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» On the Grundy Number of a Graph
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TALG
2008
97views more  TALG 2008»
15 years 6 months ago
On an infinite family of solvable Hanoi graphs
The Tower of Hanoi problem is generalized by placing pegs on the vertices of a given directed graph G with two distinguished vertices, S and D, and allowing moves only along arcs o...
Dany Azriel, Noam Solomon, Shay Solomon
CPC
1998
123views more  CPC 1998»
15 years 6 months ago
The Size of the Giant Component of a Random Graph with a Given Degree Sequence
Given a sequence of non-negative real numbers 0 1 ::: which sum to 1, we consider a random graph having approximately in vertices of degree i. In 12] the authors essentially show ...
Michael Molloy, Bruce A. Reed
COMBINATORICA
2008
78views more  COMBINATORICA 2008»
15 years 6 months ago
Optimal strong parity edge-coloring of complete graphs
A parity walk in an edge-coloring of a graph is a walk along which each color is used an even number of times. Let p(G) be the least number of colors in an edge-coloring of G havi...
David P. Bunde, Kevin Milans, Douglas B. West, Heh...
FOCS
2009
IEEE
16 years 1 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
COCOON
2009
Springer
16 years 1 months ago
Graph-Based Data Clustering with Overlaps
We introduce overlap cluster graph modification problems where, other than in most previous work, the clusters of the target graph may overlap. More precisely, the studied graph p...
Michael R. Fellows, Jiong Guo, Christian Komusiewi...