In this paper we study connections between planar graphs, Schnyder woods, and orthogonal surfaces. Schnyder woods and the face counting approach have important applications in gra...
A hub set in a graph G is a set U V (G) such that any two vertices outside U are connected by a path whose internal vertices lie in U. We prove that h(G) hc(G) c(G) h(G) + 1, ...
Tracy Grauman, Stephen G. Hartke, Adam Jobson, Bil...
—Many enterprises install multiple access links for fault tolerance or bandwidth enlargement. Dispatching connections through good links is the ultimate goal in utilizing multipl...
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Recently, a quantitative wiring diagram for the local neuronal network of cat visual cortex was described [T. Binzegger, R.J. Douglas, K.A.C. Martin, A quantitative map of the cir...
Jens Kremkow, Arvind Kumar, Stefan Rotter, Ad Aert...