Aim and Objective: Sequence analysis is one of the foundations in bioinformatics. It is widely used to find out the
feature metric hidden in the sequence. Otherwise, the graphical representation of biologic sequence is an important tool for
sequencing analysis. This study is undertaken to find out a new graphical representation of biosequences.
Materials and Methods: The transition probability is used to describe amino acid combinations of protein sequences. The
combinations are composed of amino acids directly adjacent to each other or separated by multiple amino acids. The transition
probability graph is built up by the transition probabilities of amino acid combinations. Next, a map is defined as a representation from transition probability graph to transition probability vector by k-order transition probability graph. Transition
entropy vectors are developed by the transition probability vector and information entropy. Finally, the proposed method is
applied to two separate applications, 499 HA genes of H1N1, and 95 coronaviruses.
Results: By constructing a phylogenetic tree, we find that the results of each application are consistent with other studies.
Conclusion: the graphical representation proposed in this article is a practical and correct method.