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» Coloring Vertices and Faces of Locally Planar Graphs
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WG
2001
Springer
14 years 1 months 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...
COCOON
2003
Springer
14 years 1 months ago
Graph Coloring and the Immersion Order
The relationship between graph coloring and the immersion order is considered. Vertex connectivity, edge connectivity and related issues are explored. These lead to the conjecture...
Faisal N. Abu-Khzam, Michael A. Langston
ICALP
2011
Springer
13 years 1 days ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
COMPGEOM
2003
ACM
14 years 1 months ago
Planar minimally rigid graphs and pseudo-triangulations
Pointed pseudo-triangulations are planar minimally rigid graphs embedded in the plane with pointed vertices (adjacent to an angle larger than π). In this paper we prove that the ...
Ruth Haas, David Orden, Günter Rote, Francisc...
ENDM
2007
88views more  ENDM 2007»
13 years 8 months ago
Graph coloring with no large monochromatic components
For a graph G and an integer t we let mcct(G) be the smallest m such that there exists a coloring of the vertices of G by t colors with no monochromatic connected subgraph having ...
Nathan Linial, Jirí Matousek, Or Sheffet, G...