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» On the Number of Cycles in Planar Graphs
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ISAAC
2005
Springer
118views Algorithms» more  ISAAC 2005»
14 years 1 months ago
External Data Structures for Shortest Path Queries on Planar Digraphs
In this paper we present space-query trade-offs for external memory data structures that answer shortest path queries on planar directed graphs. For any S = Ω(N1+ ) and S = O(N2...
Lars Arge, Laura Toma
DM
2000
150views more  DM 2000»
13 years 7 months ago
A note on generalized chromatic number and generalized girth
Erdos proved that there are graphs with arbitrarily large girth and chromatic number. We study the extension of this for generalized chromatic numbers. Generalized graph coloring d...
Béla Bollobás, Douglas B. West
COCOON
2006
Springer
13 years 11 months ago
Optimal Acyclic Edge Colouring of Grid Like Graphs
We determine the values of the acyclic chromatic index of a class of graphs referred to as d-dimensional partial tori. These are graphs which can be expressed as the cartesian prod...
Rahul Muthu, N. Narayanan, C. R. Subramanian
DM
2008
127views more  DM 2008»
13 years 7 months ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
GD
2005
Springer
14 years 1 months ago
A Mixed-Integer Program for Drawing High-Quality Metro Maps
In this paper we investigate the problem of drawing metro maps which is defined as follows. Given a planar graph G of maximum degree 8 with its embedding and vertex locations (e.g...
Martin Nöllenburg, Alexander Wolff