This paper presents a construction of a minimum cycle basis for the direct product of two complete graphs on three or more vertices. With the exception of two special cases, such ...
In this paper we introduce and discuss a graph structure associated with longest-edge algorithms (algorithms based on the bisection of triangles by the longest-edge) which can be u...
A star forest of a graph G is a spanning subgraph of G in which each component is a star. The minimum number of edges required to guarantee that an arbitrary graph, or a bipartite...
Sheila Ferneyhough, Ruth Haas, Denis Hanson, Gary ...
Abstract. In this paper we consider the problem of simultaneous drawing of two graphs. The goal is to produce aesthetically pleasing drawings for the two graphs by means of a heuri...
Abstract. We develop a generic framework for deriving linear-size problem kernels for NP-hard problems on planar graphs. We demonstrate the usefulness of our framework in several c...