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» The Alcuin Number of a Graph
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AUSAI
2003
Springer
14 years 1 months ago
A New Hybrid Genetic Algorithm for the Robust Graph Coloring Problem
Abstract. The RGCP (Robust Graph Coloring problem) is a new variant of the traditional graph coloring problem. It has numerous practical applications in real world like timetabling...
Ying Kong, Fan Wang, Andrew Lim, Songshan Guo
CPC
1998
123views more  CPC 1998»
13 years 7 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
IPL
2011
63views more  IPL 2011»
13 years 3 months ago
Edge-colored graphs with applications to homogeneous faults
In this paper, we use the concept of edge-colored graphs to model homogeneous faults in networks. We then use this model to study the minimum connectivity (and design) requirement...
Yongge Wang, Yvo Desmedt
JGT
2011
109views more  JGT 2011»
13 years 3 months ago
Total weight choosability of graphs
A graph G = (V, E) is called (k, k )-total weight choosable if the following holds: For any total list assignment L which assigns to each vertex x a set L(x) of k real numbers, an...
Tsai-Lien Wong, Xuding Zhu
FOCS
2009
IEEE
14 years 2 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