: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
Abstract. In the context of graph transformation we look at the operation of switching, which can be viewed as an elegant method for realizing global transformations of (group-labe...
Andrzej Ehrenfeucht, Jurriaan Hage, Tero Harju, Gr...
The problem of computing minimum distortion embeddings of a given graph into a line (path) was introduced in 2004 and has quickly attracted significant attention with subsequent ...
Pinar Heggernes, Daniel Meister, Andrzej Proskurow...
Graphs are powerful data structures that have many attractive properties for object representation. However, some basic operations are difficult to define and implement, for ins...
Miquel Ferrer, Ernest Valveny, Francesc Serratosa,...