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» On cyclically orientable graphs
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CORR
2007
Springer
116views Education» more  CORR 2007»
13 years 8 months ago
Frugal Colouring of Graphs
A k-frugal colouring of a graph G is a proper colouring of the vertices of G such that no colour appears more than k times in the neighbourhood of a vertex. This type of colouring...
Omid Amini, Louis Esperet, Jan van den Heuvel
IPL
2008
82views more  IPL 2008»
13 years 8 months ago
On fully orientability of 2-degenerate graphs
Suppose that D is an acyclic orientation of the graph G. An arc of D is dependent if its reversal creates a directed cycle. Let d(D) denote the number of dependent arcs in D. Defi...
Hsin-Hao Lai, Gerard J. Chang, Ko-Wei Lih
JCO
2007
130views more  JCO 2007»
13 years 8 months ago
On edge orienting methods for graph coloring
We consider the problem of orienting the edges of a graph so that the length of a longest path in the resulting digraph is minimum. As shown by Gallai, Roy and Vitaver, this edge ...
Bernard Gendron, Alain Hertz, Patrick St-Louis
GD
2005
Springer
14 years 1 months ago
Applications of Parameterized st-Orientations in Graph Drawing Algorithms
Abstract. Many graph drawing algorithms use st-numberings (st-orientations or bipolar orientations) as a first step. An st-numbering of a biconnected undirected graph defines a d...
Charalampos Papamanthou, Ioannis G. Tollis
DAM
2007
129views more  DAM 2007»
13 years 8 months ago
Easy and hard instances of arc ranking in directed graphs
: In this paper we deal with the arc ranking problem of directed graphs. We give some classes of graphs for which the arc ranking problem is polynomially solvable. We prove that de...
Dariusz Dereniowski