A nonnegative integer sequence π is graphic if there is some simple graph G having degree sequence π. In that case, G is said to realize or be a realization of π. A given degree sequence may have many realizations, and it has been of interest to examine the spectrum of properties and parameters that occur across these realizations. In this survey, we present five areas of recent research on gra...

We introduce a new 2D graphic representation of DNA sequences considering codon degeneracy. Derived from the graphic representation, a multi-component vector is proposed to characterize quantitatively DNA sequences. Then we use the graphic representation and the vector to perform the phylogenetic analysis on two datasets, the complete coding sequences of the  -globin genes of 11 species and th...

Graphic symbols are often used to represent words in Augmentative and Alternative Communication systems. Previous findings suggest that different processes operate when using graphic symbols and when using speech. This study assessed the ability of native speakers of French with no communication disorders from four age groups to interpret graphic-symbol sequences of varying length and canonicit...

A sequence of nonnegative integers is k-graphic if it is the degree sequence of a kuniform hypergraph. The only known characterization of k-graphic sequences is due to Dewdney in 1975. As this characterization does not yield an efficient algorithm, it is a fundamental open question to determine a more practical characterization. While several necessary conditions appear in the literature, there...

Jeerey 10] proposed a graphic representation of DNA sequences using Barns-ley's iterative function systems. In spite of further developments in this direction 19, 25, 13], the proposed graphic representation of DNA sequences has been lacking a rigorous connection between its spatial scaling characteristics and the statistical characteristics of the DNA sequences themselves. We 1) generalize Jee...