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WG
2001
Springer
14 years 29 days ago
Graph Subcolorings: Complexity and Algorithms
In a graph coloring, each color class induces a disjoint union of isolated vertices. A graph subcoloring generalizes this concept, since here each color class induces a disjoint un...
Jirí Fiala, Klaus Jansen, Van Bang Le, Eike...
JCT
2006
81views more  JCT 2006»
13 years 8 months ago
Independent sets in triangle-free cubic planar graphs
: We prove that every triangle-free planar graph on n vertices with maximum degree three has an independent set with size at least 3 8 n. This was suggested and later conjectured b...
Christopher Carl Heckman, Robin Thomas
GD
1998
Springer
14 years 23 days ago
An Algorithm for Three-Dimensional Orthogonal Graph Drawing
Abstract. In this paper we present an algorithm for 3-dimensional orthogonal graph drawing based on the movement of vertices from an initial layout along the main diagonal of a cub...
David R. Wood
SPAA
2000
ACM
14 years 27 days ago
Fault tolerant networks with small degree
In this paper, we study the design of fault tolerant networks for arrays and meshes by adding redundant nodes and edges. For a target graph G (linear array or mesh in this paper),...
Li Zhang
ENDM
2007
68views more  ENDM 2007»
13 years 8 months ago
List Colouring Squares of Planar Graphs
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
Frédéric Havet, Jan van den Heuvel, ...