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» On the maximum number of edges in quasi-planar graphs
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ARSCOM
2007
82views more  ARSCOM 2007»
13 years 7 months ago
Extremal properties of (1, f)-odd factors in graphs
Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)odd factor if dF (v) ∈ {1...
Qinglin Roger Yu, Zhao Zhang
GD
2004
Springer
14 years 23 days ago
No-Three-in-Line-in-3D
The no-three-in-line problem, introduced by Dudeney in 1917, asks for the maximum number of points in the n × n grid with no three points collinear. In 1951, Erd¨os proved that t...
Attila Pór, David R. Wood
CORR
2010
Springer
134views Education» more  CORR 2010»
13 years 6 months ago
Locally identifying coloring of graphs
Let G = (V, E) be a graph. Let c : V → N be a vertex-coloring of the vertices of G. For any vertex u, we denote by N[u] its closed neighborhood (u and its adjacent vertices), an...
Louis Esperet, Sylvain Gravier, Mickaël Monta...
CCCG
2007
13 years 8 months ago
Generalized Watchman Route Problem with Discrete View Cost
In this paper, we introduce a generalized version of the Watchman Route Problem (WRP) where the objective is to plan a continuous closed route in a polygon (possibly with holes) a...
Pengpeng Wang, Ramesh Krishnamurti, Kamal Gupta
STOC
2010
ACM
193views Algorithms» more  STOC 2010»
14 years 6 days ago
Maintaining a large matching and a small vertex cover
We consider the problem of maintaining a large matching and a small vertex cover in a dynamically changing graph. Each update to the graph is either an edge deletion or an edge in...
Krzysztof Onak, Ronitt Rubinfeld