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DM
2008
137views more  DM 2008»
15 years 6 months ago
Nordhaus-Gaddum results for restrained domination and total restrained domination in graphs
Let G = (V, E) be a graph. A set S V is a total restrained dominating set if every vertex is adjacent to a vertex in S and every vertex of V - S is adjacent to a vertex in V - S....
Johannes H. Hattingh, Elizabeth Jonck, Ernst J. Jo...
COMBINATORICA
2010
15 years 4 months ago
Online vertex-coloring games in random graphs
Consider the following one-player game. The vertices of a random graph on n vertices are revealed to the player one by one. In each step, also all edges connecting the newly reveal...
Martin Marciniszyn, Reto Spöhel
ICALP
2011
Springer
14 years 10 months 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
SODA
1990
ACM
114views Algorithms» more  SODA 1990»
15 years 7 months ago
Finding Steiner Forests in Planar Graphs
Given an unweighted planar graph G together with nets of terminals, our problem is to find a Steiner forest, i.e., vertex-disjoint trees, each of which interconnects all the termin...
Hitoshi Suzuki, Takehiro Akama, Takao Nishizeki
DM
2010
118views more  DM 2010»
15 years 6 months ago
Discrepancy and signed domination in graphs and hypergraphs
For a graph G, a signed domination function of G is a two-colouring of the vertices of G with colours +1 and
Anush Poghosyan, Vadim E. Zverovich