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CORR
2007
Springer
113views Education» more  CORR 2007»
14 years 9 months ago
Note on edge-colored graphs and digraphs without properly colored cycles
We study the following two functions: d(n, c) and d(n, c); d(n, c) (d(n, c)) is the minimum number k such that every c-edge-colored undirected (directed) graph of order n and mini...
Gregory Gutin
JCT
2010
70views more  JCT 2010»
14 years 8 months ago
Graphs with bounded tree-width and large odd-girth are almost bipartite
We prove that for every k and every ε > 0, there exists g such that every graph with tree-width at most k and odd-girth at least g has circular chromatic number at most 2 + ε...
Alexandr V. Kostochka, Daniel Král', Jean-S...
JCO
2010
67views more  JCO 2010»
14 years 8 months ago
Galaxy cutsets in graphs
Given a network G = (V, E), we say that a subset of vertices S ⊆ V has radius r if it is spanned by a tree of depth at most r. We are interested in determining whether G has a cu...
Nicolas Sonnerat, Adrian Vetta
FOCS
2009
IEEE
15 years 4 months ago
Approximation Algorithms for Multicommodity-Type Problems with Guarantees Independent of the Graph Size
— Linial, London and Rabinovich [16] and Aumann and Rabani [3] proved that the min-cut max-flow ratio for general maximum concurrent flow problems (when there are k commodities...
Ankur Moitra
DM
2006
83views more  DM 2006»
14 years 9 months ago
A note on k-cop, l-robber games on graphs
We give an algorithmic characterisation of finite cop-win digraphs. The case of k > 1 cops and k l 1 robbers is then reduced to the one cop case. Similar characterisations are ...
Gena Hahn, Gary MacGillivray