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» Labeling planar graphs with a condition at distance two
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ARSCOM
2005
98views more  ARSCOM 2005»
13 years 6 months ago
Supereulerian planar graphs
We investigate the supereulerian graph problems within planar graphs, and we prove that if a 2-edge-connected planar graph G is at most three edges short of having two edge-disjoi...
Hong-Jian Lai, Deying Li, Jingzhong Mao, Mingquan ...
SIAMDM
2008
140views more  SIAMDM 2008»
13 years 6 months ago
Bounds for the Real Number Graph Labellings and Application to Labellings of the Triangular Lattice
We establish new lower and upper bounds for the real number graph labelling problem. As an application, we completely determine the optimum spans of L(p, q)-labellings of the infin...
Daniel Král, Petr Skoda
JAL
2006
100views more  JAL 2006»
13 years 6 months ago
Distance and routing labeling schemes for non-positively curved plane graphs
Distance labeling schemes are schemes that label the vertices of a graph with short labels in such a way that the distance between any two vertices u and v can be determined effic...
Victor Chepoi, Feodor F. Dragan, Yann Vaxès
GD
1999
Springer
13 years 10 months ago
Planarity-Preserving Clustering and Embedding for Large Planar Graphs
In this paper we present a novel approach for cluster-based drawing of large planar graphs that maintains planarity. Our technique works for arbitrary planar graphs and produces a ...
Christian A. Duncan, Michael T. Goodrich, Stephen ...
ISAAC
2005
Springer
106views Algorithms» more  ISAAC 2005»
13 years 11 months ago
Distance Labeling in Hyperbolic Graphs
A graph G is δ-hyperbolic if for any four vertices u, v, x, y of G the two larger of the three distance sums dG(u, v) + dG(x, y), dG(u, x) + dG(v, y), dG(u, y) + dG(v, x) differ b...
Cyril Gavoille, Olivier Ly