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» Computing Graph Roots Without Short Cycles
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COLOGNETWENTE
2009
13 years 6 months ago
Colored Trees in Edge-Colored Graphs
We consider maximum properly edge-colored trees in edge-colored graphs Gc . We also consider the problem where, given a vertex r, determine whether the graph has a spanning tree r...
A. Abouelaoualim, V. Borozan, Yannis Manoussakis, ...
GD
2003
Springer
13 years 11 months ago
Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles
A drawing of a family of cuts of a graph is an augmented drawing of the graph such that every cut in the family is represented by a simple closed curve and vice versa. We show tha...
Ulrik Brandes, Sabine Cornelsen, Dorothea Wagner
GD
2001
Springer
13 years 10 months ago
A Short Note on the History of Graph Drawing
The origins of chart graphics (e.g., bar charts and line charts) are well known, with the seminal event being the publication of William Playfair´s (1759-1823) ¨The Commercial a...
Eriola Kruja, Joe Marks, Ann Blair, Richard C. Wat...
GC
2006
Springer
13 years 5 months ago
The Semi-Arc Automorphism Group of a Graph with Application to Map Enumeration
A map is a connected topological graph cellularly embedded in a surface. For a given graph , its genus distribution of rooted maps and embeddings on orientable and non-orientable s...
Linfan Mao, Yanpei Liu, Erling Wei
COMPGEOM
2010
ACM
13 years 11 months ago
Finding shortest non-trivial cycles in directed graphs on surfaces
Let D be a weighted directed graph cellularly embedded in a surface of genus g, orientable or not, possibly with boundary. We describe algorithms to compute a shortest non-contrac...
Sergio Cabello, Éric Colin de Verdiè...