# Novel Graphical Representation and Numerical Characterization of DNA Sequences
## 3 Results and Discussion
Thus \(K\) is calculated as 5, and each of the 34 viruses is converted into a 15-D vector. The phylogenetic tree constructed by our method is shown in Figure 5. \begin{table}
\begin{tabular}{c c c c c} \hline
**No.** & **Strain** & **AC (GenBank)** & **Type** & **Region** \\ \hline
1 & CGRn53 & EF990907 & HTNV & Guizhou \\
2 & CGRn5310 & EF990906 & HTNV & Guizhou \\
3 & CGRn93 MP8 & EF990905 & HTNV & Guizhou \\
4 & CGRn8316 & EF990903 & HTNV & Guizhou \\
5 & CGRn9415 & EF990902 & HTNV & Guizhou \\
6 & CGRn93P8 & EF990904 & HTNV & Guizhou \\
7 & CCHu3612 & EF990909 & HTNV & Guizhou \\
8 & CGHu3614 & EF990908 & HTNV & Guizhou \\
9 & Z10 & AF184987 & HTNV & Shengzhou \\
10 & Z5 & EF103195 & HTNV & Shengzhou \\
11 & NC167 & AB027523 & HTNV & Anhui \\
12 & CGA4 MP9 & EF990915 & HTNV & Guizhou \\
13 & CGA4P15 & EF990914 & HTNV & Guizhou \\
14 & CGA1011 & EF990913 & HTNV & Guizhou \\
15 & CGAa1015 & EF990912 & HTNV & Guizhou \\
16 & H5 & AB127996 & HTNV & Heilongjiang \\
17 & 76-118 & M14626 & HTNV & South \\
18 & Gou3 & AF184988 & SEOV & Jiande \\
19 & ZJ5 & FJ753400 & SEOV & Jiande \\
20 & 80-39 & AY273791 & SEOV & South \\  & & & Korea \\
21 & SR11 & M34881 & SEOV & Japan \\
22 & K24+e7 & AF288653 & SEOV & Xinchang \\
23 & K24-v2 & AF288655 & SEOV & Xinchang \\
24 & Z37 & AF187082 & SEOV & Wenzhou \\
25 & ZT10 & AY766368 & SEOV & Tiantai \\
26 & ZT71 & AY750171 & SEOV & Tiantai \\
27 & K27 & L08804 & PUUV & Russia \\
28 & P360 & L11347 & PUUV & Russia \\
29 & Sotkamo & X61035 & PUUV & Finland \\
30 & Fusong843-06 & EF488805 & PUUV & Jilin \\
31 & Fusong199-05 & EF488803 & PUUV & Jilin \\
32 & Fusong900-06 & EF488806 & PUUV & Jilin \\
33 & 91045-AG & KF297911 & PV & Iran \\
34 & I-58 & KF297914 & PV & Iran \\ \hline \end{tabular}
\end{table} 
Table 5: Sequence information of S segment of hantavirus. From Figure 5, we find that the two PV strains form an independent branch, which can be distinguished easily from the HV strains, while the 32 HVs are grouped into three separate branches: the strains belonging to PUUV are clearly clustered together, the strains belonging to SEOV appear to cluster together, and so do the ones belonging to HTNV. A closer look at the subtree of HTNV, all CGRn strains whose host is _Rattus norvegicus_ tend to cluster together, so it is with the CGHu strains whose host is Homo sapiens. In addition, all the four CGAa strains whose host is _Apodemus agarius_ are grouped closely. Needless to say, the phylogeny is not only closely related to the isolated regions, but also has certain relationship with the host. This result is similar to that reported in [12,37]. The mitogenome dataset comprises 70 complete mitochondrial genomes of Eukaryota. The name, accession number, and genome length are listed in Table 6. Among them, two species (_Argopecten irradians irradians_ and _Argopecten purpuratus_) belong to family Pectinidae are used as the out-group. Four species belong to the Order Caudata under the Class Amphibia, while four species belong to the Order Anura under the same Class. The remaining belongs to the Class Actinoptergygi. The average length of the 70 genome sequences is about 16817 bp. Thus, \(K\) is calculated as 6, and each  
Figure 5: The relationship tree of 34 viruses. of these genome sequences is converted into an 18-D vector. The phylogenetic tree constructed by our method is shown in Figure 6. It is easy to see from Figure 6 that the two _Pectinidae_ species stay outside of the others, while the four _Hypoiidae_ species and four _Rantiae_ species form an independent branch. In the subtree of the Class Actinopterygii, the 60 genomes are separated into six groups: group 1 corresponds to genus _Anguilla_ under family Anguillidae; group 2 includes genera _Bangana_ and _Acrossoheilus_ under family Cyprinidae; group 3 includes genera _Brachymystax_ and _Hucho_ under family Salmonella; group 4 is genus _Alepoccephalus_ under family Alepoccephalidae; group 5 is the family of Clupeidae; group 6 includes genera _Trichiurus_, _Ampliprion_ and _Apolemichthys_ under Acanthomorpha.