A pair of mathematicians solved a legendary question about the proportion of vertices in a graph with an odd number of connections. “It’s a bit of a surprise, at least for me, that such a combination ...

The incidence matrices of various graphs are considered. By reordering the points, the bandwidth can be changed. In the cases of rectangular grids in the plane or cubic grids in three dimensions, the ...

Recently, a research team from Hokkaido University made significant progress in the complexity study of the Hitting Geodesic Intervals (HGI) problem. The HGI problem aims to find a small set of ...

This is a preview. Log in through your library . Abstract This paper is mainly concerned with the realizability of a set of n integers as the degrees of vertices of an n-vertex linear graph. Other ...

Gallai–Ramsey theory lies at the intersection of graph colouring and Ramsey theory, providing a framework for understanding how structures emerge in edge-coloured graphs. Central to this domain is the ...

Soo Kim announced on the 8th of September that the team has developed a new DB system named 'Chimera' that fully integrates ...

A next-generation graph-relational database (DB) system has been developed in South Korea. If this system is applied in ...