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» Improved bounds on acyclic edge colouring
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ENDM
2007
140views more  ENDM 2007»
13 years 5 months ago
Acyclic dominating partitions
Given a graph G = (V, E), let P be a partition of V . We say that P is dominating if, for each part P of P, the set V \ P is a dominating set in G (equivalently, if every vertex h...
Louigi Addario-Berry, Ross J. Kang
GD
2004
Springer
13 years 10 months ago
Layouts of Graph Subdivisions
A k-stack layout (respectively, k-queue layout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges wi...
Vida Dujmovic, David R. Wood
ORDER
2006
97views more  ORDER 2006»
13 years 5 months ago
Upward Three-Dimensional Grid Drawings of Graphs
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line segments representing the edges ...
Vida Dujmovic, David R. Wood
IWOCA
2009
Springer
157views Algorithms» more  IWOCA 2009»
13 years 12 months ago
Forbidden Subgraph Colorings and the Oriented Chromatic Number
: We present an improved upper bound of O(d1+ 1 m−1 ) for the (2, F)-subgraph chromatic number χ2,F (G) of any graph G of maximum degree d. Here, m denotes the minimum number of...
N. R. Aravind, C. R. Subramanian
COMGEO
2010
ACM
13 years 5 months ago
The complexity of flow on fat terrains and its i/o-efficient computation
We study the complexity and the I/O-efficient computation of flow on triangulated terrains. We present an acyclic graph, the descent graph, that enables us to trace flow paths in ...
Mark de Berg, Otfried Cheong, Herman J. Haverkort,...