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» On the maximum number of edges in quasi-planar graphs
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IPL
2006
115views more  IPL 2006»
13 years 7 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»
13 years 7 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
13 years 7 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»
13 years 5 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»
13 years 7 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