Intuitively, a signed graph is a graph in which every edge is labeled with a + or − sign. For each edge, its sign represents the mode of the relationship between the vertices it...
A saw-toothed chessboard, or STC for short, is a kind of chessboard whose boundary forms two staircases from left down to right without any hole inside it. A rook at square (i, j)...
In this paper, we study the Minimum Sum Set Coloring (MSSC) problem which consists in assigning a set of x(v) positive integers to each vertex v of a graph so that the intersectio...
Hierarchical graphs and clustered graphs are useful non-classical graph models for structured relational information. Hierarchical graphs are graphs with layering structures; clus...
Peter Eades, Qing-Wen Feng, Xuemin Lin, Hiroshi Na...
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...