了蒲公英图Trm(m>0,r≥0)的边优美指标集.

蒲公英图的超边优美标号

1994年,Mitchem和Simoson在研究标号图的问题时,提出了超边优美图的概念。在随后的研究中,一些图被证明具有超边优美性质,同时关于超边优美图的一些猜想也被提出。本文利用递归方法构造了蒲公英图的超边优美标号,并证明了蒲公英图是超边优美图。

A Molecular Approach to Identification of the Chinese Drug“pu Gong Ying”(Herba Taraxaci)and Six Adulterants byDNA Fingerprinting Using Random Primed PolymeraseChain Resaction(PCR)

DNA fingerprinting among members of the Chinese drug Pu Gong Ying(Taraxacum mongolicum Hand,-Mazz.)and six adulterants of Tu Gong Ying were demonstrated with random-primed polymerase chain reaction(PCR)including arbitrarily primed polymerase chain reaction(AP-PCR)and random amplified polymorphic DNA(RAPD).Distinctive,reproducible genomic fingerprints from DNA from 7 species belonged to Compositae were generated with two long(20 and 24 mer)and one short(10 mer)randomly chosen primers.The Pu Gong Ying can be differentiated from six species of Tu Gong Ying according to the banding pattems of their amplified DNA on agarose gels.The results showed that AP-PCR and RAPD methods can be used for identifying Chinese drugs.Moreover,the Similarity Indexes of the genomic DNA fingerprints showed that Pu Gong Ying and its adulterants are unrelated.Therefore,AP-PCR and RAPD methods can be used for identifying Chinese drugs.