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» On the maximum number of edges in quasi-planar graphs
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IPL
2006
115views more  IPL 2006»
14 years 11 months ago
Approximate maximum weight branchings
We consider a special subgraph of a weighted directed graph: one comprising only the k heaviest edges incoming to each vertex. We show that the maximum weight branching in this su...
Amitabha Bagchi, Ankur Bhargava, Torsten Suel
JCO
2007
74views more  JCO 2007»
14 years 11 months ago
Maximum cyclic 4-cycle packings of the complete multipartite graph
A graph G is said to be m-sufficient if m is not exceeding the order of G, each vertex of G is of even degree, and the number of edges in G is a multiple of m. A complete multipar...
Shung-Liang Wu, Hung-Lin Fu
TCS
2008
14 years 11 months ago
Setting port numbers for fast graph exploration
We consider the problem of periodic graph exploration by a finite automaton in which an automaton with a constant number of states has to explore all unknown anonymous graphs of a...
David Ilcinkas
SIAMDM
2010
99views more  SIAMDM 2010»
14 years 10 months ago
Edge-Injective and Edge-Surjective Vertex Labellings
For a graph G = (V, E) we consider vertex-k-labellings f : V → {1, 2, . . . , k} for which the induced edge weighting w : E → {2, 3, . . . , 2k} with w(uv) = f(u) + f(v) is inj...
Stephan Brandt, Jozef Miskuf, Dieter Rautenbach, F...
SIAMDM
2000
159views more  SIAMDM 2000»
14 years 11 months ago
Approximating Fractional Multicommodity Flow Independent of the Number of Commodities
Abstract. We describe fully polynomial time approximation schemes for various multicommodity flow problems in graphs with m edges and n vertices. We present the first approximation...
Lisa Fleischer